\. ./ -r ^>Vv\^«^-^n judgments suppose a necessary identity or diversity in the objects com- pared; a posteriori judgments suppose a mere contingent rela- tion or connexion, learned only by expenence. 30 LOGIC : FIRST PART. 31 ARTICLE II. PROPOSITIONS. A proposition is a judgment expressed in words; v. g., "man is mortal; prudence is a virtue." A proposition consists of three parts : the subject^ copula^ and predicate or attribute. The subject is that of which something is affirmed ; the predicate is that which is affirmed ; and the copula is the term that con- nects or couples the subject and predicate. For example, in the proposition, ''diligence is praiseworthy^'' the subject is '' diligence '^ the copula is the verb "/.f," and the predicate is '' praiseworthy T Logic recognizes but one verb, and but one mood and tense, viz. : the verb to be in the indicative mood and in the present tense. The reason of this is, the affirmation is always indica- tive and present; v, g., "Caesar conquered; James writes," are equivalent to the affirmation ; that which is expressed by '•' conquered'' is predicated of Caesar, etc. All that is not ex- pressed by this verb belongs to the predicate, for it is attributed to the subject. Propositions may be considered in respect to their quality and their quantity or extension. The two concepts com- pared to each other are the matter; the perceivifig of their agreement or disagreement is the form of the proposition; since the copula either affirms or denies agreement, the quality and fon?t of a proposition are indeed the same. Propositions as to their /^rw or quality are ^\\ki^x affirmative ox negative. In an affirmative proposition the predicate is declared to agree with the subject. In the negative proposition the pre- dicate is denied or declared not to agree with the subject. In an affirmative proposition the predicate is taken accord- ing to the whole of its comprehension ; but not according to the whole of its extension. In the proposition, "-air is a body,'' the predicate " body " is taken according to the whole of its comprehension ; that is, all the attributes or essential properties included in body, as such, are predicated of ctir, or said to be verified in air; but, as there are many objects besides air which are body the predicate, body, is not taken in its whole 82 LOGIC : FIEST PART. extension; and it is, therefore, said to be particular in affirma« tive propositions. In such propositions as this, " man is a rational animal," the predicate is commensurate in its extension with the subject; not, however, in virtue of the form, but by accidental coin- cidence. Good definitions are thus convertible and true. In a negative proposition the predicate is taken according to the whcile of its extension; v. g., "matter is not intelligent;" that is, matter is not one of those objects of which ijitelligence can ever be predicated. When any term is thus taken, according to the whole of its extension, or universally, it is said to be distributed. Therefore, in a negative proposition the predicate is always distributed; that is, is taken as universal, or in all its extent. In an affirmative proposition, the predicate is particular^ as already observed. The subject of a proposition is distributed if taken as a universal ; as " every man is mortal ; " " no metal has sensation." Quantity or extension of propositions : quantity or exten- sion regards the extent of the propositions; that is, as being universal or particular ; when universal, the subject of the proposition is taken according to its entire extension; v. g., "all men are mortal." It is particular when the subject is taken according to a part only of its extension; v. g., "some men are learned." Universality, in reference to the matter of the proposition, may be, first, metaphysical^ as when the proposition expresses a judgment a priori; v. g., "a part is less than the whole;" second, it may he physical, as when it is according to the laws of nature, which, however, are contingent; v. g, "the dead do not return to life ; " third, it may be a j?wral universality, that is, when it is taken according to the ordinary action of moral causes; v. g., "a mother loves her child." In respect to the last two, exception is not absolutely impossible. A proposition is either categorical or hypothetical. It is caie' gorical when it positively and unconditionally affirms the agree- ment or disagreement of the predicate with the subject. LOGIC : FIRST PAET. 33 A hypothetical proposition affirms conditionally ; v. g., "if you are virtuous, you will be rewarded." This species of enunciation implies an argtimeiit; and under that respect it may be regarded as pertaining to the third operation of the intellect; i. e., to reasoning. It consists of two propositions ; the first, or ante- cedent^ which affirms the condition; the second is the co7ise- quent, whose truth depends on the verification of the antecedent. A hypothetical proposition is true, if the connexion between the antecedent and consequent be true. It is- sometimes disjunc- tive in form; "every body is either in motion, or at rest." Such a disjunctive is not true when there is a medium; v. g., "John must either write or come to see me." It is possible that he may do neither. A term, or a proposition, is taken reduplicatively, or by reduplication, when any particles or clauses are annexed to it which have the effect 6{ doubling or repeating \\., in order "that the sense in which it is used may be rigorously defined; v. g., "all substance as substance, is good;" "a being, so far forth as it is free, is necessarily intelligent;" "water, as such, is composed of eight parts of oxygen with one part of hydrogen." When a term is used reduplicatively, it is restricted to a precise signification ; the limiting words and phrases are, as such, as^ so far forth, precisely taken, and the like. ARTICLE III. OPPOSITION. For opposition* between two. propositions, first, they must have the same subject; secondly, they must have the same predicate; thirdly, one must, in some sense of the terms, affirm what the other denies. Hence, opposition is a mutual repug- nance between two propositions, arising from the affirmation and negation of the same thing in the same respect. * ' ' Oppositio est affirmatio et negatio ejusdem de eodem. ' ' Opposition is the affirmation and negation of the same thing in regard to the same object. 3 34 LOGIC : FIRST PART. This opposition is twofold, first, of cojitradiction; second, of contrariety; in contradictory propositions, one simply denies the other; v. g., "all souls are substance;" the contradictory, " not all souls are substance." A negative prefixed to any affirmative proposition forms its contradictory, because any particular and negative proposition is the contradictory of the opposite universal proposition. Contrary * propositions are both of them extreme ; that is, what one of them affirms as universal, the other denies with equal universality; v. g., "«^ miser is happy;" the contrary, " all misers are happy." Hence, a contradictory merely denies its opposite, while the contrary goes further, and affirms its equally general opposite. Of two contradictories, one is necessarily true and the other false ; two contraries cannot, at the same time, be true ; but both of them may be false; v. g., "all good men are prosper- ous in this world; no good man is prosperous in this world;" these propositions are both false. Subcontrary propositions are hoi\\ particular, and they differ in quality; that is, one is affirmative and the other negative ; as, "some men are honored;" "some men are not honored." Subcontraries may both be true, but they cannot both be false; for, if both were false, they would make two contradictories to be both false, which cannot be; v. g., "some men are learned;" "some men are not learned." It is evident that both of these propositions cannot be false. Locke, and they who accept his authority in philosophy, deny that the syllogism is a means of discovering truth ; but a careful analysis of the act of reasoning, will show this denial to be erroneous. Reasoning will be explained with sufficient minuteness in the following chapter. * "Contraria juxta se posita magis lucescunt." When contraries are jnit near to each other they become clearer. ♦ 'Contraria vcrsantur circa idem. ' ' Contraries legard the same thing. CHAPTER III. ARTI C L E I. REASONING. The power in the soul by which it perceives^ Judges, reasons.; is termed the understanding, i\\Q judg?ne?it, the reason, accord- ing to the act which it performs ; yet, it is one and the same power that understands, judges and reasons. All the powers of the soul that are concerned in the acts of knowing, when taken collectively, constitute the 7nind; hence, the soul is the spiritual substance with its perfections; the 7nind \s the aggre- gate of its powers or faculties, the understanding, conscious- ness, will and memory ; but 7?iind, more particularly, stands for the power in the soul of knowi?ig. Every process of reasoning is reducible to an act of the mind by which it determines the agreement or disagreement, the identity or diversity of two things, by comparing them to a third; v. g., "that which is designed is the work of an intelH- gent cause ; the world shows design ; therefore, the world is the work of an intelligent cause." The two things here com- pared to a third, are the "world" and " the work of an intelli- gent cause ; " and the third thing to which they are compared is that which is " designed^' with which they both agree, and, therefore, they agree with each other. All reasoning or argument rests on this self-evident princi pie : " when two things are each equal to a third thing, they are equal to each other ; " " when one of two things is equal, and the other unequal to a third thing, they are unequal to each other." Take care to observe, however, that when the two things are both unequal to a third, it does not follow that they are either equal or unequal to each other. 36 LOGIC : FIRST PART. The truth of this agreement or disagreement of two things, following from their relation to a third, is termed the conse- quence or sequence; and the proposition which expresses that agreement or disagreement, as following from the comparison, is called the co?icIusion or consequent. Hence, an act of reasoning, or an argument expressed in full, consists of three judgments or propositions ; the first two are a comparison ; and the third, or conclusion, affirms the consequent which follows from this comparison ; v. g., "All virtue is commendable ; Diligence is a virtue; Therefore, diligence is commendable." Here " diligence " and " commendable " are both compared to "virtue," and judged to agree with it; the agreement of "dili- gence " and " commendable " is perceived to follow from their agreement with " virtue " ; and the truth of that agreement thus following, is the sequence or consequence which is declared in the third proposition or conclusion, " diligence is commend- able." Seque?ice, therefore, expresses the dependoice of the conclusion on the premises; and is truly there when the con- clusion or consequent really follows from the premises. ARTICLE II. THE SYLLOGISM AND ITS LAWS. An argument expressed in the preceding form is termed a syllogism; hence, a syllogism is defined to be " an argument consisting of three propositions so related to each other that, the first two being granted, the third necessarily follows from them." The first two propositions are sometimes termed the antecedent; also, the premises; and the conclusion is sometimes termed the co?isequent; which, however, must not be con- founded with consequence or sequence. The peculiar and specific act of reasoji, by which its nature LOGIC : FIRST PART. 37 is defined, is, the kiicnving of one thing fi'om another; i. e., reason is the power of deriving the knowledge of one thing from the knowledge of another by means of the relation be- tween the two. [Vide rule fifth for a good definition.) The syllogism is the formula for the act of deriving the knowledge of one thing from that of another by means of their relation to each other. There is no other mode of learn- ing truth proper to reason as such ; tor, it belongs only to in- telligence to perceive truth directly in itself, and not by means of its relation to other truth. To reject the syllogism, there- fore, as a mode of acquiring truth, is to reject reason itself. Nor, in fact, is it possible to state an argument against the syllogism without virtually employing that very form itself; for the argument itself would be an exercise of reason, inas- much as it would be a formal effort to derive the knowledge of one thing from that of another to which it was assumed to be related. When the propositions of a syllogism are categorical, the syllogism is categorical; and when they are hypothetical, it also is hypothetical. A syllogism consists of three propositions, each containing two terms, and each one of these terms is named twice in the syllogism : these terms are the subjects and predicates of the propositions. The subject and predicate of the conclusion are the ex- tremes, the former being the mi?ior extreme or t€r7n, and the latter the major extre?ne or term. The 7najor premise is strictly the one which contains the major extreme; and the minor premise the one which contains the minor extreme. But in practice, the premise which comes first is generally termed the 7?iajor, and the other the 7?iinor premise. The term twice named in i\\e prej7iises to which the extre>7ies are compared is called the 7niddle ter7n: in the preceding syllo- gism " diligence " is the minor extreme, because it is the sub- ject of the conclusion; "commendable" is the major extreme, because it is the predicate of the conclusion ; and " virtue " is 38 LOGIC: FIRST PART. the middle term, because it is the one to which the two others are compared, and it is twice named in the premises. The rectitude of the conclusion, as already obser^■ed, de- pends on its seque7ice; that is, on its following from the pre- mises ; its truth depends on the nature of the matter. Observe, that in the following syllogism — "Every virtue is hateful; Patience is a virtue; Therefore, patience is hateful ; " There is rectitude of conclusion, but it has not truths because one premise is false in matter. The conclusion may express truth, and yet not follow from the premises; v. g., **A11 virtue is good; Health is not a virtue; Therefore, health is good." Here there is truth of matter, but not rectitude or sequence of conclusion. The requisites ot a correct, simple or categorical syllogism are expressed in the following rules or canons : Rule First: The syllogism must contain three, and only three, terms. Rule Second: No term can have greater extejision in the conclusion than it had in the premises. Rule Third : The conclusion must never contain the middle term. Rule Fourth : The middle term must be, at least once, dis- tributed ; that is, it must be, at least once, taken according to the whole of its extensioti. Rule Fifth : A negative conclusion cannot follow from two affirmative premises. Rule Sixth : No conclusion follows from two negative pre- mises. Rule Seventh : The conclusion follows the less worthy pre- mise. Rule Eighth.' No conclusion follows from two particular premises. LOGIC : FIRST PAET. 39 First Rule : The reason of this rule is obvious, if we reflect that a syllogism is founded on a comparison of two terms with a third ; and, hence, if there were four terms, it would not be a syllogism, but several comparisons from which there could follow no certain conclusion ; since the terms might agree in pairs, or disagree, without any relation to a thb-d term. There may be four terms explicitly or implicitly; v. g., "Diligence is commendable; But anger is not a virtue ; Therefore, anger is not commendable." This syllogism contains four terms explicitly. But when four terms are used, it is generally done by employing the middle term in two senses: * Ctesar is a word of two syllables ; But Brutus killed Ccesar; Therefore, Brutus killed a word of two syllables." In this syllogism Ccesar is used in two senses — as a word and for di person; hence, when the middle term is ambiguous, it is equivalent to two terms. Second Rule : If a term have greater extent in the con- clusion than it had in the premises, there would then be in- ferred from the premises what is not contained in them ; but the conclusion, from its nature, is that which follows from the premises; v. g., "Every animal is a substance; No tree is an animal ; Therefore, a tree is not a substance." In this syllogism "substance" is a particular term in the pre- mises, while it is universal in the conclusion ; that is, in the premises " substance " is compared to the middle term only as to a part of its extent; while in the conclusion it is denied of " tree," according to its whole extension. Hence the conclusion, as such, can have no greater exten- sion than its premises. The fact that we frequently derive the knowledge of that which is greater from the knowledge of that which is less, as, for example, when from their relation we infer a cause from an 40 LOGIC : FIRST PART. effect, which, as such, is inferior to it,* is not adverse to this rule when rightly understood. The conclusion must not have greater extension than the premises ; but it may have more comprehe?ision; nay, its terms, in some sense, itiust have greater comprehension ; for the conclusion is the synthesis of a subject and predicate which is not made in the premises. Third Rule : If the middle term be used in the conclu- sion, nothing would be inferred; since the conclusion in that case would be but a repetition, in some shape, of one premise, and, therefore, it would not express a sequence; v. g., "All virtue is commendable; Kindness is a virtue ; Therefore, virtue is commendable." Fourth Rule : If the middle term be not, at least once, distributed ; that is, be not at least once a universal, it would be equivalent to two terms ; for it might be taken, according to one part of its extent, in one premise, and according to an- other part in the other; whence the major and minor terms would not necessarily be compared to the same thing; v. g., ** Every man is an animal; Every bird is an animal; Therefore, every man is a bird." In this syllogism "man" is compared to "animal," taken ac- cording to one part of its extension, and " bird," according to another part; whence, as the two extremes are not compared to the same term, no conclusion legitimately follows. The subject of every universal proposition is distributed, and it is not distributed in any other than a universal proposition; the predicate of every negative proposition is distributed, and it is not distributed in any but a negative proposition. Fifth Rule : A negative conclusion cannot follow from two affirmative premises ; for, when they affirm the agreement of the major and minor terms with the middle, the conclusion must affirm the consequent agreement of the major and minor; V. g., "a substance whose action, or mode of operation, exceeds ♦ "Semper enim est potior causa suo effectu." — Div. Th. 1, 2, p. q. 66, a. 1. The cause is always superior, in some respect, to its eflfect. LOGIC : FIRST PART. 41 the powers of matter, is above matter ; the actions of the human soul transcend the powers of matter; therefore, the human soul is a substance which is superior to matter," is a correct syllog- ism by this rule. Sixth Rule : When the premises deny the agreement of both the major and minor terms with the middle term, then nothing is affirmed as to the identity or diversity of the major and minor; it is only declared that they do not agree with the middle term; hence, when both extremes disagree with the middle term, they may either agree or disagree with each other; v. g., * ' A reptile is not a bird ; A snake is not a bird ; Therefore, a snake is not a reptile." This conclusion, though false in matter, derives neither truth nor falsehood from the premises. ** A bird is hot a reptile ; A tree is not a reptile ; Therefore, a tree is not a bird." This conclusion is true in matter, but it does not follow from the premises. Seventh Rule : The unworthy premise is that which is negative^ in respect to that which is affirmative; and that which is particular^ in respect to that which is universal. The reason of the rule will become obvious if it be observed that when one premise affirms the agreement of its extreme term with the middle term, and the agreement of the other term with the middle is denied in the remaining premise, it follows that the extremes disagree with each other; v. g., Or If A is equal to B, And C is not equal to B ; Then C is not equal to A. ** None but organized, living, corporeal beings are mortal; Angels are not corporeal beings ; Therefore, angels are not mortal." Again, if a term which is particular in the premises, be made universal in the conclusion, in such case, an agreement will be 42 logic: first part. affirmed in the conclusion which is not implied in the prem- ises; V. g, "All virtue is commendable; some parsimony is a virtue; therefore, all parsimony is commendable." Here the conclusion affirms that all parsimony agrees with " com- mendable," though in the premises it is only said that some parsimony agrees with " virtue," the middle term. Hence, this is, at the same time, a fault against the second rule. Eighth Rule : When both premises are particular, and at the same time affirmative, then the middle term is not distrib- uted, which is wrong by rule the fourth; v. g., " Some Cretans were liars; some Romans were liars; therefore, some Cretans were Romans." This is a vicious syllogism; for the major and minor terms agree with " liars " in different parts of its extension. If both premises be particular and negative, nothing follows from them, by rule the sixth ; but if one of the particular prem- ises be affirmative and the other negative, and the middle term be distributed in the negative premise, then, since the conclu- sion must be negative, one extreme will have more extension in the conclusion than it had in the premises, which is contrary to rule second; v. g., "Some men are prudent; some merchants are not prudent; therefore, some merchants are not men." Yet, even when the terms are all singular, the conclusion may be valid; v. g., "Romulus was the founder of Rome; the first kmg of Rome was Romulus; therefore, the first king of Rome was the founder of Rome." Here the conclusion is really consequent, for the middle term, "Romulus," may be considered as virtually a common term taken according to its whole extent and including " founder of Rome," and " first king of Rome;" this is termed by the old philosophers, an expository syllogism. It is an apparent exception to the eighth rule. When the three terms are really singular^ they may be iden- tical as to their object; and then it is not a real argument, but a sort of definition, by synonyms ; v. g.. " Man is a rational animal ; man consists of soul and body; therefore, a rational animal consists of soul and body." This also is an expository syllogism. LOGIC : FIKST PART. 43 ARTICLE III. HYPOTHETICAL OR CONDITIONAL SYLLOGISMS ; THE DIS- JUNCTIVE SYLLOGISM. A hypothetical syllogism is one in which a categorical con- clusion is deduced from a hypothetical premise. In a hypo- thetical proposition, the conclusion or consequent is verified when the condition is verified ; hence, when the major propo- sition is conditional, i. e., has a condition which is expressed by " if," or its equivalent, in the minor the truth of the condi- tion is affirmed as a categorical proposition, from which the truth of the conclusion follows; or the truth of the consequent is denied; whence the falsity of the condition will result; v. g., ** If Brutus killed Ceesar, then Caesar is dead; But Brutus did kill Csesar ; Therefore, Caesar is dead." In such syllogisms, then, the minor premise may either affirm the truth of the condition, or deny the truth of the conclusion; in the first case, the consequent will be the conclusion of the syllogism; v. g., '• Caesar is dead;" in the second, the denial of the condition will be the conclusion of the syllogism; v. g., " Brutus did not kill Caesar ; " and in both cases, the argument will be in form ^ that is, consequent. But, as regards the ^natter, it does not follow that if the con- dition be false, the consequent is therefore false; for it may be true for some other reason; v. g., even if Brutus did not kill Caesar, still Caesar may be dead from some other cause. Again, it does not follow that if the consequent be true the condition is therefore true, for the consequent might be verified by a different condition ; v. g., though it may be granted that Caesar is dead, it does not therefore follow that he was killed. In such hypothetical enunciations as the following, "if man is a mineral, he does not feel; " the consequent has not real, but only siippositive truth, for the antecedent is merely an arbitrary supposition. Hence, when, in a conditional proposition, the truth of the 44 ' LOGIC : FIRST PART. affirmative consequent is really dependent on that of the affirni« ative antecedent; or, also, when the afitecedent is so included in the consequent^ that the denial of the consequent necessarily implies the denial of the afitecedent^ we have for the conditional argument the following Rule : First, In the affirmative conditional, the minor pre- mise must affirm the antecedent^ and the conclusion must affirm the consequent ; v. g., " if the soul reasons, it is a simple sub- stance; but the soul does reason; therefore the soul is a simple substance." Seqond, In the negative co?iditional, the minor premise must deny the consequent^ and the conclusion must deny the antecedent^ observing that two negatives in English are equivalent to an affirmative; v. g., "if the soul perishes when the body dies, then the soul is not a spiritual substance; but the soul is {is not not) a spiritual substance ; therefore, the soul does not perish when the body dies." As regards Xh^form of the hypothetical or conditional argu- ment the preceding rule is absolute, or it admits no exception. But it may happen by accident, or in virtue of the matter, that the conclusion is true, even when these rules are inverted ; as, for example, when the antecede?it is the sufficient reason of the C07isequent; if the antecedent is defiied, the consequent may also be denied; v. g., " if the sun is at the meridian, it is noon; but the sun is ?tot at the meridian; therefore, it is not noon'' This conclusion is true, not in virtue of the form, but on account of the matter; in other words, it is not logically consequetit, though it is materially true. Also, when the co?idition and consequetit are in matter iden- tical and co-extensive, by accident, and not in virtue of the form, the falsity of the condition infers the falsity of the conclu- sion ; v. g., " if Apollo was not a man, then he was not a rational animal; but he was a man; therefore, he was a rational animal" : " if man is immortal, he will not die; but he is not immortal ; therefore, he will die." As the condition and con- ditionate are identical, the falsity of one always infers, neces sarily, the falsity of the other, on account cf that identity. This .species of argument, for its brevity, is used in practice ; and LOGIC : FIRST PART. 45 when the matter is true, the proof of the condition is the proof, also, of the conditionaie; or vice versa. The same thing which is misunderstood or denied under one forrfl of expression, may be seen and admitted under another; hence, this mode of proof is legitimate, and may be useful in some cases. A syllogism is disjunctive when it proceeds from a disjunc- tive proposition. The disjunction of the antecedent and con- sequent is perfect when they divide the whole matter so as to admit no medium; v. g., "man is either mortal, or not mortal;" in man there can be no medium between mortality and immor- tality. The truth or rectitude of the disjunction is determined by the matter. In the completely disjunctive syllogism, the admission of one member of the disjunction requires the denial of the other; v. g., "either man is mortal, or he is immortal; but he is mortal ; therefore, he is not immortal ; " " the honor of first discovering America belongs either to Americus or to Columbus ; it belongs to Columbus ; therefore, it does not belong to Americus." When one member of a disjunctive premise is merely the contradictory of the other, if the affirm- ative one be granted, the negative one has a double negation, which is really an afhrmative; v. g., " either it rains, or it does not rain ; it does rain ; therefore, it does not not rain ; " i. e., it does rain. ARTICLE IV. OTHER FORMS OF ARGUMENT WHICH MAY BE REDUCED TO THE SYLLOGISTIC FORM. The enthymeme is a syllogism, one of whose premises is not expressed; v. g., "the poor are men; therefore, they are not to be contemned." The sorites is a series of propositions in which the predicate of the first is the subject of the second, the predicate of the second is the subject of the third, and so on till the last or conclusion, in which the predicate of the last proposition is conjoined to the subject of the first proposition ; 46 LOGIC : FIRST PART. V. g.j " he who does not restrain his passions, has many violent desires; he that has many violent desires, is unquiet; he that is unquiet, is miserable ; therefore, he that does not restrain his passions is miserable." Both these forms of argument consist of abridged syllogisms. The epycherema is a syllogism in which one or both of the premises are proved, each by its reason ; or it has its reason annexed to it in the syllogism; v. g., "every spiritual substance is incorruptible, since it neither has parts nor depends on matter; but the human soul is a spiritual substance, since it is intel- ligent; therefore, the human soul is incorruptible." The dilemma is a compound argument which consists of two members proposed disjunctively, and so related that the legiti- mate conclusion from either member, or horn, is a refutation of the adversary; v. g., " the skeptic's denial of all certainty is either true or false ; if true, then that is certain ; if false, still more is there certainty ; therefore, in either supposition, scep- ticism is false." This argument is called a dilemma, because it consists of but two meinbers. The trile7?wia and quadrile7nma are too compli- cated to be ordinarily useful in reasoning. A dilemma is faulty; ist. If the division of the matter made by the disjunctive be not co?nplete; in other words, if there be a medium of escape from it. The dilemma put into the mouth of Socrates when dying, has this fault: " Death is either a sweet sleep, or it is a transition to the happy companionship of Orpheus and Ulysses; in either case, therefore, it is good to die." Between " sleep " and the " society of Ulysses," there is a wide medium. But when the early Christians said to the Roman tyrant, " either we are innocent, or we are guilty; if innocent, why condemn us ? if guilty, why refuse us a lawful trial ? " between men's infwcence and guilt, and also between the corresponding provisions of the law, there is no medium. 2d, The conclusion derived from one, or each member of the dilemma, may not be les^iiimaie; in this case, it not only proves nothing, but it may be retorted ; v. g., it was said to a judge, who was about to enter into office, " you will administer the LOGIC : FIRST PART. 47 laws either well or ill; rf well, you will displease the people; if ill, you will displease the gods;" he retorted, "I will adminis- ter the laws justly or unjustly; if justly, I shall not displease the gods; if unjustly, I shall not displease the people." Another example of the dilemma which may be retorted : Protagoras bargained to educate Euathlus for the law, half of the money to be paid when his studies were finished, the rest when Euathlus gained his first suit; after some time Protago- ras sued Euathlus, and this was the first case for Euathlus. Protagoras thus argued : " Either Euathlus will lose or gain this case; if he lose it, then the money is to be paid me by the decision of the court; if he gain it, then he must pay me by our cojitract." Euathlus retorted : " If the decision is in my favor, then I will pay nothing by the sentence of the court; if agamst me, I will pay nothing according to the contract, since I will not have gained my first case. ^' The fallacy really arises from Protagoras having, by the contract, no right to bring the suit, as he was to wait till Euathlus gaified his first case; hence, the disjunction did not include the who/e matter. Euathlus' dilemma was at fault, because he assumed that the judge's decision would annul the contract, or exempt him from paying, if he gained the suit; and Protagoras was wrong for assuming the cancelling of the contract, in case the decision of the judge was adverse to his disciple. A sophist argued : "You say that you tie; and if you speak the truth, then you do tie; if you ssij falsely that you lie, then also you lie; therefore, whether you speak truly or falsely, you lie." He does "lie" in either case, but not about the same thing, and under the same respect. " The logical axiom that ' the premises contain the conclu- sion,' is either true, or it is not; if true, then the spiritual czxi- not be deduced from the fnaterial,'^ etc. It may be answered that the "premises contain the conclusion" in respect to ex- tension, as a universal contains its inferiors, or also as one term of a relation includes the other ; but they do not necessarily contain the conclusion in any sense really different from this. CHAPTER IV. ARTICLE I. SCIENTIFIC METHOD : ANALYSIS AND SYNTHESIS, IN THHIF RELATION BOTH TO PARTICULAR SCIENTIFIC COGNITIONS, AND TO SYSTEMS OF SUCH COGNITIONS. There are two methods which the mind follows in acquiring or imparting knowledge by reasoning; namely, A?ialysis and Synthesis. In analysis the mind proceeds from the compound to its simple components, from the particular object to the general truth ; but in synthesis this order is inverted, and the mind proceeds from the simple to the compound, from the general to the particular. The particular, as this man, this rose, is compound, or has many component marks or properties, while the universal has but one mark; hence, the process of going from a particular object or truth to the general or universal, is atialysis. When we say that the particular is compound, we regard the co7npre' hension of the term. The more general the term is, the greater its extension, but the less its comprehension; v. g., the term man includes many marks, as, " substance," " animal," " rational " ; the term being includes but one mark, but, as to its extension, it is applicable to all things. When by argument we proceed from a subject to a predicate, the method of reasoning is a7ialytical ; when the reasoning is from the predicate to the subject, the method is synthetical. A simple syllogism is synthetical ; a sorites may combine in it both synthesis and analysis. But analysis and synthesis may also regard the general method by which a series of cognitions, a particular system of knowledge or a particular science is ac- quired or taught ; however, they are alvvays distinguished from 48 LOGIC : FIKST PAET. 49 each other in the same manner. By a?ialysis we resolve what is complex into its simple constituents; hy synthesis viQ form one whole out of many constituents. By analysis we find the extension of terms, ideas or propositions ; by synthesis we find their coniprehev.sion* In all lengthy trains of reasoning both synthesis and analysis may occur, whether the general method be conducted according to the one or the other. Induction, as a method of acquiring science, is analysis; regarded as a syllogism, it is sy?ithesis; for, as a general method of scientific reasoning, it deduces univer- sal principles from particular facts, and this is analysis. Wlien its conclusions are Jinally established, it is by one argument concerning iho. 7iihole class in which a law or property is pre- dicated oi them ; this is synthesis, and' yet it pertains to the in- duction. When a property is deduced from a substance ; when algebraic formulce are resolved by transformation into more general formulae ; the process in each case is analysis ; for, in these instances, the universal is deduced from the par- ticular. When we predicate the effect of the cause, or pass from the general truth to the particular object, the process is synthesis. Analysis is called, also, the method of ifivention; synthesis the method of discipline, or instruction. Observe, however, that in educatio?i, considered as to its general scope and progress, knowledge advances by analysis; for the progress of the mind in education thus generally un- derstood, is from the particular to the universal ; from what is less universal to what is more universal ; but yet the particular steps or acts of cognition by which the mind proceeds, are, as already remarked, both those of synthesis and those of analysis. This will be easily understood if it be kept in mind that t«> deduce a general property from its subject is analysis; to p7-edi, eate is synthesis. The mind, by the law of its nature, begins with the knowledge of physical and sensible objects, reasons to the-.r general properties ; it passes from quantity to its gene- ral properties, and finally attains to strictly metaphysical truth : * " Multa ex uno analysis, unura ex multis eflicit synthesis." Anaiysis m ikes many out of one; synthesis makes one out of many. 4 50 LOGIC : FIRST PART. /'. e , to the most absolute and universal truth. This progress of the intellect, considered as to its general method and final result, is analytical. But the particular arguments or acts of reasoning in this advance of the intellect towards what is most universal, are sometimes synthetical, sometimes analytical, in their method; v. g., when the universal axioms of geometry are proved to be verified in particular figures, or parts of quan- tity, this is synthesis; but when, by comparing the parts or divisions of particular figures, general conclusions are deduced from them, this is analysis. If we conceive gemis as composed of species, and species as co7nposed of individuals, then to resolve genus into its species thus assumed to be its components, and resolve species into individuals, is analysis. But this, however, would not be a strictly correct mode of conceiving the nniversals, genus and species. Since analysis is the resolution of that which is cofn- poimded into its constituents, it properly regards the comprehen- sion of its object, not the extensio?7. Yet, it may sometimes be convenient to conceive extension as consisting of component parts of quantity; in which case it is to be regarded as capa- ble of analysis, in a wider sense of the term. ARTICLE II. DEMONSTRATION. Demonstration is a legitimate argument in which an evident conclusion necessarily follows from evident premises. Its pre- mises are either immediately evident in themselves; or they are mediately evident as necessary conclusions from other premises, which are evident. Such demonstration is simple when it con- tains but one argument, or syllogism ; it is complex when it contains two or more arguments. The premises are prior to the conclusion ; they are the cause of the conclusion ; they are better hiown than the conclusion. A demonstration is direct when the conclusion is evident from the agreement of the subject and predicate; v. g., "the LOGIC : FIRST PART. 51 first cause must be independent of any preceding cause ; now, God is the first cause; therefore, God is independent of all preceding cause." The demonstration is i?idirect when it is shown that the con- tradictory of a proposition necessaftly leads to an absurdity; V. g., " God is either eternal, or he is not ; " to say that " God is not eternal," is to affirm a proposition that leads to absurdity; for that which is not eternal is produced by some cause ; but by the hypothesis, " God is not eternal ; " therefore God, the first cause, is produced by some cause; which is absurd. A demonstration may be either a priori or a posteriori. When the truth of the conclusion depends upon, and proceeds from, the truth of its evident premises, as its necessary cause, the argu- ment is a priori; but when the truth of the premises logically depends upon the truth of the conclusion, then the argument is a posterioii; in the first case the reasoning is from principles to their results, or this is to reason a pj'iori; but in a posteriori reasoning, the process is from the results to the principles or causes. It is to be observed that the a priori method of argument regards truths taken in their ontologieal oidQX) \ki^ ontolvgical order proceeds according to the real relation which they bear to each other as cause and effect, in themselves considered ; and in this respect the cause is prior to the eff'eci. The logical or psychological order regards the relation to each other in which we first ktiow or learn them; which, in many cases, is in the reverse order ; that is, by passing from the knowledge of the effects to the knowledge of their causes: taking truths in this order, is to learn or reason a posteriori. A thing may be prior to another, either physically or meta- physically; a thing \% physically prior to another, when it is the real cause of the other ; it is metaphysically prior., when it is an essence from which attributes*' are conceived as emanating ; or in which they are conceived as inhering; for essence is 7neta- physically prior to attribute or quality of any kind. * " Propriura sen atti-ibutum est quod fluit ab essentia ratione formse." Property or atti'ibute is what flows from essence in virtue of the formal princi l)!e in that essence. 52 logic: first part. A R T I C L E I I I . INDUCTION. Liduction is an argument in which we conclude that, because some property or law is true of each individual of a class, or, at least, of a large number of them, it is a property or law of the whole class. The force of the conclusion depends on the uniformity and universality of the facts observed ; it affords cer- tainty for many physical laws of material objects ; because the action of such agents is physically necessary, and is, circum- stances being the same, constant and uniform. But as regards the laws of still more strictly contingent beings; that is, things that really depend on mutable free age/icy for their existence, or, as to whether they w^ill happen or not, the conclusion is sel- dom more than probable or conjectural, as to its logical value. There are i^w classes of real objects in respect to which one mind, or even several minds, can actually make a complete induction. But the general observation of mankind, extending through a great length of time, aiifords proof that is, in many cases, perfectly conclusive, both as to facts and their obvious causes. The induction from facts universally attested, is some- times first formally made by one superior mind ; as, when Newton inferred the law of gravitation, the general induction being suggested by the falling of an apple from the tree. All bodies near the earth's surface do gravitate towards its centre, whatever may be the hypothesis employed to explain the cause. Induction has for its proper object contingent matter, and it is not concerned about necessary matter, as such; scientific demonstration can regard contingent matter as an object, only under those respects in which it is necessary; and since all contingent matter is necessary, under some or other respect, it may all form a proper object of scientific knowledge. In- duction, when regarded as demonstration, is- reducible to a simple syllogism whose conclusion is proved, if the minor pre- mise be verified as a universal. Observe that induction is not identical with the process by which the intellect forms rejiex logic: first part. 53 un'wersah : by induction, a universal is formed from many ; the reflex universal is deduced from one^ and referred to many as essentially true of them. {See page ii8.) Induction affords a prudent rule for the observation and study of natural phenomena ; but it is not a new method of acquiring or imparting science, since man has observed facts and drawn conclusions from his observations ever since the days of Adam. Though Lord Bacon gave no new discovery in Logic or Philosophy when he wrote of induction, and in- sisted so much on the extensive and accurate observation of facts, before laying down their principles; yet his writings stimulated scientific research and helped much to the advance- ment of the material sciences. Both Bacon and Locke failed to perceive that induction, as a distinct mental process, is nothing else than proving by experi- ment the minor premise of a simple syllogism, and that, as an argument, it is valid only in so far as it is a syllogism. ARTICLE IV. PROBABLE ARGUMENT. Probability in objects of cognition is an appearance of truth, coming from a greater force of argument on one side, which inclines the mind to assent to that side as true, but yet leaving room for doubt or fear that the opposite may be true. Both sides of a proposition may, in respect to our knowledge, be truly probable. An argument is va^x^iy probable when one of its premises is onXy probable; for a still greater reason, is it xneveXy probable when both premises are only probable. A proposition is pro- bable only, when there are strong reasons for assenting to it, and yet there is di possibility that its opposite may be true. For probability, as such, is essentially different from certainty, which excludes the possibility of error. It is manifest that truth, when considered in itself objectively 54 LOGIC : FIRST PART. ox a parte rei^ is incapable of mere probability, which, by its nature, pertains to finite cognition only. The conclusion follows the weaker premise, according to the seventh lule of the syllogism; hence, while evident premises give a certain and evident conclusion, one probable premise renders the conchision ojily probable. The argume?it is p?'obable ; ist, when we reason from remote and imperfect ajialogy or indeterminate resemblajice; 2d, when the reasoning is upon some hypothesis. Analogy is a likeness, or a certain agreement of relation or proportion, between ob- jects of different species, on account of which the one suggests the other, and hence, from one similarity, another one is in- ferred. [Vide Chap. i. Art. 3.) Identity includes all that likeness, or sameness of attributes or qualities, found in objects of the same species. Similarity implies an identical quality, or some identical qualities, in ob- jects that are otherwise different; v. g., same c^lor, shape, etc The force of argument founded on analogy., or resemblances, depends upon such general principles as the following: " similar causes produce similar effects ; things that are seen to be similar in nearly every respect, are wholly similar," etc. Analogy can found strict demonstration or give a conclusion which is scientific; v. g., when we demonstrate the existence of God from the creation. The extremes agree with the medium^ in this case, by analogy only. The hypothesis., or supposition, is a ^^proposition, which, though not yet demonstrated, is assimied to be true, because it affords a satisfactory explanation of 7na7iy fads." For example, to assert that " there is a subtile fluid diffused throughout the universe whose undulations explain the phenomena of light." To this class niay be referred many of the theories adopted for the ex- planation of natural phenomena. An hypothesis is more or less probable, according to the number of -facts or phenomena which it satisfactorily explains. Its logical value never excee.ds probability ; or it remains only an opinion until truly demon- strated. An opinion is a judgment which is assented to, but with some hesitancy or fear, as to its objective certainty. Ar LOGIC : FIRST PART. 55 hypothesis that is demonstrated, is thereby changed into a the- sis^ and ceases to be an hypothesis. Between the extremes of attaching too much importance to analogical reasoning and hypothetical theories on the one hand and pronouncing them valueless on the other, is the wiser middle course of estimating them according to the degree of probability which their arguments furnish. ARTICLE V. SOPHISMS OR FALLACTE3. A sophism, or fallacy, is an apparent argument, which, under the specious form of truth, leads to a false or absurd conclusion. The following are the fallacies which most frequently occur: ist, the equivocation, or ambiguous middle; 2d, the fallacy of composition and division; 3d, of the accident; 4th, dictum sim- pliciter et secundum quid; or, confounding what can be said abso- lutely with what can be said under a particular respect only; 5 th, the igjioratio elenchi, or ignoring the questiofi; 6th, the petitio principii, begging the question, or, the vicious circle ; 7th, nan causa ut causa: no cause at all for a cause, or the fictitious cause. The equivocation, or ambiguous middle, is a fallacy arising from the use of a term of more meanings than one ; attribut- ing to it a different signification in each premise, but drawing a conclusion that supposes the two meanings to be identical; V. g., the Romans equivocated, when, after Antiochus had stipulated to surrender half his navy, they compelled him to divide each vessel into halves, and then deliver up the half of his navy by giving them the half of each ship. Ambiguity arises, then, from the fact that a proposition is capable of having two meanings; for example, when the priestess of Apollo said to Pyrrhus, who consulted her when he was about to invade Rome : " I say, Pyrrhus, you the Romans will conquer;" her credit was saved in either eve it; whether Pyrrhus or the Romans were victorious. 56 LOGIC : FIRST PART. This fallacy, or the double middle term, is of the most fre- quent occurrence, perhaps, of all the errors in reasoning. Composition and division: this fallacy is committed if, when two predicates, taken separately or one at a time, agree with the same subject, it is inferred that they agree with it when they are taken conjointly ; v. g., '' Peter can walk and Peter can lie down ; therefore, Peter can at the same time lie down and walk." Peter can walk, and lie down by division, is true ; otherwise, it is not true. Or, vice versa, if they agree when taken conjointly, and it be inferred that they agree when taken separately; v. g., "man has a body and soul, or is a rational animal; therefore, matter is man, and spirit is man;" which is incorrect. Fallacia accidentis : the fallacy of the accident arises from confounding those predicates that esse?itially belong to the subject with those that accidentally belong to it ; or, in other words, from not distinguishing between what is essential, and what is accidental to the subject; v. g., "that is bad from which evil comes ; but evil comes from the study of philoso- phy, medicine, the physical sciences, etc.; therefore, the study of those things is bad." " Evil " comes by accident, to this or that person, owing to intellectual or moral defects, and erro- neous reasoning ; but it does not thence follow that the well directed study of those sciences is bad. Again, " the €xact site of an ancient city is not surely known ; therefore, that city never existed." The fallacy termed dictum simpliciter et secundum quid (of confounding what is simply true with what is true in a certaiii respect only) : a predicate is affirmed simpliciter, i. e., simply or absolutely, when it is affirmed without any limiting word or phrase joined to it ; as, " Plato is learned." Here the predi- cate, "learned," is not restricted to any particular object; but when the predicate is affirmed secundum quid, or, in a cer- tain respect, there is a Hmiting adjunct to it; v. g., "Peter is learned in Botany/' here, " learned," is restricted to a par- ticular object, " Botany." The fallacy arises from arguing that, because the predicate agrees with the subject in one of the LOGIC : FIRST PART. 57 senses, it therefore agrees with it in the other; v. g., "he that throws goods into the sea, wills the destruction of them ; but the master of a vessel, in a storm, throws goods into the sea; therefore, \\q wills the destructiou of them." He wills the destruction of them in a certain respect, as a means to an end necessary, and not otherwise to be attained, it is true ; that he wishes to destroy them simply^ or absolutely and directly, is not true. The fallacy termed, dictiun simpUciter ei secundum quid, or, of what is said simply and absolutely, or relatively and under a certain respect, is like to that termed, accidentis. "A man eats what he buys in the market; he buys raw meat in the market ; therefore, a man eats raw meat." Ignoratio clenchi, or ignoring the question; in familiar lan- guage, often termed '•'■ evading the question/^ or, ^' changing the question.^' Ignoratio elenchi, or ignoring the question, is an evasion of the real question in dispute, and attempting to prove some- thing else that apparently includes the thing in dispute; v. g., if a certain meajis to an end were denied to be just, one should prove that the end is good, and thereby seem to justify the means ; or, if the immortality of the soul were proved, and one should answer as if the eternity of the soul, or its having no beginniiig, were the question. The ignoratio elenchi, or ig?ioring the question, is sometimes from real, not smiulated ignorance of the state of the question; it may also come from obtuseness of the understanding; but it is often the artifice of a crafty and sophistical mind, which is wanting in moral rectitude. This fallacy occurs frequently in the harangues of demagogues; as does also the assertion by means of interrogatory. To the "ignoratio elenchi" may be referred the error which consists in " proving too much ; " of which it is justly said, " he that proves too much, proves nothmg;" v. g., if one should attempt to demonstrate that the human soul \'s, a substance, and his arguments went to show that i?ian's soul has the properties of matter, he would then commit the error of ^^ proving too muchy Petitio principii, or begging the question, under which may be 58 LOGIC : FIRST PART. included the vicious circle* and the false siipposiiioii, is the as^ 'sumption of what is in question ; v. g., if it be the question in dispute as to whether a particular substance have 7veight, and it be answered, " that has weight which is ponderable, the sub- stance in question is ponderable; therefore, it has weigJit;''' this would be the petitio principii, or begging the question. If it should be argued that " the earth turns on its axis because the sun is statio?ia?y; and, on the other hand, the sun is statio?mry, because the earth turns on its axis; " tliis would be to reason in a vicious circle, or to prove two propositions, the one by the other, as a reason. Tf it be said, " Pompey did not return to Kome after the death of Caesar," this would be d, false supposition, or 2^ false assumption; Damdy, falsely assuming it to be a fact that Pompey was alive at Caesar's death. The argument may falsely sup- pose or assume either a fact or a principle; the fallacy is the same in all these cases, and consists in assuming in the argu- ment something that is in question. This fallacy is sometimes concealed under a proverb ; v. g., "the exception confirms the rule;"" i. e,, \\\q. formal exception, or one properly so-called, proves the existence of its co-related rule. For instance, if an old charter were found, exempting a certain family, for special reasons, from military tax, this ex- emption or exception in their favor, would prove the existence of a general law imposing such tax. But this axiom is some- times misapplied; as v. g., when counter facts or contrary in- stances are adduced to prove the non-existence of a rule, then in answer, they are preposterously assumed to be exceptions which prove the existence of the rule. This is false assump- tion; and, when viewed under another respect, it is also the fallacy of the double middle. Non causa pro causa, no cause at all as a cause, is a fallacy, in which that, which is no cause at all, is assumed to produce an effect, simply because the two are contiguous in time and place; or from some other mere coincidence or circumstance. The Pagans ascribed " the downfall of the Roman Empire to the * " Circulus non est vitiosus in relativis." Illation ft-ora one co-relative to another is not a vicious circle. LOGIC : FIEST PAKT. 59 iise of Christianity," when, perhaps, the converse was more nearly true. " Comets cause wars, plagues and other calam- ities." Or this fallacy may be committed by attributing effects to vague and fanciful agents; d.s fate, hick, fortune, or other superstitious causes. They are all the same fallacy, and from such delusions even educated minds are not all exempt. The origin of such errors is ignorance, along with an instinctive desire to know the cause of strange or terrible events. " Post hoc ergo propter hoc; " or, " ^ thing happened after another, therefore, it was caused by ///"is obviously false, and is a form of expression which, on that account, is often em- ployed in answer to the fallacy, " non causa pro causal Of the seven fallacies above described, the first two are verbal fallacies ; the remaining five, are material fallacies ; or, they arise from the matter or truth of the propositions being at fault. Mere sophistry is unworthy of a candid mind ; but even vigorous and truthful intellects may, by mistake, employ incon- sequent argument. The most ordinary fallacy that leads to unintentional error in reasoning, is the complex or ambiguous middle term, which is not accurately distinguished, so that what is false may be rejected, while that which is true is ad- mitted. Examples of inconsequent argument : " as the body is com- posed of many members, so the soul is composed of many powers ; therefore, since the former can be divided into its component parts, so can the latter." Here distinguish between compoujid objects which possess nxembers that are really disti?ict, and, therefore, separable; and objects that are simple, having powers not really distinct from them as parts ; and which are, therefore, indivisible substances. " Whatever is opposed to reason must be rejected ; but faith in mysteries is opposed to reason; therefore, faith in mysteries must be rejected ; " or, '■' Jaith in mysteries is against reason^ Distinguish what is abot^e reason from what is against reason; i3i\s,o, faith that presupposes prudent motives of credibility; and faith that rests on insufficie?it grounds or 710 grounds at all; and is, therefore, unreasonable. To believe what is aboi^e reason, 60 LOGIC : FIKST PART. when we have valid authority for its truth, is not beHef which is aodi/is/ reason, though the object is a//07'e reason ; but to beHeve pretended mysteries, that directly contradict the evi- dent principles of reason, would surely be against reasbn. It will be found that complex or double middle terms gen- erally contain both truth and error; they must, therefore, be carefully distinguished ; the one to be admitted, the other to be rejected. An ancient sophist puzzled some less acute contemporary logicians with the following objection against the possibility of motion : "A thing cannot move where it is 7iot; nor can it move where // is; but that which can neither rnove where it is, nor where it is not, cannot move at all ; therefore, a thing cannot move at all." The ingenious reader will readily see that the clause, " where it is," is equivocal; in one sense it means, " where it is at rest; " in another it signifies, " where it is not at ?'est;" i. e., where // is moving. In this second sense of the words, it may be said that "a thing moves where it is'' It surely cannot move where it is ?iot, in the direct and proper sense of the expression. This sophism, which under a somewhat diiOferent form is at- tributed to Zeno; as also the one devised by him to prove that Achilles could not overtake the turtle which had a given dis- tance the start of him ; both rested, in reality, on the false as- sumption that a period of time consists of an infinite number of moments, and that a given distance consists of an infinite number of points; whereas, in truth, time, distance, and simple motion, as such, do not consist of distinct parts, for they are continuous, and not, as number is, discrete. Observe that an argument is /// logical fonn, when it violates no canon of the syllogism; but an argument which is /// logi- cal form, may still be fallacious or inconsequent reasoning, from error in its matter. 'Any intentional error in the form of an argument, may be styled a sophism; an error in the viatter which leads to a false conclusion, is a fallacy. LOGIC SECOND PART. LOGIC APPLIED. Since Logic is chiefly concerned with the acts of the intellect in discourse of reason, or right argumentation, it is manifest that it must include in its object the truth of cognitions, and the means of knowing with certainty ; without which all mere forms of argument are unmeaning, or nugatory. Hence, the second part of Logic treats of logical truth and certainty; and the means of attaining them. Its object is, therefore, the extrinsic norma of right reasoning; that is, its matter. A genuine or truly valid argument must not only be inform, but its judgments must possess logical truth. CHAPTER L A RTI C L E .1. TRUTH, ERROR AND FALSEHOOD DESCRIBED. Truth* may be divided into ?netaphysical, logical and moral truth. Metaphysical truth is the agreement of the essential properties of a being among themselves, and with their essen- tial concept or prototype, whether that being be actual or only possible ; for, whatever exists, or is only possible, has, in the * "Veritas estrerum, cognitionis, et sermonis." Truth is of things, of cognition, of language. 01 62 LOGIC : SECOND PART. essential and eternal archetype of it, the constituents by which it is what it is, and can be nothing else; and it is such inde- pendently of our knowledge, though not independently of divine intelligence. But ifietaphysical truth, as such, and truth considered as transcendejital, pertain to gefieral metaphysics^ and will be treated in another place. Logical truth* is the conformity of the understanding know- ing to the thing or object known. The concept or idea may be conceived to be the medium between the object and the intellect, "est medium quo incognito. "t Moral truth, \^ the conformity of the language, or signs of thought, to the inter- nal judgment of the person uttering the affirmation of that judgment ; or, it is moral truth, when the internal judgment is truly expressed. The language or sign expressing the inter- nal judgment may be termed, the enunciation. But we must distinguish between the logical truth of an enunciation, and its moral truth ; the enunciation is logically true, when the judg- ment which it declares is right; that is, when the judgment is objectively true; or, expresses a real conformity of the mirid to the object known.j: The enunciation is morally true, when it declares correctly the internal, judgment, such as it is in the mind. When this conformity of the e?iunciatio?i and the internal judgmcTit is wanting, then the enunciation is erro/ieous. Logi- cal truth of enunciations regards the rectitude or the correct- ness of the judgment objectively; moral t-ith pertains to the language of the subject uttering the judgment. It is termed moral truth, because its right expression, or enunciation, is generally subject to the will, which, being free, attributes to it a moral character. As concrete truth always implies both an object known, as * ' ' Veritas est adaequatio intellectus, et rei. ' ' Truth is the equation of intel- lect and object; 1. e., it is the conformity of the power as knowing with the object as known. t " Species intelligibilis (concep^^us) est medium quo et incognitum ut quod.' The idea in the mind is the medium of knowledge, though it is not seen itself ai an object, in the act of perceiving. X ' ' Ex eo quod res est vel non est, vera est oratio. " According as the object is, or is not, the proposition that enunciates it is true. LOGIC : SECOND PAET. 63 one term, and the intellect knowing, as the other term of the relation, truth is sometimes denominated by the objects^ and is then called truth of the metaphysical, physical and moral order, according to the objects. In this sense we may apply the definition of truth by St. Augustin : " Veritas est quae ostendit id quod est : " Truth makes known that which is.* Error is assent to what is false, or dissent from what is true ; it is an act of the mind by which we affirm two things to agree, which do not, in themselves, agree ; or, we deny the agreement of two things, which, in themselves, do really agree. As assent, in matters whose evidence does not force the under- standing, is a free act of the mind, error may be attributed to the will as its formal or actuating cause ; yet the action of the will, in error, is not always deliberate. Falsity : Falsity is the opposite of truth; and is, therefore, a want of conformity in the mind to the object of cognition. This want of conformity is either negative or positive; negative^ when the concept expresses the object only partially or ob- scurely ; V. g, should it contain nothing more about the moon * Truth is, by its nature, for the intellect, and is its proper object; as good is the object of the will, as color and figure constitute the object of sight, or as sound is the object of hearing. Truth, then, is of the intelligible order, or is ordained for the intellect, by its nature; trxith and iiitellect are connotative, so that the one supposes the other. Truth, in itself, is a relation, and is threefold: 1st. The relation of agreement between a real being and its concept, or its essen- tial-prototype, according to which it is constituted; like to that, lor example, which is between the idea of a house in the mind of the architect, and the real house, which he forms exactly according to that idea in his mind; or the idea in the painter's mind, and the ^ic^ure on canvass, which accurately expresses it. 2d. The relation of agreement between the mind knoAving an object, and the object itself; v. g., the exact conformity of the mind knowing an orange to the real orange itself. 3d. The relation of agreement between the words or signs by which we express or manifest the cognitions in our minds, and those cogrnZ/ions as they really are in the mind ; v. g. , " virtue is amiable, ' ' are words that express truly a real judgment of your mind, and, therefore, your words agree with the mind, and the relation is real between the cognition and its enunciation. Truth, then, in its formal entity, is a relation; it is threefold, as said above, and it is totally comprehended in this threefold division: 1st. The agreement or relation between a thing and the prototype in the concept of its essence or nature, is metaphysical truth; 2d. The conformity of the mind knowing, to the object knoAvn, is a relation of agreement between them, and is called logical truth, or intellectual trifth; 3d. The conformity ov relation of agx-eement between words and signs, used to enunciate or manifest cognitions, and the cognitions as they actually are in the mind, ie called moral truth. 64 logic: secot^d paet. than, that it is a luminary. This is false hy privation^ and is, perhaps, more properly, ignorance. Positive falsity, is a disa* greement of the cognition and its proper object ; for, in that case, the mind attributes to the object what does not belong to it, or denies what does belong to it ; this is a want of con- formity in the understanding, to the proper object of its cogni- tion ; V. g., " God is a body; the human soul is material." It may be said, therefore, that falsity in the mind, when positive, is the effect of error in judgment : for, how else can positive falsity be in the mind, or get access thereto ? Simple apprehension cannot, per se, i. e., of itself, or of its own proper action, induce error, or cause falsity in the mind. A simple apprehension, or perception, is an act of the mind by which it acquires an inchoate cognition ; by which it takes hold of the object, as it were; or perceives it, and forms for itself an idea or similitude ot it. In this, nothing is explicitly affirmed or denied by the mind ; and its conformity to the object is limited to the mere perception; as it does not express a judgment. Hence, the apprehension is a necessary effect of a necessary law, and, therefore, cannot be false. The judg??ient, or the understanding judging, is never per se false ; but assejit can be false, by precipitancy, or, by impulse of the will ; and, therefore, positive falsity in the mind is produced only by error in judgment. If it be objected that many ideas of rude and uncultivated people are not conformable to their objects ; as, v. g., they may conceive " the sun to be a round plane a few feet in diameter ^^ etc. ; and, since all languages declare the sun to rise, and set, it would appear that the minds of all men were long i?i error in regard to a sensible fact. We should distinguish : that these ideas may not be con- formable to their objects, negatively, i. e., hy privation, is true; but if it be meant that they are not conformable to their ob- jects, /(?i///V.?/v ; then we should subdistitiguish ; they may not be really conformable after a judgment is formed; but it is not true to say that before the judgment there is a positive falsity^ or want of conformity in the mind to the object. Language LOGIC : SECOND PAET. 65 expresses the sensible fact of the sun's risi7ig and setlifig, though the philosophical hypothesis formerly employed to explain its cause is now known to be untenable; or, in other words, the minds of men did not err in affirming the fact, but philosophers erred in giving its explanation. Mere apprehensions or ideas are true, so far as they express their objects positively; since they are produced by the mind and object, operating both naturally and necessarily. Even the intellect cannot be forced to assent to what is false, as false; but it can, under the command of the will, assent to what is false, in those cases in which the evidence of the truth does not necessitate its decision. Truth, properly so-called, is only in the understanding which judges ; and it is only by a cer- tain imitation or analogy, and, therefore, improperly and incom- pletely, in sensation and simple apprehension, which are means of knowing truth. Truth is fully and properly only in that act by which the mind is fully conformable to its known object ; but the min'd is fully and properly conformable to its object only when it affirms what the object is; /. e., when it judges. Any preceding act of knowing is prehminary and preparatory to full knowledge, or truth, properly so-called. ARTICLE II. DIFFERENT STATES OF THE MIND IN RESPECT TO TRUTH. As the mind attains truth by acquiring ideas conformable to their objects, and by comparing these ideas or concepts to their objects, or among themselves ; it is manifest that the mind may by these efforts approach more or less nearly to complete knowledge of things. Hence, the different states of the mind vn respect to truth. The following classification of those states is sufficiently ':omprehensive : ist, Ignorance; 2d, Doubt; 3d, Suspicion; 4th, Opinion; 5th, Certainty. They comprehend the differ- 5 66 LOGIC : SECOND PART. ent relations the mind may have to the objects of its knowl- edge, either as ignorant of those objects, or as knowing them in different degrees of perfection, i. e.,more or less completely. Ignorance is the state of the mind when it has no knowledge of an object; v. g., we are ignorant as to whether the number of the stars be odd or even ; or what was the precise number of angels created; or how long the present world will endure. Doicbt is the state of the mind when the judgment is sus- pended between the two parts of a contradictory ; or when the assent of the understanding cannot be determined to either of two contradictory propositions or judgments. Doiibi is either positive or negative; doubt is positive when there are reasons that persuade in favor of each proposition ; which, however, do not determine the intellect to assent to either, but leave it, now drawn to one side, now to the other, still hesitating in uncertainty between them. The doubt is negative when there are either no reasons at all in lavor of either side, or such as are of very litde moment. Suspicion is a propensity or i?iclination to judge on slight grounds; in it, the judgment is often prompted or impelled by passion or affection in the will ; and it is apt to tend rather to the unfavorable side. Opinion* is an assent of the understanding to one of two contradictory or opposite propositions; not, however, without fear of the other being true. For an opinion to be prudent, the following conditions muet be fulfilled: ist, a careful examination of the reasons in favor of each contradictory, must precede the assent of the under- standing ; 2d, the side embraced must have in its favor a grave motive; and the objections against it, as well as the reasons in favor of the opposite proposition, must be suitably answered; 3d, the assent in favor of the opinion formed must not be more firm than the motive or decisive reason in its favor justifies. * ' ' Opinio est actus intellectus quo fertur in uncam partem contradictionis cum formidine alterius. Assensus probabilis est idem ac opiniativns. ' '—(Vide Div Thorn. P. I. ; Qii. 79; Art. 9; Ad. 4.) Opinion is an act of the intellect by which it is borne to one side of a contradictory, but with fear lest the opposite be true. Assent to what is probable is the same as opinion. LOGIC : SECOND PAET. 67 An opinion may h^ probable, more probable, most probable ) but an opinion, as such, cannot transcend the hmits of probability; for. if what was an opinion be made afterwards positively certai?i, it thereby ceases to be an opinion, and becomes a thesis or a certain truth. Probability and certainty differ essentially, since they are of different species; and therefore no degree* of prob- ability can constitute certainty. ARTICLE III. certainty; evidence; species of certainty; they differ AS TO intensity. Certainty is a state of the mind in which it adheres firmly to the truth on account of motives which exclude all doubt, and all fear of the opposite being true. Certainty, primarily and properly, is in cognition, and is therefore subjective ;t but it is attributed by translation to the object. For the sake of greater clearness, therefore, certainty may be considered both as objective and subjective. Objective certainty is the necessary truth of the object known, or cognoscible ; its " necessitas seujirmitas essendi. ' ' The neces- sity here meant is, in the case of facts, consequent ; and it is, therefore, common to all accomplish d and actual truth, or to every actual object. Subjective certainty is a firm adhesion of the mind to the object as true, which excludes all doubt and all fear of the opposite being true. * " Gradus non mutat essentiam rei." The degree, \. e.,more or less, does not change the essence of a thing. t * ' Certitudo subjectiva est firmitas adhaesionis virtutis cpgnoscitiva; ad siuira c©gnoscil)ile." Subjective certainty is firmness of adhesion in the power knowing to the object known. " Objectiva est firma et invariabilis object! determinatio in suo esse." — (Bil- liiart.) Objective certainty is the firm and invariable determination of the ob- ject in being; or, its existence as actual, and, under that respect, both necessary an formal motive, as material object, etc. § ' ' nia dicuntur videri qrne per seipsa movent intellectum vel sensum ad sui cognitionem, ut sunt prima principia et conclusiones ex ipsis evidenter deduc- tae, vel sensibilia sensibus debite proposita."— (Billuart, De Fide; Disp. I; Art 4.) Those things are said to be seen which of themselves move the intellect 01 the sense to know them ; such are first principles and the conclusions evidently deduced from (hem, or sensible objects duly proposed to the senses. 70 LOGIC : SECOND PART. diaiely evident when they are known per se, t. e., are self-evi- dent. The objects of the senses and those of consciousness may also be regarded, when actually observed, as immediately evident to these cognoscive powers. Truths are mediately evident^ when the mind comes to the certain knowledge of them only through the medium of reasoning; or, when it knows them only as evident deductions from their principles. Evidence may also be considered as either intrifisic, or extrin- sic. It is intrinsic^ in self-evident truths, in the demonstrated conclusions from evident premises, and in the proper objects of the senses and consciousness. Evidence is (fJc/nVzj-/^: when it is not derived immediately from the object or truth, but passes through the medium of testimony, and is thereby indirect and and reflected light of the objective truth. Objects thus known are not said to be evident, but believed, or they are objects of faith. A preceding and evident judgment of their credibility gives just grounds from which is inferred, or may be in- ferred, the necessary truth of the objects in themselves. Hence, distinguish between what is evidently true, and what is only evidejitly credible; in the first, the object is evident; in the second, the object is obscure. A high degree o^ probability is sometimes termed moral cer tainty. ^wt probability and certainty differ in species or essence; and, therefore, in strictness, no degree of probability can equal real certainty; or, no number of probabilities can constitute certainty. The main theory of evidence and the certainty which is founded upon it may be briefly summed up as follows : Evidence, in its general sense, includes not only the capa- bility in the object of being seen, or clearly known, i. e., its cognoscibility ; but, also, the capability* in an agent of seeing it, together with the exhibition of the object to the mind, or the act of seeing it to be what it is, and that it cannot *"Evidcntia objecti est capacitas in objecto apparendi iiosti'o intellectui si eidem objiciatur; apparentia objecti in inteUectu est evidentia subjectiva." Objective evidence is the capability in the object of being seen bj^ the intellect if presented to it; the manifestation of the object in the intellect is subjective evi- dence. LOGIC : SECOND PAET. 71 be otherwise than it is seen. It is manifest, then, that evidenct inay be considered as both objective and subjective. The cognoscibility of the object, or objective evidence, pre- 6upposes objective certainty, and is caused by it. Hence, it may be said that objective certainty is the origin of objective evidence; objective evidence is the proximate cause of subjec- tive evidence, and the subjective evidence produces subjective certainty. Therefore, in the order of cause and effect, objec- .ia certainty is first, subjective certainty is last, and evidettce is the medium between them. Certainty^ when considered according to its objects, and the medium by which they produce certainty in the mind, is tneta- physical, physical or vioral. The three kinds of certainty thus denominated differ in their species or essence ; because their objects differ specifically. These kinds of certainty differ in species ; for, acts are specified by their objects, and the objects give determinate species not only to the acts, but to those things that are consequent upon acts, as the states produced by those acts. The acts of knowing metaphysical Xxw\S\, physi- cal \xw\\i, and ?pioral truth, have objective prmciples, which, it is clear, differ essentially; for the metaphysical is purely of intel- lect, the physical \m^\\QS the sensible, and the object of moral certainty is inevident, or essentially obscure. Hence, meta- physical, physical and moral certainty all differ specifically, be- cause their objects differ in species. In order to perceive the conclusiveness of the preceding reasoning, it is necessary to understand the force, and to see the truth of the philosophical axiom, " acts* are specified by their objects." It means about the same thing as saying, " effects derive their species or essence from their causes; or, effects depend for their species or essence on their causes ; or, effects really proceed from their causes;" which is evidently true. Now, regarding the act as an ar^ from matter, but only dependently on it. The torce of this reasoning will be still more clearly perceived, if it be borne in mind that we not only know an agent by its action, and know it only by its action; but its action is, in some proper sense of the words, the 7neasure of its essence ; "unumquodque agit in quantum est actu, i. e., in quantum forma actuatum ; " " every thing has action^ in proportion as it has actual essence T THE HUxMAN SOUL A SPIRITUAL OR IMMATERIAL SUBSTANCE. By similar reasoning it follows that since the acts of the human soul, intellection and volition, are wholly inorganic, for their objects are wholly immaterial, and the intellect and will elicit their acts alojie^ i. e., without any other second cause as a concurrent principle, the soul is therefore inimaterial; or, since the human soul operates /qc.o\'\\q's, actual, exclude each other as com- pletely as do those of the fi7iite and the Infinite. These things being true, it may be affirmed that, any theory which resolves all actual things into co-related forces, so as to ignore or deny the preceding distinctions, must be false ; for, it must, in some sense, identify beings which are totally and absolutely distinct, or make no distinction between beings which have nothing that is, in any nnivocal sense, common to them, and which are, therefore, totally distinct. The ambiguity of the term force, which is used one while to * ' ' Prius est esse quam ag-ere." " Nulla substantia creata potest fieri immedi- ate operativa." Existence is presupposed to operation. No created sub- Btance is immediately opei'ative; i. e., it must possess powers. LOGIC : SECOND PART. 125 express the degree of power exercised; another while for the concrete ag^nt itself; and then for what is purely phcnomeiial^ gives rise to much equivocal and fallacious reasoning. Not a few recent writers on philosophical subjects confound, and even identify, certain organic effects which precede or accompany ifitellectual thought^ with the action of the intellect itself; thus they perplex and darken for their readers some truths that are in themselves clear, w^ith language that is in reality either superficial or eccentric. Such authors will speak of the acts of fancy, or even those of the external senses, as if they were really intellectual operations. ARTICLE VI. MEMORY. Memory* is the power of recalling to the mind, recognizing and distinguishing things formerly known. The memory^ therefore, performs four principal functions : namely, retentioji of the object or idea; its reproduction^ with the help of the fancy ; its recognition^ and the distificiio?t of its time. There is a sensile or organic memory; and there is the intel- lectual memory. The sensile or organic memory recalls to the imaginationt objects of the senses formerly known through them, and recognizes them by means of the sensible conditions or properties with which they are invested. This memory, being purely organic, is possessed even by brutes; v. g., the dog recognizes his master ; the cattle return at the same time and to the same place for food ; and numberless other facts will readily occur, which put the the truth beyond a doubt. * ' ' Memoria prseteritoriun est : Sen est ipsa ratio prczteriti quam attendit me- moria." (S. Thorn. 1 p., qu. 78, art. 4.) Memory is of past things; or, it is precisely th.&past as such that memory regards. t " Imaginatio est qnasi thesanrns formariira per sensnm acceptarnm. (Siun. 1 p., qu. 78, art. 4.) The imagination is, as it were, a treasury of imiigea acquired through sensible power . 126 LOGIC : SECOND PAET. Since the seiisile memory is organic, it is subject to' all the contingencies of disease and decay, which, in the present order of Providence, are common to all living organs. The se/isik or organic memory, therefore, has for its object sensible facts, reproduced with some of their sensible conditions, and distinguished by their intentions, i. e., as pleasing, hurtfnl, etc. ; and known as past.* The action of the intellectual ??iemory has a higher order of cognition in it ; this faculty may be defined : the power of reproducing, and recognizing concepts or ideas and judgments formerly had. Memory may act sporitaneously ; or it may be made by the will to exert itself, and, along with the under- standing, or rather by means of it, to pass through interme- diate or associated ideas to ideas more remote. This exercise of the memory, in which the understanding is applied to various reproduced ideas in order to recall forgotten things by means of comparison and reasoning on their relation to something which is remembered, is called reminiscence. \ Such mode of remembering is proper only to ratio?ial beings. Why is it that among the ideas with which we are per- petually occupied, some are remembered; and others entirely vanish from the memory ? In memories which are in a normal state, the difference depends, in a great degree, upon the atten- tion; and on the association of ideas. The attention is the direction of the mind to an object to which it adheres for a time. The attention, in such case, is either spontaiieous, or voluntary and reflex. There is sponta- neous attention in all thought; even when the mind takes no reflex notice of its own operations. It is violently arrested, and long kept, by objects that are strange or marvelous; and often returns to them. * " Sensus (hominis) est deficiens qucedam participatio intellectus." (Sum. 1 p., qu. 77, art. 7.) Sensible power is a certain imperfect participation of intellect. t ' ' Reminiscentia est inqiiisitio alicujus, quod a memoria excidit; sen, memo- riae amissie instauratio ex aliquo interno principio, quod oblivione deletum non est. ' ' Reminiscence is seeking for something which has escaped from memory ; or, is the bringing back of a forgotten object, by means of some internal prin- ciple which is not lost in oblivion. logic: skcond part. 127 Attention is voluntary, when the will directs the mind to an object to which it adheres for a time; and this it does either by one, or many repeated acts. These repeated acts of the atten- tion, by which the powers of the mind are often directed to an object, constitute meditation* A good memory is susceptible, retentive and ready. Its sus- ceptibility much depends upon a happy constitution of mind and body. Retentiveness and readiness, depend in part upon the same cause ; but also upon that degree of attention which enables the understanding to form clear and distinct ideas of its objects. Prudent exercise of the memory greatly improves it in all these perfections. Habitual moral truth and the virtue of temperance are requisites for perfecting in it healthful and vigorous action. The association of ideas is also a great aid both for retentive- ness and readiness of me?nory. Ideas may be associated, or united, with other ideas which are distinctly remembered, by any circumstances of time, place, number, mode, quality, anal- ogy, resemblance; or even by any arbitrary law. But it is advisable, when it can be done, to associate truths in the mem- ory by some principle of logical connexion. In any of these cases, when one idea occurs to the mind, it readily recalls those that are associated with it. The correctness of intellectual acts, much depends on the fidelity of memory : and even the greater or less capacity of the intellect, indirectly proceeds, in no small degree, from greater or less perfection in the organic powers, sensile mem- ory and imagination,! owing to its peculiar dependence on these organs. The memory, though naturally it is so susceptible of direct * " Plurilnis intenhis, minor est ad singula sensus." If the mind be intent on many objects, its attention is less to single ones. ' * Meditatio est frequens et iterata mentis attentio olyecto voluntarie adhibita." Meditation is the exercise of frequent and repeated acts of attention in the mind, Toluntarily directed to an object. t ' ' Illi in quibus virtus imaginativa, memorativa, et cogitativaest melius dis- posita, sunt melius dispositi ad intelligendum." (Div. Thorn.) They in whom the internal senses, imagination, memory, and the cogitative power are best disposed, are best fitted to understand. 128 logic: second part. improvement, is often debilitated by disease, is impaired by indolence and sensuality, and it grows dull and feeble in old age. But, in its ordinary and normal state, it may 'be affirmed, First. That memory never deceives per se, i. e., of itself, or by its own efficient action. Second. // affords certainty as to the objects which it recalls and distinctly recognizes. The memory never deceives per se; for, either we distinctly remember the past thing, or we do not; if we do not distinctly remember it, no error is committed, provided we do not judge it to be different from what it is remembered to be 5 and we judge it only as it is remembered. It follows, then, that the memory, of itself, does not deceive, but that error in its case, as in all others, proceeds from the will urging the understand- ing to affirm precipitately or imprudendy more or less than the mind sees. But if we distinctly remember the past thing, w^e are perfectly sure of it, and are not deceived. This perfect and unerring certainty of memory is implied in all the important affairs of individual life and civil society ; it is implied also in all our reasoning; for, without memory, there could be no process of reasoning. Hence, it is false to affirm that memory can afford the mind only pjvbability; it gives per- fect certainty, as to the most important things. Who can doubt that he often heard of London, Paris, Rome, and that he re- members with perfect certainty numberless past things? Nay, we are as certain as to the objects of that faculty, as we are of those of external sense, or any other power, through which the understanding comes to know truth.* Memory will seldom prove to be even an occasion of error, provided we affirm pre- cisely, and only, what the memory recognizes in its comparative apprehension, and as it recognizes it. * ' ' Unusquisque judical prout affectus est. " " One judges according as he is affected. " Feeling and passion greatly influence the judgment, and they are frequently the cause of error. logic: second part. 129 ARTICLE VII. testimony;* doth it afford a means of philosophical certainty in some important matters. Fhilosophical certainty is the re^ex certainty which is derived from a critical examination or scrutiny of the motives and the principles that afford ordinary direct certainty, whether it rest on the evidence of the object, or on authority. Our senses enable us to know by experience only present ob- jects that express themselves in our minds through the organs. But objects not known through our own senses, and which are distant in time or place, we can know only through witnesses, or by faith in testimony. A witness is one who assures another of a fact or truth which he either knows of his own knowledge, or on due authority. An immediate^ or eye-ivitncss^ is one who testifies to a fact or object which he perceived in its own evidence to him; a medi- ate^ or, an ear-witness, is one who gives testimony of a fact ♦In the phraseology of the Legal Profession, or in our civil jurispruilence, the consistent testimony of asiitlicient number of competent witnesses, is said to furnish evidence to the court or jury, or to constitute evidence, of the fact to be proved; and in some connexions, the terms evidence and testimony, are employed by jurists as synonymous; v. g., "the witness gives evidence," and "the witness gives testimony," are expressions Avhich are frequently used by them, indiscriminatelj^ or as being identical in meaning. It is perfectly legitimate for lawyers, in order to secure simplicity, clearness and precision, to restrict or extend the application of terms employed by them in a technical, and, therefore, an arbitrary sense. ButitAvould be erroneous, and not scholarly, to found a philosophical explanation of evidence and testimony as motives of certainty, on this confined and special view of the subject, and this particular use of those terms in civil courts of justice; this is actually done, however, in some books of Logic. It is manifest that to treat the motives of certainty philosophically, greater scope must be given to their explanation. It should be based, it would also seem, on that signification of those terms which is atti'ibuted to them by prevailing use among the learned in general. The object or truth Avhich is evident to us, we see; that Mhich Ave know only by testimony, we believe, but do not see; for that which is seen, is evident, and, vice versa, that which is evident, is seen. This exemplifies the proper meaning of the words, according to approved general usage; as the observant reader will, doubtless, have noticed for himself. In fact, there is seldom a case actually occurring, in Avhich the testimony elicited before a civil court possesses all the requisites to constitute it a motive that furnishes philosophical certainty; or, in other words, the certainty which there suffices, because the best Avhich is practically attainable in juridical mat- ters, can rarely fulfill the requirements of philosophical certainty, which ex- cludes even the possibility oj error. 9 130 logic: second part. which he heard from others ; whether these others were them- selves immediate, or mediate witnesses. Proposition : The testimony of witnesses can furnish infalli- ble certainty in regard to sensible facts or events. The testimony of the witnesses for its credibility depends, first, upon their knowledge of the fact or event to which they testify; and, second, upon their veracity. Now, if we sup- pose the witnesses to be numerous; of different interests, habits, education, age, character, etc.; and that they unani- mously and constantly testify to the same substantial state- ment of the fact, such, v. g., as is the case with regard to the existence of such cities as Paris, London, Rome, etc., or any other public and notorious fact, to which many bear testimony: it is perfecdy evident that many persons, under the conditions thus described, can neither coiispii-e to deceive in regard to a sensible fact, nor could they themselves be deceived.* In regard to the facts or events in question, we should sup- pose that they are public, sensible, and striking or important. When the testimony of witnesses has all the preceding condi- tions verified, it vs, physically impossible for them to be deceived; and it is morally impossible for them to deceive ; or, assuming \\\Q physical d.x\6. 7no7'al\2,\vs>\\\ the case supposed, it is 7neta' physically impossible for their testimony to be false; i. e., it affords pJiilosophical certainty. If error or falsehood could originate from such testimony, it must be either because the witnesses are deceived themselves, or because they are not truthful, and deceive us; but neither can happen in a case such as that above supposed. For, we cannot even conceive the possibility of error or deception un- der such conditions without referring it to the Author of the physical and moral laws by which human nature is governed in its operations, and thereby compromising Divine wisdom * * ' Conditiones quae necessaviae sunt lit testimonium prjebeat certitudincm, Eunt pi-Eecipue haeti-es: 1. Ut sit circa factum possibile et seusibile; 2. Ut testes communiter sint pliires; 3. Ut evidenter appareat testes non esse in collusione." (Philos. passim.) The conditions requisite for the testimony of witnesses to furnisii certainty are chiefly these three: 1st, that it regard a fact which is pos- Bible, and sensible; 2d, that the witnesses ordinarily be numerous; 3d, that tbc witnesses be evidently not in collusion. logic: second pakt. 131 and Providence. Hence, it is evident on every side, that the testimony of witnesses can, and does, furnish unerring cer- tainty as to many sensible tacts or events. Against the truth thus proved it is sometimes objected, as in the following specious argument: "The testimony of one wit- ness to an extraordinary object affords only probability of its truth; therefore, the testimony of many witnesses gives only a sum of probabilities ; but no number of probabihties can pro- duce certainty, which is of a different species." Answer : the testimony of one witness, in se, or ifi i/self, is often both phy- sically aijd morally certain as to the witness himself; but, in case of a solitary witness to a fact, owing to special contingencies, which have no existence when the witnesses are many, his tes- timony to the certainty which he has himself cannot be ac- cepted as such by us. These extrinsic and special reasons or contingencies which afford cause for doubt or fear, are : ist, he may have deceived himself by haste, imprudence, or other cause ; 2d, he may intend to deceive us purposely. But these special grounds for apprehending deception are entirely removed when the witnesses, besides being ?iu)fierous, have the other con- ditions above specified ; for, the fulfillment of all these condi- tions entirely removes any and twQry possibility of deception. Hence, the testimony of many concurrent witnesses is not a sujn of probabilities, in the case supposed; there is the sum, if you choose, of as many physical and moral certaitities, as there are witnesses; but without any one of the special reasons for doubt, which we have when there is but a single witness. Yet, the truth, as such, in its objective entity, is as perfectly such in one eye-witness as it is in all; for the objective truth in such case is really o?ie, though seen by many. The fact that many see an eclipse of the sun at the same time does not multiply the truth in itself that there was an eclipse of the sun; the multiplicity and the diversity of the witnesses may and do take away extrinsic reasons for doubt, as regards persons who learn that fact on their authority. The assetit which the mind yields to the testimony of wit- nesses is faith or belief. 132 logic: sp:cond part. T\\Q dogmatic or doctrinal te^.ch'mgs of scientific men,* phil* osophers, etc., which depend upon the Hght of natural reason for their evidence, are worth no more than are the reasons or proofs which can be adduced for them. Hence, such authority of itself, or per se, does not always afford certainty, properly so-called. The judgments of mankind which are based upon good common sense, and which regard evident and practical mat- ters, are true; v. g., when those judgments regard first princi- ples, or the immediate deductions from them. These judg- ments, when constant and general, are a certain argument for truth; but they are by no means the general criterion of truth, as some authors have erroneously maintamed; nor are they an ultimate jnotive for certainty. It is obviously in accordance with the preceding doctrine that the documents and monuments of authentic history, under proper conditions, afford complete certainty as to the substance ot important facts of past times. ARTICLE VIII. SCIENTIFIC knowledge; in what it consists; the sci- ences; THEIR species, WITH THEIR CO-ORDINATION AND PRINCIPL.E OF UNITY. Knowledge^ in its general acceptation, includes every species of cognition, how perfect or imperfect soever it may be. But scientific knowledge, or science, is the evident and certaiii knowl- edge of a necessary tlmig by its proximate and real cause. The object of scientific knowledge is a 7iecessary thing in the sense, *" Alii sancti hoc tradiderunt, non quasi asserentes, sed sicut utentes his qu£e in philosophia didicerunt; unde non sunt majoris auctoritatis quam dicta philosophorum quos sequuntur, nisi in hoc quod sint ab omni iufidelitatis suspici- one separati." (Div. Thorn, in 2 sent. disp. 14, art. 2, ad. 1.) Other holy authors taught this, not as asserting it positively, but as using what they learned in philosophy; hence, they have no more authority than the sayings of the phil- osophers wliom they follow, unless in this that they are free from all suspicior »f infidelity. LOGIC : SECOND PART. 133 that it is a conclusion which necessarily follows from its pre- mises, or an effect which proceeds necessarily from its cause. We truly know a thing only when we know it in its principles, or cause; not the cause as a fact only; but the cause as pro- ducing it or giving to it its being or existence as an effect. Science has for its object, then, the ontological causes of things, their causce essendi. A demonstration* is a legitimate argument that gives an evi- dent truth which necessarily follows from evident premises : such conclusion is, therefore, scientific knowledge^ since it is an effect known to follow necessarily and immediately from the premises by which it is produced. But distinguish between the ontological order, and the logical order; or, the order in which effects are produced by their causes, and the order in which reason knows them, or learns them. In a priori arguments, we reason from cause to effect; that is, the argument proceeds in the ontological order; and in this case, the logical order agrees with the ontological order. In a posteriori recisoning, the ontological order is inverted, since we argue from effect to cause. When we conclude from effect to cause, and then reflexly see the effect as truly and neces- sarily produced by its cause, such knowledge of that effect is scientific ; for it is the knowledge of an effect as produced by Its proximate and true cause, i. e., its ontological cause, {causa essendi. ) When we say an effect necessarily follows from its cause, the necessity referred to is either that which arises absolutely from the essence of things; or that which is consequent upoji suppos- ing physical or moral laws, according to the nature of the matter which furnishes the premises and conclusion. T\\Q proxi/nate cause is that nearest cause which directly and immediately produces the effect; it is real, because it is distin- guished from an apparent, or accide?ital cause. * " Demonstratio ea est ratiociuatio qu£e scientiam eflicit: et scientia est de- monstrationis conclusio sen eff'ectus." Demonsti'ation is reasoning which pro duces scientific knowledge; the scientific knowledge, then, is the conclusion or the effect of demonstration. ' Scientia est syllogismus/aden* scire." 134 LOGIC : SECOND PART. A reasoning mind does not rest quiet in the mere facts ot experience, or in causes which are known merely as facts, or in remote causes; but it seeks to know why the thing is so, why it exists as seen : this it finally learns in its causa essendi, its dependence on its ontological or real and immediate cause ;* and this the inquiring mind seeks for in all the objects of cog- nition. Here it might be objected that a cause is extrinsic to its effect ; whereas, perfect knowledge should represent the intrijisic or , or eiid, is the cause why the agent produces thQ form in the matter; no further cause can be a9signed why the finis, or end,^ moves the agent or efficient cause. A collection or system .of demonstrated or scientific conclu- sions, regarding many objects of the same species, constitutes a science; v. g., the body of demonstrated conclusions in regard * ' ' Definitio est oratio explicans rei naturam. ' ' The definition is a discourse which explains the nature of a thing. * t ' • Forma est principium agendi in unoquoque. Seu iinuniquodque ageus agit per suam formam." The form is tlie principle of action in everything, or, every agent acts by virtue of its, form. X " Finis est prima et altlsslma causarura." The end is the first and the highest of causes. 136 logic: second part. to the stars and planets, constitutes the science of Astronomy ; and similarly for other classes of scientific objects. It is evident that the sciences have their species determined, and are to be classified, according to their objects ; or, it is their objects that specify them. But it would serve the uses of philosophy to coordinate them according to some clear law or principle of unity. Philosophers in all ages regarded the reducing of all sciences to unity as a matter of importance; though, in striving to ac- complish this object, they did not agree upon a principle of uni- fication Some sought for this principle of unity in the genera of objects; others looked for it in the powers of cognition; but they discovered no principle by which they could unify the sciences, without destroying their specific differences; they failed to make them one, and yet preserve their species. Some make a general classification of the sciences, accord- ing to the degree of abstraction which the intellect employs when contemplating and determining the objects of those sciences. There are three principal degrees of this abstrac- tion : ist, we may know se/nible objects, as such; as trees, crystals, animals, etc.; 2d, we may prescind from all sensible qualities, except quantity ; continuous quantity, as lines, sur- faces, etc.; or discrete quantity, as numbers ; 3d, we may ab- stract from all sensible conditions, and go to the super-sensible; V. g., to the essential prototypes of objects, to spirits, to God. These grades of abstraction correspond to physics, mathe- matics and metaphysics. The principle of unity is abstraction ; and the sciences are divided into classes by the different ^ proper object the most universal truths and principles. * The terms science and philosophy, arc employed by many popular Avriters in a vague and indeterminate sense, for whatever pertains to any species of superior learning. Even with not a few well educated authors, these words seem to have no fixed or precise signification, but are made to include a number of undefined and undistinguished generalities; by them, the terms appear to be used indiscriminately, so that all philosophy is science, and convei'sely, all science is philosophy. But the discerning student of philosophy will quickly discover for himself the fact that, among exact writers on these subjects, the distinction between science and philosophy , which is based on their Avholly distinct objects, is clearly made and is strictly maintained. As defined by their proper objects, philosophy seeks for the highest and the most universal causes of things; science has for its ob- ject, the necessary and proximate or immediate causes of things. Their objects are, therefore, determinate, and it is clear that they are specifically distinct kinds of knowledge. Hence, it is an inept use of language, and a confusion of things that should be kept distinct, to give the name philosophy to physics, or the collective branches of physical science which explain the causes of natural phenomena. The philo- sophical study of physical and material nature, is properly, and in accordance with long established usage, named cosmology, in a course of philosophy. It was believed that these remarks should be here made, in the interests of learners: since precision of language, correctness of cognitions, and accuracy of judgment, mutually aid each other in the work of mental discipline. APPENDIX. disputation; or practical exercise in reasoning. In many colleges and higher institutions of learning, the stu- dents of Logic and Metaphysics, or the class of Philosophy, have regularly some practical exercises in argumentation, last- ing for half an hour at a time, or longer, and occurring two or three times a week, and even oftener, when the class is suffi- ciendy numerous. These disputations usually begin soon after the class has reached the second part of Logic, or Logic Applied. So important is this practice judged to be by many instructors of youth, that, in a large number of well-couducted institutions of learning it is never dispensed with. The form or manner of conducting this useful exercise, which, in familiar language, is usually styled the " Circle," is here briefly described, for the information of those readers who are unacquainted with it. A day or more in advance of the exercise, one proposition, or even two propositions, the proofs of which may be gathered from what was already seen in the text book, or was ex- plained in class, are assigned to a student, to be proved and defended in class by him. In some cases several propositions are divided for this purpose between two students ; and occa- sionally the disputation takes place in presence of a select audience of educated persons, in addition to the class. Also, two or three other students are selected beforehand to prepare objections to be brought by them against the assigned theses. These objections are required to be brief, and in correct logical for?n; ioT, an objection which is not ifi logical fonn, is not 141 142 LOGIC : SECOND PAKT. regarded as legitimate in the "circle," and, therefore, care should be taken never to offer in argument a syllogism which is not in form. (See p. 60, at the end.) On the appointed day the exercise begins by one of the ob- jectors or opponents denying the proposition which he intends to assail, which is equivalent to asking for the proofs of it. The defender then enunciates the thesis or proposition, dis- tincdy, and somewhat deliberately. He may begin either by explaining briefly the precise meaning and scope of his thesis, or, if that be judged unnecessary for it, by stating his princi- pal argument in the form of a syllogism, or in any of the legitimate forms of argument which are recognized in Logic; though the simple categorical syllogism is generally preferable. In such case, his further proofs and explanations, in which he should have some latitude to dispense with strict syllogistic iorms, will generally regard the minor or second premise. In order not to perplex the attention with matters of only sec- ondary importance, it is a sufficiendy approved practice always to call the first premise of a regular syllogism the viajor^ and the second the jninor premise, without regard to its technical propriety. After the brief proof, or proofs by which the truth of his thesis is demonstrated, the objections against it immediately begin. In answering them he should suppress excitement or anxiety, avoid precipitancy, and strive to avail himself of the advice given to him who defends the truth, by the well-known axioms of the "circle;" "raro affirma, soepe nega, semper dis- tingue;" rarely affirm, often deny, always distinguish. A plausible objection to the truth, besides being in logical form ^ will generally contain both somethmg that is true, and some- thing that is false. The defender always begins his answer by repeating the argument of the adversary, just as it was stated by him; it is then repeated a second time, the answer being given to each proposition as soon as it is enunciated. In the solution of the objection, either some one, or more terms., will be distinguished, so as to grant what is true, and to deny what is falsely affirmed LOGIC : SECOND PART. 143 by them ; or else one or both premises will be denied. The objector, in his next argument, having in his preparation before- hand anticipated the answer given to his first objection, will be ready to bring an argument to prove what is denied ; and thus the contest may be continued at pleasure. Practice will speedily render the disputants skillful in finding arguments, extempora- neously, or "at the spur of the moment." Either the teacher, or some one else who is competent for the task, presides as moderator at these exercises, and sees both that the objections are rightly put, and that they are accurately and satisfactorily solved ; it is also his duty to see that the whole exercise is conducted with decorum, and that the dispu- tation be not uselessly or unduly protracted. When both parties prepare diligently beforehand for their contest, it is found by experience that the " circle " always proves to be both a highly interesting exercise for advanced students, and a profitable one. An example will help to render the fonn of conducting this exercise more clear to the mind : suppose the thesis to be de- fended is the following ; " The external senses furnish to the mind an unerring motive of certainty, as to their proper ob- jects." The defender might here first explain the scope and mean- ing of the thesis; v. g., ist, that it supposes the senses to be in a healthful or normal state; 2d, he might mention some conditions to be complied with for prudently using the senses ; 3d, he might distinguish between inducing error, /°r accidens proiu'ie non generantur, nee corrumpuntur , nee sunt Bimpliciter, sed secundum quid. ' ' Effects per accidens, are not, proi)erly speak- ing, produced, nor destroyed, nor do they simply exist, but only under a certain i-espect. X " Finis est potissimum in unoquoque; i. e., finis est id quod principaliter intenditur in unoquoque." The end is chief in every thing; i. e., the end is What is principally intended in every thing. § ' ' Nikil volitum nisi prsecognitum. ' ' Nothing is wished, unless first known GENERAL METAPHYSICS. 205 of their nature, by whom // is determined for them. The end or the final cause is the first of the four to act, and it causes the others to concur and to execute, the efficient cause being the second to operate. The end is the first"^ in the intention; but it is the last in the execution ; i. e., it is the efifect intended, and the effect intended is the end which is last attained, and in which all rest. The end, when considered as to the different relations it may have to the intention, \s proximate or remote; mediate or imme- diate; and ultimate or not ultimate. These opposite relations will be easily understood, if it be borne in mind, that an end may be desired either for its ow?i sake ; or, on account of some- thing else, that is desired; in the first case, it is strictly and properly an end ; in the second, it is really a means to an end. As the will by its own spontaneous natural action can wish good only, since good, as such, is its essential object ; it is not free to wish evil, as such ; or, in other words, by its nature it is necessarily determined to desire good; and, as regards the de- sire of this good in general, it is not free, but obeys the neces- sary law of its nature.t Hence, it is evident that this good as absolute, or good in ge/ieral, is strictly an ultimate end, which is presupposed to all other ends, which can be intended or desired by the will. These truths being understood, it will be easy to perceive the consequent truth, that there can be no choice or election as to this ultimate end, since the will is pre- determined to it by the necessary law of its nature as a power of appetitio:!. The will is physically unable to love evil for itself or as evil; it can love evil only when apprehended and presented to it, as good, under some respect. In respect to this ultimate end, all other ends are mediate, or have the nature of means in reference to it. In regard to certain intermediate ends, the will can dehberate, suspend or change. Hence, man's responsibility for his actions depends upon the use he makes * " Primura in intentione, est ultimum in executione." What is first itt the intention, is hist in the exectition. t " Minus mahim, est iiliquod bonum. ' ' Less evil, is some good. ' Muhim sub riitione boni, potest tieri objectum volitionis." Evil, undei the respect of good, can be the object of volition. 206 GENERAL METAPHYSICS. of his power freely to choose the mearis of good; and he becomes morally good, or bad, accordirg as there is, or is not, real rectitude in his intention as regards those means which he employs for the attainment of this good. Hence, the obligation arises also for him to know what is good, and what is evil, in all the objects thus subject to election or choice. Distinguish between the e?id of the act or work, and the e?id intended, or the good to be gained by the work. Distinguish, also, between the end which necessitates action in the will, and the end which it can freely elect or choose. It is good which causes, as an end ; but its apprehension is. an in- dispensable co7idition.* ARTICLE III. MATERIAL CAUSE; FORMAL CAUSE. As the terms, matter and fortn, material cause and formal cause, are much used in philosophy, law and ethics, for the most subtle, as well as for the most important distinctions, it is necessary that they should be clearly understood. For this object, it is deemed useful briefly to state in this place the philosophical theory that gives origin and meaning to these terms. According to the Aristotelian ox peripatetic philosophy, which has had much to do in moulding both the thougl\t and the higher language of all civilized nations, material substance, of which the earth is made, consists essentially of two principles, matter and farm. Matter^ without the form, could have no determinate existence at all; it would be a mere potentiality for actual existence; but could not, as such, really exist. The form, which is the principle of activity, and of all specific fiature or essence, unites by composition with matter, and actu- ates it into real existence ; and, at the same time, gives to it * " Bomim ut apprehonsiim est objectum appetitus." Good as apprehended is the object of appetition. GENERAL METAPHYSICS. 207 its determined dA\^ specific essence; i. e., makes, by union with it, material substance.* At the beginning of the world matter and form- were con- created; i. e., passed from their causes into existence at the same time. Taken separately, they are both incomplete being; they are for each other, and, when they have the essential conditions for actual existence, they necessarily unite ; and, being united, they remain in union, unless separated by force. Some forms are more deeply radicated in matter than others are. Matter, as such, therefore, has no species; it is i\\Q form that determines species, and constitutes it such. Hence, since there exist many species of inaterial substance, there must be many species oi forms, that are actually existing. To under- stand this, it must be observed that, when the world was first created, material substance was diversified with many species or forms, and made to possess within itself at the same time many other \orn\s potefitially ,\ which may be educed from it by a competent efficient cause. Matter, therefore, is the subject in which are contained /^/^/z- tially,\ like an effect is precontained in its actually existing cause, many substantial forms, which may be educed from it by an efficient cause; and these forms that are educed from the mat- ter, where they existed potetitially, take the place of, or displace actual forms; which actual forms are not thereby simply anni- hilated, but are re-immersed in the matter, or they revert to the state of potential being, in matter. The vital principle in organic beings, is a substantial form; V. g., the vegetative princ'ple in plants, the brute soul, atiima * ' ' Materia, quatenus est primum subjectiim, est una et eadem in omnibus rebus." (Suarez Metaph.) MaUer as the first subject in material substance, is one and the same in all things. t ' ' Materia est infinita in potentia ad formas. ' ' (Summ. I p. , qu. 7, art. 2.) Matter is infinitely capable of receiving its forms. J ' ' Esse in potentia, hie non est ea mera possibilitas, qms est potentia ohjectiva ; Bed esse in potentia involvit subjection aliquod reale, cujus sinn res sit contenta, qute dicitnr esse in potentia." To exist poteiitiallij, is not that mere possibility, which is only objective, (exists only in the concept of it) ; but to be potentially, involves a real subject, in which it is actually contained. 208 GENERAL METAPHYSICS^ belluina in brutes, or animals of every species, man excepted, are substantial forms educed fro?n n'lafter: as also the principle that gives to crystals their specific nature, is substantial form. They return to matter, or are re-immersed in it, when dissolu- tion, or death takes place. This eduction of new forms from matter, and the re-immersion of old ones into it, always sup- pose the agency of an efficient cause. Since the operations of the brute soul, a?iima belluifia, are purely orgastic * brute actions do not transcend the power of purely material substance ; and, therefore, they are entirely from matter, and wholly for matter ; and hence, brute souls cannot exist separate from matter. But the actions of intel- ligence and volition in the human soul, are from a principle that is not organic; they are inorganic or entirely super'Sensible\ in their species, or transcend the powers of material nature; and, therefore, the substance that possesses intellect and will, is essentially and specifically immaterial. Hence, though the human soul does inform or actuate matter by entering into composition with it, yet it is not educed f-om matter, and at death by dissolution, it is not re-immersed into matter ; but it is a substantial form that can and does exist separate from matter, or, then exists /Q finished, nor that which cannot h^ finished, can become infinite. * ' 'Ad discursum intellectualem propriiim, et formalem, requiritur quodunum cognoscatur ex alio; id est, quod ex alio prius noto deveniatur in cognitionera alterius posteriusiioti quod erat prius iguotum; sicquequod una prior eognitio sit causa posterioris, sive quod ex priori unius cognitioue pariatur coguitio alte- rius, prajcedatque prior eognitio posteriorem, si non in tempore, saltern natura et causalitate." (Billuart de Angelis, Tract. 3, art. 3, sect. 3.) For discourse of reason, properly and formally such, it is required that one thing should be known from another; i. e., from one thing previously known we com^ to the knowledge of another thing afterwards known, but Avhich was previously un- known; and thus that a prior cognition is the cause of an after one, or that from the prior knowledge of one thing is born the knowledge of another, and that the prior cognition precede the posterior one, if not in time, at least by nature and causality. 214 GENERAL METAPHYSICS. The philosophers, who teach that the human mind has natu- rally a more or less immediate intuition of God, deny the possi- bility of knowing the infinite through the finite. The chief reason a priori which. they allege for this impossi- bility of concluding the infinite from the finite, is that " the conclusion cannot be greater than the premises from which it follows as a consequent." But their proof of the hypothesis that the human mind natu- rally has an immediate intuition of God, seems to rest mainly on two erroneous arguments : ist, the misapplication of a canon of logic; 2d, a misconception of the fact of actual experience. They argue, that since the idea of an infinite being cannot be derived a posteriori, for the conclusion cannot exceed the pre- mises, therefore, because as a fact, we have that notion, we must have it as an a priori intuition. But the canon of logic referred to, forbids a greater exten- sion as to quantity in the conclusion than was in the premises ; but not greater comprehensio7i. If the prohibition held true of both, then there could be no reasoning at all from truth known, to truth unknown. Since the conclusion attributes to a subject a predicate which is .not attributed in the premises, the subject of the conclusion has greater compreheiision in the conclusion, than it had in the premises, especially when the predicate affirms perfection, or denies imperfection. Also, when we reason a posteriori, or from effect to cause, the eftect may have been either virtually, or formally precon- tained in the cause ; in the case in which we reason from an effect to its equivocal, or super-eminent cause, we pass from what is inferior in species, to what is enmiently superior in species ; v. g., when we reason from the house to the architect, from the painting X.0 the artist, which is legitimate reasoning, we always conclude from an inferior to a superior species of being. Hence, conclusion from t\\e finite to the infinite, as its stiper- eminent c^wsQ, gives a conclusion oi grediitr comprehension, though of less logical extension, than the premises explicitly and directly expressed, but yet, it is both consequent and legitimate illation. It is to be assumed that no sane philosopher denies that the GENERAL METAPHYSICS. 215 human mind, as a fact, does reason a posteriori, or from effect to cause, by means of the real relation between cause and effect. There is no object of cognition which the mind perceives with more facility, or which is more connatural to human in- tellect, than the real relation of cause and effect. Evidences of dependence lead us daily to refer numberless effects to their causes, and this we have done from the earliest exercise of reason. In the same manner, the mind can see evidences in the visible world around us, of its dependent and contingent existence ; and, as the idea of limitation or finiteness is most simple, its object being so immediate and so obvious to the mind, it is clearly within the powers of human reason, to prove to itself the finiteness of the visible world, in the same manner in which it proves any object to be limited or finite. Hence, the mind of man, by its native power of reasoning, and without any intuition of God, can argue from what it knows and sees for itself: "There is ro effect* which is not produced by a sufficient cause ; the visible world is an effect, and, therefore, the visible world is produced by an adequate cause." The intellect, then, is naturally competent to perceive by its own light, both that the visible world vs, finite, and that it is an effect ; for it is mutable, therefore, contingent, and, conse- quently, may lose or acquire being, which are distinctive marks of the finite. It may ask itself, what is a "sufficient cause" for such an effect. Reason would lead the mind to attribute to that " sufficient cause " t perfections pre-eminently superior to those of the *"Nondatur effectus sine causa: nihil est quod rationem sufficientem cur sit non habeat; haecaxiomatanonconfnndendasunt. Juxtaprimum, nihil ellici- tur sine causa; juxta secundum, nihil est, sen existit sine ratione sufticiente: pri- muin non pertinet ad Deum, cum Deus non habeat causam; secundum pertinet ad Deum, cum sit ratio sufliciens cur debeat admitti quod Deus existit." There is not given an effect without a cause; there is nothing which has not a sufficient reason why it exists; these axioms should not be confounded. By the lirst, no- thing is effected without a cause; by the second, nothing is, or exists without a a sufficient reason: the first does not apply to God, since God has no cause; the second does pertain to God, since the^e must be a sufficient reason why it ought to be admitted that God exists. t " Si objiciatur, 'effectus tinitos, quales sunt cx-eaturse, non exigere causam '.nflnitam;' id conceditur deeorum Ciiusa secundaria, sed non de causa primaria. 216 GENERAL METAPHYSICS. effect argued from; v. ^.^ priority to all other causes, therefore, existence a se, and the infinite perfections of all kinds, which flow logically from admitting d. first cause that is indepe)ident or absolute. The very words, infinite^ immense, and all the names of God which are negative in form, indicate the natural process by which the human mind forms its concept of absolute perfec- tion, as expressed in the very structure of language ; for, the negative names of God, show that the positive, out of wdiich they are formed, was presupposed as affirming the finite prem- ises of which they express the conclusion. Suarez* observes the fact that, " in all things pertaining to God, it is more difficult to know the manner in which they are in him, than it is to know the manner in which they cannot be in him; " i. e., it is easier to know what God is not, than i-t is to know what he is. This is the reason why it not unfrequently happens that negative terms are employed to enunciate the divine perfections. The accepted significance of these negative names, shows also, that the concepts for which they stand, were formed in the mind by the removing of imperfection, and the consequent additio7i of perfection. This concept of infiiiite perfection in God, as the first cause, we actually make more and more com- prehensive by study, reflexion, and meditation, as we grow in years. As a matter of experience, we have not that primitive intui- tion of the infinite, or immediate intuition of God. Had the human mind naturally any such intuition of ens creans existefitias, as the first great thought, which is the foun- dation of all other thoughts, it should have, it would seem, its own proper name in every language, which would be known to quae sit omnium causa a nulla causata ; hanc enim esse infinitaninecesse est." Distinguish the effects in visible nature as proceeding/rom second causes, from that respect of them which exacts for them, moreover, a Jirst and unproduced cause. No effect absolutely depends on a second cause, for the second cause is itself dependent on the first cause. * " In omnibus divinis rebus, difllcilius est cognoscere quomodo sint, quam quoraodo nou sint. " (Suarez, 2 opuscul, l]b . 1, cap. 8.) GENERAL METAPHYSICS. 217 all, and understood by all; for it would necessarily and most distinctly be seen as constituting the basis of all human thought, of perception, judgment and reasoning. But, as a fact, it has no such name^ commonly recognized as pertaining to it, in languages, and it fulfills no such function in human thought ; on the contrary, the terms employed to enunciate it, which are not agreed upon, even in philosophy, offer to us an hypothesis which is obscure and difficult to be comprehended, because not only it does not declare, but it even contradicts, the facts of experience. Whatever may be the best philosophical explanation, the fact of experie7ice is, that the progress of the mind is from the singular and concrete objects that through the senses determine its action, to the intelligible^ expressed to it by the idea or con- cept; from the indeterminate idea of essence* and being in general to the indefinitely great; and, by re??iotion of all limit, and the addition of all positive perfection, to the infinite, or to absolute being, as the only sufficient cause of all else. Hence, to affirm that the human mind cannot naturally infer the infinite from ih^ finite, is not logically cori'ect; and to affirm that the human mind has naturally and originally the immediate intuition of God, or, of absolute beitig, or, ens creans existetitias, is not true as a matter of fact. In the conclusion of a syllogism, the terms may have more cojnprehensio7i, or their concepts include more essential perfec- tion, than they expressed in the premises. The infnite, as a conclusion from the fijiite, expresses less logical extension, but more compreheiision, ox pe7fection, than is explicitly in the prem- ises: for, whether the predicate attribute something positive, or deny some imperfection, the conclusion is the synthesis of a subject and predicate not made in the premises ; and its sub- * ' * Intellectus noster ; dura de potentia in actiun reducitar, pertingit prius ad cognitionem imiversalem et confusam de rebus quam ad propriam et specialem rerum cogiiitionem : sed perfectus modus cognoscendi, non prius attingit uni- versal em quam specialem cognitionem. ' ' (Vide Div. Thom. , 1 p. , qu. 14, art. 6.) Cm' intellect, when it goes into action, attains to a imiversal and confused knowledge of things before it does to proper and special knowledge; but the perfect method of knowing does not first attain to universal, and then to special cognition. 218 GENERAL METAPHYSICS. ject is thereby increased in comprehension. The absolute infinite is not such by extension; i. e.,by continuous or discrete or logical qua?iiity ; but it is such by compreJmision of all per- fection. A desire to effect a unification of knowledge, or a coordina tion of all cognitions, by a simple principle, has led many t(' adopt a theory that identifies the o?itological and the psycho logical orders; but, as a fact, they are not identical in th<; actual* nature of things; i. e., the order of our cognitions i;- not from the first Being, to the works of that being; but it v.^ naturally just in the reverse order ; that is, it proceeds fron his works to Him. The argument by which the existence of absolutely perfeci and real bei?ig, entis realissimi, is claimed to be validly deducec from the idea of such a being, involves a double middle term V. g., "he that has a true idea of absolutely perfect and rea being, thereby knows that being to exist ; but there is in ever; mind, which comprehends the expression, absolutely perfect am real beings the true idea of such a being; therefore, from thi very idea of such a being, it follows that the mind may an( 1 does know it as really existing." The phrase, '-true idea," is here ambiguous; and, in fact, i. has two objects in the premises ;* in the first, or in one mint" the idea^ it must be supposed, formally connotes its object a actual or real; in the second, or in the other mind, it legiti mately expresses only the concept of an intelligible object^ \\ which actual existence is neither affirmed nor denied; i. e., i exists in the second mind only objectively^ as it is termed; oi for one mind, the existence is real ; in the other, it is idea. only : it needs not to be said that, if the existence of the ob ject were merely ideal in both minds, then the argumen would be simply nugatory. * " Ex hoc (ex idea Entis quo majus et melius cogitari nequit) , non sequitu quod intelligat, id quod signilicatur per hoc noraen, esseinreru7n natura, seu ut dicunt, existere in actu exercito; sed existere dumtaxat in apprehensione intel lectus, seu, ut dicunt, in actu signato." (Billuart, 1 p., qu. 1, art. 1.) Fron this idea it does not follow that the intellect perceives its object as real, or a actually existing; but it exists only in the apprehension of the intellect, or onb in its sign, the concept. GENERAL METAPHYSICS. 219 Since the conclusion must follow the weaker part of the argument, it can affirm nothing more, in this case, than the concept of an intelligible object, whose objective truths or esse in reriim natura, actual being, remains to be proved. Illation from the />ure/y idea/, as such, to the /'ea/, is not valid; if it were, then any absurdity could be logically demonstrated a priori, or from the idea of it, to be truth. An object in the mind is purely ideal, when the notion of it Vv'hich the mind has is merely a concept of what is not known by it as real; the mind acquires this idea by simply appre- hending the term or terms by which the object is expressed in language, and its idea is, therefore, not derived from the object, as it is in itself really and extrinsically to the intellect, whether by means of evidence or testimony. If, in the syllogism given above, we suppose the idea to con- note the object as in acta exercito, or real in each mind, then, considered as reasoning, the argumoit is still more absurd; for, it is a vicious circle in which the same thing, though assumed to be self-evidejit, is proved by itself as reason, idem per idem, and it would be equivalent to this : " He that knows God to exist, knows God to exist; but Peter knows God to exist, therefore, Peter knows God to exist." In fact, truth which is intuitively evident, neither requires nor admits proof; nor, therefore, can it be directly subject to rational discussion. " But," it is further said, " he that has the idea of absolutely perfect being, in which the existence, in acta exercito, actual existence, of such a being, is not affirmed, but it is included only, in actu sig?iato, i. e., only ideally, has a false idea; and thus the mind would err per se^ The idea in the case supposed, would be false hy privation, or negatively; but it would not be {dXsQ positively; therefore, the mind would not err perse; for, it would simply be ignorant of a truth which is not yet mani- fested to it by the evidence of that truth ; this would be igno- ratice, but not error. From this it would merely follow that the existence of God is not, as regards us, per se known, or self-evident, but requires proof The old philosophers acutely and precisely enunciate the 220 GENEPwAL METAPHYSICS. distinction between that necessity of actual existence, as it is ir* absolutely perfect being, in ente realissimo, i. e., in God ; and as it actually is in relation to our intellects or our cognition of it, in the following terms : " propositio, Deus est, per se nota est quoad se, sed non quoad nos; "* the proposition, God exists, is per se known, as regards itself, but not as regards us. A proposition \s per se known as regards itself, but not per se known as regards us, when it has no medium of proof a priori, nor is its truth directly and immediately evident to us on first apprehending the terms. Such proposition is also said to be immediate, in the sense that its predicate is immediately of the subject, or there is no medium between it and the subject, through which it agrees with the subject ; but the predicate is included in the very nature of the subject, as its definition, or as a part of its definition. In case, however, that it is not self- evident to us, or per se known as regards us, the essence or quiddity of the object does not become known to us, by the mere first apprehension of the terms that enunciate it; but it must be demonstrated to us by means of something extrinsic to it, which is better known to us. // evidences itself, though our minds are not capable of i?n?nediately and directly receiving that evidence, but it must be conveyed to them through a medium which is extrinsic and a posteriori by which this evi- dence is. in some respect, reflected upon our minds. That which \s per se known, as regards us, or is self-evident * " Propositio, Deus est, est per senota quoad se, sed nonquoad nos: ilia pro- positio non est per se nota quoad nos, in qua quidditas subjecti ex prima et com- muni appreheusione termiuornm nobis non innotescit, sed indiget discursu ut nobis inuotescat, quia tunc non potest statira nobis innotescere an prxdicatum conveniat subjecto ; atqui quidditas Dei nobis non notescit nisi per discursum. ' ' (Billuart 1 p, qu. 1, art. I; vide page 139.) ' ' Cum ergo propositio per se nota et immediata idem sint, dubitari nou potest quin niulta sint per se nota in se, qua? non sunt per se nota nobis. . . Sunt quajdam veritates in se immediatas; i. e., sine ullo medio inter praedicatum et subjectum, quas non nisi per aliquod medium (extrinsecuni) intelligere vale- mns: v. g., quantitas est entitas accidental is." (Suarez Met. Disp. 29, set. 3, no. 32.) Since a proposition which is per se known, and a proposition which is immediate, are the same thing, it cannot be doubted that tliere are many things per se known, as regards themselves, but which are not per se known as regards us; there are certain truths which are immediate in themselves, i. e., without .iny medium between the subject and the predicate, which we are not able to understand unless through some medium; v. g., quantity is accidental entity GENERAL METAPHYSICS. 221 to us, is seen and assented to by our minds, on first appre- hending the terms, and without any reasoning, whether a priori or a posteriori; v. g., "A whole is greater than its part." But while the proposition which is per se known as regards itself but not as regards us, possesses, in itself, the most perfect of all objective evidence^ and the most absolutely necessary truth, in itself; yet, our imperfect intellects do not attain to it imme- diately, but do so only by reflex knowledge from other things, which are connected with it logically. Of this kind is the pro- position, "God exists;" and of this kind, also, are many of the highest and most universal truths, as remarked in respect to the proper object of wisdom or philosophy, on page 139. Hence, to sum up what was said in regard to the argument by which the existence of God is claimed to be proved from the mere idea of absolutely perfect being, cfitis realissimi; either this idea connotes its object as actually existing, i7i actu exercito, or it does not ; if it does, the argument in proof of it is useless, and is nothing more than a vicious circle. If the idea does not thus connote the object in both minds, then either it thus connotes the object in neither, or in one mind only ; in the first case, the argument is simply nugatory ; in the second, it is merely an equivocation, as is every argument which concludes from the ideal, as such, to the real. The existe?ice of absolutely perfect being, or of the infinite, must be learned otherwise than from the 7nere idea of it, or by the equally preposterous argument from the possibility of such a being; and, in fact, it is strictly demonstrable only a posteriori, or by reasoning from effect to cause.* The existence of absolutely perfect, ?iecessary or infi?iite being, cannot be demon- strated a priori; for, there is no principle prior to such being from which it comes, it being the first of all principles. All the demonstrative proofs of God's existence by natural reason are a posteriori ;* and they are all reducible to the argu- * " Deum esse est demonstrabile non a priori, seu per causas, sed a posteriori Beu per effectus: prima demonstratio dicitur propter quid; secunda, demonstratio quia. (Philos. passim.) The existence of God is not demonstrable a priori, 01 throiigli causes, but a posteriori, or by eSfects; the first, is called demonstration propter quid; the second, demonstration quia. 222 GENERAL METAPHYSICS. ment for the necessity of a first and independent cause. The proof derived from 7notio?t, the argument for the necessity of unproduced beings for absolute bei?ig, etc., are, in reahty, but dif- ferent modes of showing the necessity of a first cause that ex- ists a se. ARTICLE V. NECESSARY AND CONTINGENT BEING; OF ORDER; IT CAN BE INTENDED BY NONE BUT AN INTELLIGENT BEING. A thing is absolutely necessary* whose non-existence is in- trinsically impossible ; a thing is co?itingent, whose non-exist- ence is possible. God alone is absolutely necessary, in the strictest sense of the words; all other necessary being or truth, the eternal essences of things, metaphysical truth, as, v. g., "a part is less than the whole," etc., must be conceived as, in some manner, driving their necessity, or depending for it on a presupposed Being whose necessity is still more strictly abso- lute, as it is under all respects underived and independent ; and, therefore, their necessity, immutability, etc., are less stricdy absolute. The necessity which is predicated of them is by some appropriately styled, metaphysical necessity. Hence, metaphysical necessity belongs to objects, which, in their very nature, could not be otherwise than they are ; v. g., the triangle) the circle; or necessary truths in general. It is an- tecedently and absolutely required that, if they really exist, they be conformable to their essential concept; but their actual ex- istence as real things, "in rerum natura," is co?iti?igent ; i. e., depends on a free cause. Physical 7tecessity, is that which is cottsequent upon physical law; and is, therefore, conti7igent 2\^o^ in some respect; v. g., * " Necessarium est quod ita existit ut deficeve non possit. Contingens est quod pote.st esse et non esse. ' ' A thing is neccsf.ary, which so exists that it can- not cease to exist. A thing is contingent, VA'hich so exists that it can ceaf o to exist. GENERAL METAPHYSICS. 223 it is physically necessary that fire burn, that the sun rise to- morrow, if the stabiUty of their physical laws be not suspended oy Divine intervention. It is a physical fact that the sun rose yesterday morning ; and, as it now has consequent necessity, and is no longer actually contingent being, the truth of that fact is really metaphysical, under this respect of it. Absolutely necessary being, can neither have abeginnmgnor an end. For, what begins to exist, depends upon some condi- tion for its existence ; and, therefore, its being was not abso- lutely necessary) and also, if it cease to exist, its being is not absolutely necessary either; for, what comes to an end, could have only conditional or dependent being. Hence, being that is absolutely necessary, cannot be conceived as actually in a state of possibility, and it is, therefore, eternal. But all contin- gent being was in a state of possibility before it began to exist. Necessity is either a?itecedent or co?tsequent; v. g., it is antece- dent necessity for every circle to be round ; every rectilinear tri- angle to have three angles, whose sum is equal to the sum of two right angles ; it is consequent necessity that the sun rose this morning, and, under another respect, it is also necessary that it will rise to-morrow; the necessity, in the latter case, is conse- quent upon the hypothesis that the law of the world's motion will not be changed before that time. The circle and triajigle are contifigent, in respect to their actually existing, as real beings. No contingent being can exist, unless brought into existence by some cause, i. e., some being distinct from itself. The effi- cient cause of its beginning to exist, must be extrinsic to itself; for, if the sufficient reason of its existence were within itself, or intrinsic to it, then its existence would not be coritijigent, but absolutely necessary \ or, in other words, the supposition can be made only of unproduced being. A thing may \)Q produced m two ways: ist, by c?'eation from nothing;* 2d, by being formed or made put of something else. ♦ " Creatio est rei prorluctio ex uihilo *'?«, et subjecti." Creation is the pro- duction of a thing from nothing absolutely; i. e., from nothing that is presup- posed as subject matter out of which it is formed, or educed. 224 GENERAL METAPHYSICS. A being is made or produced out of something else, when it is made by the efficient cause, out of some subject matter which is extrinsic to the cause; v. g., an oak produces another oak ; an architect builds a house, etc. A being may be destroyed also in two ways : ist, by ajinihi- latioft or absolute reduction to nothing; and 2^^ by dissolution into the elements out of which it is made, by which the whole, as such, perishes. Simple substance, or a being that does not consist of parts, and that exists per se, i. e., alone, or not as inhering, cannot be produced out of pre-existing substance. For, by reason of its simple essence, it cannot be formed out of pre-existing parts, since parts are incompatible with its simple nature ; it cannot be produced from material substance ; for that would not be its production, since its existence per se in that substance must be presupposed to its eduction from it ; and in which, not being an accident, it did not inhere ; and on which, not being a constituent part, it did not depend for being. Finally, it can- not be educed from another si?7iple substafice; for since a simple substance is not compounded, it cannot separate a substantial part from itself. Hence, simple substance that exists per se, can begin to exist only by creation from nothing. Order* is a perfection, by which multitude is reduced to complete unity ; it so disposes of its hke and unlike constit- uents, that each has its appropriate place in respect both to the parts and to the whole. When the proportion of relations, on which order is founded, is perfect, according to the specific nature of the object thereby formed; then that object is, under different respects, perfect, good, or beautiful in its own species. Order is referable to the relations of time, place, material substance; to things moral, social, and intelligible; and, in general, to any object in which we conceive relations of parts among themselves, and to the whole. *"Ordo pariiira dispariumque, sua cuique loca tribuens dispositio." (S. August.) Order is the dispositiou oflike and uulike things, giving to each ita oroper place. " Compositio rerum aptis et deterrainatis locis." (Cicero.) Order is the nrraagemeut of things in apt and determinate places. GENERAL METAPHYSICS. 225 Any order in action, proves the author of it to be mtelHgent; because th'e intention and production of it require the exercise ol judgment. By the order in men's actions and conversation we perceive daily the evidences of judgment exercised by them ; of e7ids dehberately intended^ and of means compared, selected, and coordinated for their accomplishment. To mte?td, is properly an act of the will ; it is an efficacious desire of an end, which is, therefore, formally sought for by appropriate means ; or, it is an act by which the mind tends to an end wished for. The selection and arrangement of the means to that end, require practical judgment. The ape can warm himself at the fire which is made for him ; the dog can mount upon the chair that is already near the window, and thence jump to the window ; but neither can the one select means to keep the fire alive ; nor can the other combine separated and absent objects, so as to put them in the relation to each other of stiles ; for both acts would require a comparison of abstract and concrete relations; i. e., judgment. Instinct deals with certain actually established and conci'eie relations of things, and when those relations cease to exist, or are essentially changed, it is pow^erless to devise entirely differ- ent means from its determined ones, or to combine and employ a new species of means. To select and combine means, to establish new relations, to devise means to an end which were not employed before, are acts of judgment that are proper only to rational natures. Hence, order or design gives complete evidence that its proper cause was an mtelligent agent. There is order also in the works of the beaver, the bee, etc.; but they give no evidence whatever of intending it, which is an act of intelligence ; or that they exercise judgment in the selec- tion and use of the means. Cognition which is purely of sense, or organic, and limited to singular objects, and concrete relations ; action, which, in respect to the production of order, as such, is merely mechan* ical; fully explain their causality, and are all that can be attri- buted to. them as agents. The intelligence and judgment, 15 226 GENERAL METAPHYSICS. clearly discernible in their work, we must refer, through the law of their nature, to the author of that nature. They can accomplish an end determined for them, by determined means;* but they cannot substitute means of different species ; or, as their action is determined to one thing by natural law, they can- not seled another end, or other means, equally good, or better, but must, circumstances being the same, always do the same thing, in tTie same specific manner and degree, and by the same means; for they can know only the sifigular, and can appre- hend and retain only concrete relations ; they are not capab'ie of transmitting improvement as a species, are not perfectible, either in their knowledge, or their mode of action. " Determinatum\ ad unum^'' means limited or deternwied to one mode of acting, without any real choice or rational empire over the agent's own action ; when the object is actually pre- sented, it cannot remain really indifferent as to action or non- action, or be free to choose the object, or choose the contrary, but is necessitated by the object to do what it does. There is, indeed, order in the action of all natural agents ; * " Cognitio et appetitio animcz rationalis, sunt illimitatae ; dum, e contra, ma/eria determinata est ad unum; anima autem belluina est materialis." Ra- tional cognition and appetite, are unlimited; but matter is determined to one thing; its capacity to receive and contain, is determinate and limited; of sucli is the brute soul, which is material. t ' ' Natura determinata est ad unum ; sed voluntas se habet ad opposita. Voluntas dividitur contra naturam, sicut una causa contra aliam, quaidam enim Bunt naturaliter, qusedam voluntarie. Est autem alius modus causandi proprius voluntati quae est domina sui actus, praeter modum qui couvenit naturte, quae est determinata ad unum. Semper naturaj respondet unicin, proportiouatum naturae: naturae enim in gcnere respondet aliquid unum in genere, et natm-« in specie acceptoa respondet unum in specie ; naturae autem individuatJB respondet aliquid unum individuale. Eorum igitur voluntas principium est, quae possunt sic, vel aliter esse. Eorum autem quae non possunt nisi sic esse, principium natura est." (Div. Th., 1 p., qu. 12, a. 1, et 1, 2 p., qu. 10, a. 1, ad. 3.) Nature is determined to one thing; the will is capable of opposites. The will is the opposite of nature, as one cause is the opposite of another, for, some things are natural, some things are voluntary. There is also one mode of causing, proper to the will as supreme over its act; a different one agrees with nature which is determined to one thing. There is always one object corresponding to nature, proportioned to nature: to nature in general, corresponds some one thing in general; to nature taken as a species, answers a species of object; to individual nature, corresponds an individual thing. The will, therefore, is the principle of those things that can be either one way, or another nature is the orinciple of those things that can be only one way. GENERAL METAPHYSICS. 227 the intention of it, however, is not referable to them, but to an intelHgent cause which is above them, and anterior to them.* Order and unity, attained by appropriate means, are manifest in the crystal, the mineral, the vegetable, the brute animal, in all objects around us ; but the true cause and design of it, we cannot ascribe to those objects. For order, as such, can be intended diiid formally effected oxAy by an intelHgent cause; and the concurrence of irrational agents in producing it, is only instrumental and mechanical. Hence, none but an intelligent cause can per se produce order; for order essentially impHes judgment; man, by the exercise of reason, produces order in thought, word, and work ; but the order that is in his physical nature as a sub- stance, is from God : " Ordo rectae rationis est ab homine, ordo naturae est a Deo." To investigate this order with the design which it evinces, as manifested in the works of creation, in the means appor- tioned and directed to ends which are discernible in all of them, constitutes what is termed the study oi fi7ial causes. As before remarked, the final cause is the highest and the most noble of the causes ; for, it bespeaks the intelligent principle that gives motion, direction and efficacy to all the other causes, since they are subordinate and subject to it, and are, there- fore, dependent on it in operating. Hence, its objects fur- nish the mind congenial and elevated knowledge, since they acquaint it with the ends for which the different works of cre- ation are destined, as shown by their action ; and, by conse- quence, no study depending on the mere light of reason, can give us more perfect views of the author of their existence. When Bacon and others say that the study oi fifial causes^ according to the manner in which they are discernible in the nature of things around us, is arrogant, and tends to atheism, their fear and warning come, perhaps, from misguided reverence * ' ' Ovis fugit lupum ex quodam arbitrio quo existiraat eum sibi noxium ; sed hoc judicium non est sibi liberum sed a natura mditiun." (Div. Thorn. 1 p., qu. 59, art. 3.) The sheep flees from the wolf by a certain choice in which i esteems the wolf hurtful ; but this judgment is not free, but is implanted in it by nature. 228 GENERAL METAPHYSICS. to God ; " aemulationem Dei habent, sed non secundum scien- tiam."* All things are parts of the volume which creation forms, and it is open before us that we may read, and learn to know the existence and the perfections of its Author, as shown in his works. As the bees of Mount Hybla sip honey from the very flowers that give to reptiles deadly venom, so, that which teaches wisdom to the well meaning, may be turned to evil aims by the ill-disposed. In the operations of natural law, there is never mere acci- dent, or purely fortuitous event ; for, irrational agents have no action except in obedience to the law of their nature, imposed on them by the author of their being. Their action, though various, is orderly; their mechanism, though complex, has unity, and nature never fails either in the coordination of her means or in the attainment of her ends; "natura nunquam deficit in necessariis." Hence, such study of the creatures around us not only tends to knowledge that is true, and high, and wise, but at the same time gives us conclusions that are mfallibly certain. * ' ' They have a zeal of God, but not according to knowledge. * * (Rom. x.) See page 56. END OF ONTOLOGY, OR GENERAL METAPHYSICS. ALPHABETICAL INDEX. PAGE. Absolute 20 Abstract and Concrete 18, 19 Accident 26, 182 Accident, Proper and Common 181 Accident, Fallacy of 56 Accident, Separable from Subject 180, 183, 196 Accidental Cause 204 Act, the Pure 124 Action, Immanent, Transient 187 Actio in Distans 211 Acts Specified by Objects 71, 154 JEstimativa Potentia 86 Analogy 21, 162 Analogy Can Found Demonstration 54,137, 162 Analogy not Parity 22 Analysis 48 Appetite, Appetition. 166 Appodictic Demonstration no Apprehension 16, 64, 108 A se. Per se {7iote) 178 Assent, Consent 72 Attention „ 18, 126 Attribute or Property 25 Authority of Learned Men 132 Being, Notion of 151 Being, Degree or Grade of 202 Beauty 173 Begging the Question 57 229 230 ALPHABETICAL INDEX. PAGB. Brute Soul : 90 Categories, the Ten 23 Causation, Principle of 199 Cause, Kinds of. 200 Cause, Efficient, Final 200 Cause, Material, Formal 206 Cause per se, per accidens 204 Cause, Exemplary 211 Cause, Univocal, Equivocal 211 Certainty 67 (et seqq.) Certainty, Criterion of 78 Circle, the Vicious 58 Comprehension of Terms 18 Comprehension in Conclusion of Syllogism 40, 214 Composition and Division 56 Conceived, What Cannot be is Nothing 22 Concept 16 Conclusion of Syllogism a Synthesis 40, 217 Concrete 19 Condition, not a Cause 2H Connotative 20 Consciousness 82 Consequence, Consequent, Sequence 2>^ Contingent 52, 75, 222 Contrary, Contradictory 34 Conversion, Mutation 155 Creation, Act of 158 Definition 28, 135 Demonstration 50 Determinatum Ad Unum 226 Difference, the Specific 24 Dilemma, the 46 Disposition 189, 212 Disputation 141 Distinction of Reason 163 Divisibility, How Infinite 185 Division, Rules of 27 ALPHABETICAL INDEX. 231 PAGE. Double Middle Term 54, 59 Doubt 66 Election, End not Subject to 187, 205 Elicited Acts 166 End 204 Enthymeme, the 45 Ens Rationis 163 Equivocal 21 Equivocal, Univocal Cause 211 Error 63 Essence, Nature 22, 153, 158 Evidence 69 Evidence, in Civil Courts {iiote) , 129 Evil 165, 172 Existence 158 Extension of Terms 18 Extension, Definitive and Circumscriptive 184 Faith, ijelief. 70, 74 Fallacy 55 Fancy, Same as Imagination 86 False, Falsehood 63 Figure 186, 195 Final Causes, Study of 227 Finite 213 Finite Founds Knowledge of the Infinite 213 Form and Matter, Theory of 206 Genus 24 Good 165, 171 Habit 189 Hypothesis, only Probable 54 Hypothetical Argument 43 Hypothetical Proposition., t^t^ Idea, not Image of the Fancy 17, 108 Ideal to Real, not Valid Illation 219 Ideas, Objective Reality of 112 Ideas, Universal, Founded on Objects 115 Identity 54, 161 232 ALPHABETICAL INDEX. PACK, Ignorance 64, 66 Imagination, an Organic Power 92 Imagination, How it is Essential for the Intellect 84, loi Immanent Acts, Transient Acts 187 Impossibility 1 60 Induction 52 Infinite (et seqq.) 213 Infinite, Known fi-om the Finite 214 Infinite /;/ Fotentia, cannot become Actual Infinite 185 Instinct 89, 225 Instrumental Cause 211 Intellect, not an Organic Power 103 Intellect, Adequate or Connatural Object of 104 Intelligence a Virtue or Perfection of the Intellect. . 138, 190 Intend, Intention 225 Intensity, Greater or Less, Objects Capable of 193, 195 Intention, First and Second, Terms of. 20 Intuition of the Absolute, not Natural 214 Judgment 30, 109 Known Per se, What it Signifies 220 Life 187, 188 Material Cause 206 Matter and Form 206 Meditation, What Constitutes it 127 Memory, Sensile, Intellectual 125 Mental Term, Verbiim Me?ifis 16 Metaphysical, the 149 Metaphysical Truth 61, 164 Method, Scientific 48 Mind, Powers of 35 Mixed Perfection 212 Motion, of Self, is Life 187 Mutation 155 Natural Agent 168 Nature, Essence 22, 153 Necessary, Necessity 222 Nominalists, Realists 115 ALPHABETICAL INDEX. 233 PAGE. Objects, how they Specify Acts 71 Ontological, Psychological 51 Opinion 54., 66 Opposition ;^-^ Order 224 Organ, Organic Power 85, 95 Parity 22 Particular and Universal 19 Passion Specified 72 Perfection, Simple and Mixed 212 J^er se, has Different Meanings [no^e] 178 Fer se Known, or Self-Evident 220 Philosophical Knowledge 138, 140 Possibility 160 Potential Existence 207 Powers Pertain to Essential Quality 154, 186 Premises, of Argument 37 Probability , . 53 Probability, in Cognition only 53 Probability Essentially different from Certainty 53? ^7 Property or Attribute - • 25, 181 Property an Accident 181 Proportion, Analogy of 21, 162 Proportion Essential to Beauty 174 Proposition 31 Psychological, Ontological 51 Quality, as a Category iS6 Quality Follows the Forin^ Quantity the Matter 184 Quantity 184 Reasoning, Specific Act of 35, iii, 213, {fiote) RedupHcation, Reduplicative, Effect of. 2>Zi ^53 Realists 115 Reflexion 19 Reflex Act, Organic Power Incapable of 88 Relation 197 Science, Scientific Knowledge 132, 140 Senses, Internal and External 85, 95 234 ALPHABETICAL INDEX. PAGE. Sensible, the 95 Sequence 36 Similarity 162 Singular ig Soul, Immaterial 91 Species 22 Species, "Genesis of" 122, 195 Spontaneous Act, Spontaneity 168 Subcontrary 34 Sublime 179 Subsist 208 Substance 178 Substance, Complete, Incomplete 179, 208 Supposition of Terms 21 Suspicion. 66 Syllogism, Canons of ^6 Syllogism, Expository the 42 Synthesis 48 Testimony of Witnesses 129 Transcendentals 20, 119 Transubstantiation 157 Truth, Metaphysical, Logical, Moral 61, 164 Truths, the Primitive 80 Unity, One 161 Univocal 21 Universal 19 Universal Ideas, How Less Perfect 121 Will, the Rational Appetite ' 166 Will is Free 166 Will not Free to Wish Evil, as such 167, 205 Will, its Act Less Evident than that of Intellect 84, 194 Wisdom 138 Witness 129 JTuly, 1878 STANDARD SCHOOL BOOKS, Published by MURPHY & CO., Baltimore. j^*A liberal discount to Booksellers, Schools, Teachers, &c., when purchased in quantities. Fredet's Ancient and Modern Histories. New Revised and Enlarged Editions, Continued up to 18G7. Ancient History ; from the Dispersion of the Sons of Nee, to the Buttie of Actiuvi, and the Change of the Roman Republic into an Empire. By Petkr Fredet, D. D , Professor of History, in St. Mary's College, Bait. 32d revised edition. 12o., half arab. 1 60 Modern History ; from the Cuming of Christ, and the Chanqe of the Roman Republic into an Empire, to the Year of our Lord, 1867. By Petkr Fredet, U. D , Professor of History in St. Mary's Col- loge, B:ilt. 34th revised and enlarged edition. 12o , half arab, 1 50 Introduced into many of the principal Li'erary Institutions of the United States, adopted as Text Books in the I i>h University, Duhlin and many In.sti- tu'ions in England and the Provinces, Fredet's Hi.stories have acquired a wide- spread reputation, and their excellence i.s too well established, at this day, to be dwelt upon. The publishers have the pleasure of announcing, that, ia oVder to malve the Modern History moi-e complete and deserving of the liberal patronage hitherto extended to it, they hav •, with the valuable assistance of tlie late Dr. Fredet's reverend collaboiators, added several Chapters embracing the Hi.-.tori- cai Events t'lat have taken place in thi-; and other countries from i8.54 to 18C7. The Modern History has been thoroughly revise 1 and considerably enlargea. The additional matter, carefully prepared, will be found worthy of the distin- enished Historian's original work. The history of the Recent Civil War i;i the Uni:ed States, particularly, has been compiled \viih a truthful impartiali(y which makes it the best Synopsis of this Memorable Event yet published for the use of Educational Institutions. It is a correct record of facts, faithfully told with- out political comment. The student will therefore find in Dr. Fredet's two books, the "Ancient" and " Blodern " Histories, the most Complete, Authentic, and reliable History of the World, from its Creation to the Year of our Lord, 18G7. ^^Pro-n a large number of Ccmviendatorr/ Notices of Professor PredeCs Ancient and Modern Histories, we select the following, as embodying the spirit of all. College of William k Mart, Williainxhurg, Va., October, 1867. Gentlemen:— The demand for Fredet s Ancient and Jlodern Histories and Kerney's Com- pendium of History, showi tliat these most excellent books are appreciaied as thev ought to be. 'I'hu imMrovements and uddi ions to tlie editions of 1867 just issued from vour press, make them all that could be reasonably desired. Immediately a'ter the reopening ofthe College ot Willi. >m and Mary, in 186.5, Fr- defs Histories were, after a carelul examination ofthe Text Books ( f the day. adopted in ihe Institution. A more intimate acquaintance soon justified the wisdom of the selection. They evidently were written in a conscientious ami Chri^ti.-.n spirit, with a manifest intent lo teach historical truths. They constitute an honorable monument to the memory of the late Reverend Author, Kerney's Compendium was subsequently introduced into the College Grammar School; and gave entire satisfaction. In style and system and the intere-t it excites, it is a imirablv adapted, to beginners and junior s udents, while it wax be read and cousulted with profit bv the more ad- vanced. Trustina: that jovr public spirit an'd tnterprise in putting su h standard works withia reach may meet with a liberal encouragement. I remain yours, very respeetlully, aiessrs. J. MURPHT k Co. "' Benj S. Ewell, President, College W. dc Mary. The Metropolian says:— "The style Is veritablv charming by its simplicity, and by the quiet love of his subject which the author displays. It is the language of a talented and successful teacher, who relates to his class the great'evenis of time, sm^einctly but graphically, yet in a. lively and picturesque manner. It is thiis that history should be written for youth." The London Standard says:—" Th^SQ two excellent manuals of History have a wide and in- creasing circulation in America, and are everywhere held in tiie highe t esteem. The compiler, Dr Fredet, has achis;7ed a task of no ordinary difBeulty, in compressing so much recondite mat- ter into so small a spa^e; in leaving u^itohi nothing that was of note of the iu.mense and varied annals of the world. No college, school, or library ought to be w ithout these excellent works." The Dublin Telegraph says:— " Fredet's Histories have been adopted, as a class book, by the Irish University; and we entertain no doubt, that they will supersede, even in other establish- ments, those miserable compi ations which wilful perverters of truth have long palmed upon th« publij as histories and abridgments of histories." The Dublin Tablet 8:iys:— "These two volumes are plain, copious, and useful eummaries of histcrj-, and the number of editions through which they have passed attest their popularity." The Philadelphia Instructor says :— " We hope these histories will find their way into literary Institutions in order that the young may learn the past from pure and uncorrupted sources." Murphy & Co., Publishers and Booksellers, BaUimm'e. 1 ' School Edition Lingard's England. JLinff'TrfVs TJisfory of Jiiiff^and, By Johx Linqard, D. D. With ft Continuation from 1G88, to the rci8:— We find no books so well adaiit?d to the wants of our Public School* as "Kerney's First Class Book of History" and "Kerney's Compendium of History." The Sotjool Board of Talbot county adopted the^e books unanimously. A. CBArLAiN, Sec y. Murphy & Co., Publishers and Booksellers, Baltimore, 4 ONDERDONK'S HISTORY OF MARYLAND, From Its Settlement, to 1 8 7 7. With the Constitution of the State, for the Use of Schools. Fifth Revised and Enlarged Edition, with Fine Engravings, 376 pages, 75 cts. Adopted as a Text-Book in the Public Schools of Baltimore, AND SEVERAL COUNTIES OF THE StATK. From the Preface.— The former editions of this History having met with such favor from the public that a new edition is demanded, opportunity has been given to make further additions. Biographical sketches of some of Maryland's prominent men have been added. New illustrations have been made, and it has been more thoroughly adapted to the use of the class room. The portion that relates to the period of the civil war has been re-written, and care has been taken to make it a History of the State during that war. No attempt has been made, and it would be out of place if it were made, to give a history of the war; Viat belongs to the History of the United States. ^ The History of the Proprietary government, under which Maryland was es- tablished and grew, is full, for it is in that government that we find the germs of those principles of popular liberty that resulted In the Revolution ; and it is in the free institutions founded under it that we recognize the school in which our fathers learned both the true objects of government, and their own rights as individuals. There is perhaps no stimulus to worthy deeds, or at least to the preservation of self-respect, equal to that which is furnished in the legacy of a good name. That our youth should know how rich the History of Maryland is in all that can inspire noble emulation, is not only desirable in itself, but is the surest pledge that they will be animated to deeds worthy of their sires, and that, by "imitat- ing the virtue, the valor, and the liberality of their forefathers," they will hand down the State to posterity with untarnished lustre. In the former editions, the hope was expressed that this little book might be instrumental in promoting this knowledge among the rising generation of the State. TTie ad-option of this History as a text-hook by the Public Schools of the eity of Baltimore, and the subsequent adoption by the State Board of Education, and their recommendation of its use by all the Schools of the State, justify the hope expressed, and give assurance that it supplies the want so long felt. With the view of meeting the requirements of the School Law of 1S7S, the Constituttoh of the State has been added. The importance of making this a subject of study in the common schools cannot be over estimated. As it is the duty of every man to take a part in the political movements ot the day, we trust, that our youth, will be thoroughly instructed therein, so that when they come to act their part on the stage of life, they may be amply prepared to discharge the high and holy duties that necessarily devolve upon every freeman. The authorities consulted in this work are McMahon, McSherry, Irving, Ban- croft, Bozman, and papers of Maryland Historical Society. College St. James, Sept. 1877. HENRY ONDERDONK. OrncE SuPEBiirrENDEiiT or Pfblio Insteuction, Baltimore, April 3Qth, 1877. This 13 to certify that the Third Revised Edition of Onderdonk's History of Maryland, pub- lished by John Murphy & Co., Baltimore, vras on the 24th of April, in accordance with a unani- mous resolution of the Committee on Books, adopted by the Board of School Commissioners of Baltimore, for use in the Grammar Schools. HENRY E. SHEPHERD, Superintendent of Public Schoola, 4®" At a meeting of the State Boarp of Education, held on the 29th of May, 1872, Onder- donk's School History of Maryland, with the Constitution of the State Appended, was unani- moQsly recommenaed for adoption in all the Public Schools of the State. Murphy & Co. Publishers arid Booksellers, Baltimore. 5 Kerney*s Aritlinietics. The Columhian Arithmetic, designed for the Use of Acade- mies and Schools. By M. J. KtRNKr, A. M 2Glh Edition. 50 The oim has been, ia the compilation and arrangement of this work, to make it a book of prnriirnl inHtruclion ; ono in ■vvhuh the pcienco of figures is thorouprlily explained and clearly elucidated. The examples for practice are generally euch as the pupil Trill meet in the various busincs< transactions of life. The arrangement is progressive, all questions being solved by rule j previously explained. This le w editi^iu has been carefully revised and enlarged. Several useful tables oa the subject of Ii>iere<,l have been introOuced, and numerous miacellHueous examples added. The e improvements reader the 'work still more deserving of the extensive patiouageit has heretufore enj.en added, containing direc- tions for writing Letters, Notes, Cards, Ac, with a variety of examples of the same. A Catechism of Scripture History , compiled by the Sisters of Mercy for the children attending their schools. Revised by M. J. Kernby, A. M ., 31st Edition. 75 "This excellent work is extensively tised in nearly all Catholic Institutions throughout England, Ireland, Canada, and the United States. " The. object of the Catechism, * is to render children early acquainted with the truthful and interesting events recorded in the Sacred Scriptures; to familiarize them with the prophecies relating to tbe coming of the .Messiah, and lead them to rega; d the Old Testament as a figure and a forshadowing ot the New.' "The present edition has been much improved, the questions to the answers being made more concise, so as to admit of their being easily committed to memory. An Appendix has also been add.-d, containing extracts from the Prophets, Scripture texts, and short sketches of the lives of the Apostles and Evangelists. The Chronological Table, which has been carefully re- vised and considerably enlarged, fixes the dates rf the most remarkable events recorded in the Sacred Writings." Catechism of Ecclesiastcal History, Abridged for the Use of Schools. By a Friend of Youth. Enlarged Edition. IGo. flexible cloth, .30 This little work has been carefully revised and enlarged, the text being brought down to the present time. Ttieso improvements it is hoped will render it still more popular with tlifi in- structors of youth. Muri ay\s English Gramtnar, adapted to the different classes o! learneVs; with an Appendix, containing rules and observations for assis-ting the more advanced students to write with perspicuity and accuracy. By LlNDLUY MUURW 12o. 40 In presenting a new edition of Mt'-rray's Gnaromar, which is wnivetaally considered the best extant, we deem ic 8uffl..ient to state, th.it die present edition is printed from an entirely new set of plates, and that it has been c.irefully revised, and free from many of the inaccuracies and iilemishes which are to be found in other oaitious, printed from old stereotype plates. This^ together with the very low price affixed to it, are thi only claims urged in favor of this edition] Murray's English Reader 18o. 35 Murphy & Co. Publishers and Booksellers, Baltimore G HILL'S PHILOSOPHY. HILL'S rniLOSOrST, comprising Ethics and Moral Philosophy, By Kev. Walter H. Hill, S. J., Pro- fessor of Philosophy in the St. Louis University ^ Mo. Just PuhlisJieil, in 1 vol. 12o. 342 pages, half arabesque $1 60 We have the pleasure of announcing the second volume of Hill's Philosophy, comprising the very important subject of Ethics, or Moral Philosophy. The Author has taken time to perfect his work by reflection, revision and frequent correction, so that his Readers will be repaid for their long waiting by tho ex- cellence of the work. Ethics is a subject on which we have thus far had no safe text-book in our language; and yet its importance is such, that no other subject, besides those intimately connected with faith and religion, needs more wise and discrimi- nating treatment. , In a country like ours, where every citizen wields power for the weal or woe of his fellow-citizens and his country, what can be of more vital consequence than that every citizen should have true and sound notions and principles about the great questions of which Moral Philosophy treats, such as the nature and origin of authority, dominion and government; the relation of man. to himself, to society and to his Maker; the family, education, Ac? The volume here presented is one in which all may read with profit, and whose doctrine they can safely adopt and follow in practice. To the student and pro- fessional man it is simply indispensable. It advances nothing that is not war- ranted by the greatest and wisest of the men of past ages, St. Thomas, St. Augustine, Suarez, Becanus, &c , whose authority is quoted on every page. The Author's own long experience in teaching this branch of science, in one of the principal colleges of the Society of Jesus in this country, is another motive for confidence in the fruit of the patient labor he has bestowed on his work. We send it forth on its mission, in the assured hope that it will be received with at least as much favor as was shown to the volume on Logic and General Metaphysics from the same pen. ELEMENTS OF PHILOSOPHY, Comprising Logic and General Principles of JtTetaphi/sics. By Rev. Walter H. Hill, S.J., Professor of Philosophy in the St. Louis University, Mo. Uth Revised Edition, $1 60 From the Publishers' Preface to the Second Revised Edition. — It is not yet one month since we issued the First Edition of Hill's Philosophy, and such has been the demand for the work, that a second Editon is required. Very favorable notices have already been given of the work by several periodicals, and able judges, whose verdict we know to be of the highest authority, have pro- nounced the book a true and trusty guide through the intricacies of philosophy. •' We rejoice at this success, because it ensures the completion of the whole work, including Ethics, and gives us every reason to believe that we shall soon have, in our language, a Manual of Philosophy, for students and for the general reader, equal to the admirable Latin works, which have hitherto been almost the only pure sources of Philosophical knowledge.' "The Author has taken advantage of the opportunity offerpd by the prepara- tion of this Edition, to revise his work and tlius render it more acceptable to the student." This Work is from the pen of one who has devoted many years to the f5tady and teaching of philosophy. Th-xt it is sound in principle, is guaranteed by the well known character of the studies in the Society to which the author belongs, whilst his experience as a Teacher leaves no room for doubt that his book ha« been written in clear and correct language. It is elementary and must be con- cise; yet it treats the important points of philosophy so clearljs and contains so many principles of wide application, that it cannot fail to be especially useful in a country where sound philosophical doctrine is perhaps more needed than in any other. i*^Specimen copies of either Work, will be sent by Mail prepaid, to Teachers and others, with a view to Introduction, only on receipt of one-half the retail price, iS^These two volumes arc ipeciaL Murphy & Co., Publishers and Booksellers, Baltimore. I Sestini's Mathematical Works. Elementary Afgebra* By B. Sestint, S J., Author of Analyti- cal Geometry, &c,, &c. Professor of Natural Philosophy and Astronomy in Georgetown College. 12o. half arabesque, 75 The main object of this treatise is to render the science of Algebra intelligi- ble to pupils whose minds are yet unaccustomed to such studies. Tlic beginner will here be ftunirofit, by the aid of a treatise now in preparation, which is in- tendt d as a sequel to this, and, by more exact and thorough investigatiop, com- plete his Ltudy of Algebra. A Treaiiso on Algebra. By B. Sestini, S. J., Author of " Elementary Algebra," "Analytical Geometry, &c. 12o. 1 00 The treatise is divided into two p-^rts, the first of which contains Algebraical operations, with several questions and doctrines connected with them, so that each section may prove complete in its own subject, and the inconvenience of turning elsewhere to speak of matter left unfinished before, may be avoided. . . . The second contains the most indispensable theories of equations, proportions, and progressions, logarithms, and some, few principles on the series. The doe- trine of equations has been treated more copiously than the others, not so much on account of its importance as because it is well adapted to give an idea of algebraic analysis, and thus prepare the mind of the student, who would after- wards apply himself to higher studies. It is as clear and concise as the nature of such works permits, and seems to embrace everything necessary to a full knowledge of Algebra. Elements of Geometry and Trigonometry, by B. Sestini, S.J., Author of "Analytical Geometry," " Elementary Algebra," &c. 8o. half cl. $2 •'The author has succeeded in combining two qua'ities rarely united,— great perspicuity and extreme conciseness. It has evidently been the result of great thought and long experience in teaching. The student passes gradually from the .simpler to the more complex truths of the science. The work cannot be too warmly commended as an admirable introduction to the science it professes to teach, and we would advise teachers and parents not to select a text-book until they have given this volume a careful and candid examination." — Metropolitan, Manual of Geometrical and Infinitesimal Analysis, by B. Sestini, S. J. 8o., half roan (Recently Published,) 1 60 Extract from the Preface. — "This manual, prepared with the view of its serving as an introduction to the study of Physical Science, was onlv intended f<^r a class of students intrusted to the care of the compiler. The suggestion of friends that the work might prove advantageous to others induces liim to oflPer it to t!ie public. "Works of analysis — some of theiA voluminous — are not wanting; nor does our little book pretend to give a complete development of its subject. For this reason we call it a manual, which excludes all discussions the results of which are seldom or never called into use in the applications. It is hoped, however, thrt it will sufficiently serve the purpose intended." The North American Spelling Book, Designed for Elementary Introduction in Schools. A New Enlarged Edition. Being an improvement upon all others 20 The aim in this compilation has been to present a gradation of leesonB necoesary to impart a knowledge of the spelling, division, pronunciation, and accentuation of the Tarious sounds and syllables that compose the English language. In pronouncing and accenting words, good usage and the best lexicographers have been followed. The rules laid down are few, but simple and concise; and the progress from what is easy to what is diflScult, is gentle and gradual. It is universally conceded to be on« of the 4iBBT, as it is nnquestionably the Cheapeit Spelling Book published. MuRPHT & Co, Publishers and Bookfiellers, Baliimoi-e. 8 ^^^ THE BEST AND CHEAPEST "Wilson's Progressive Speller. Wilson's Progressive Speller, containing upwards of Twelve Thousand Words, with Reading and Dictation Exercises annexed to each Les- son, arranged so as to be best adapted to Aid the Memory, and obviate the difficulties in this Branch of Elementary Education. Compiled by William J. Wilson, of North Carolina Fifth Revised Edition, 190 pages, ISo. 25 This booK has been prepared with great care by a gentleman eminently quali- fied, both by education and experience. Its characteristic is the simplicity of its arrangement. Being strictly a Spelling Book, no attempt is made to combine with it subjects of study coming, properly, after the child has learned to spell and read. Each lesson is accompanied by a Reading and Dictation Exercise, designed to cultivate the eye, the eir, and the hand. The object of a Speller being to teach the mechanica' structure and pronunciation of words, the lessons and exercises are arranged primarily and solely to this end. The orthography and orthcBpy are according to the standards recognized as highest authorities in this country. Especial care has been taken to keep it free from provincialisms^ and it is, therefore, recommended as a Text-Book suitable alike for all sections of the country. The completeness of its vocabulary may be known from tha feet of its containing upwards of twelve Thousand English words. Recommendations, Notices, &o. State or North Carolina, OrncE Superintendent of Public iNSTRuurioif, Raleigh, May 20th, 1871. Messrs. John Murphy & Co., Gents— 1 have the houor to inform you that, by viitue of a vot« passed by the Board of Education of this State, on the 25th of March last, " Wilson's Progres- Bive Speller" is recommended for use in ihe Public Schools of this State. Yours truly S. S. ASULE Y, Sec'y of Board. From R E v. C. H. W I l E Y, Superintendent of Common Schools of N. Carolina. Mr.W. J. Wilson : Dear Sir — I have examined with care your Spelling Book, and regard it ai ft book of decided merit. You have manifested in its preparation taste, judgment and learning, and I consider it worthy of iatroduction into our schools. I am truly yours, C. II. WILEY. From Rev. B. Craven, D. D., President of Trinity College, N. C. Mr. Wilson: Dear Sir — I have examined your Spelling Book, and believe it in many respect* •uperior to any with which I am acquainted. It is full of important improvements. I should b« glad to Bee it introduced into all our schools. B. CRAVEN. From Rev. Dr. Deems, of N. Carolina. Dear Sir — The pressure of my engagements has not allowed time for a very careful examina- tion of the MS of yonr Spelling Book, the many good points of which have made themselves ap- parent to the Rev. Dr. Craven and the Rev. Mr. Wiley, whose judgment of such a work I am free to endorse. I hope it will meet with deserved success. Very respectfully yours, W.J.Wilson, Esq. CUARLES F. DEEMS. From Professor Joynes, o/ Washington and Lee Unioersity, Va. Messrs. John Murphy & Co., Dear Sirs— I regard Wilson's Progressive Speller, published by yoR, as the best Spelling Book that I have ever seen. In simplicity, in fullness, in well dis- tributed and well graded classification, and in practical convenience for use, I think it supeWor toother books. The Dictation Exercises that aceompany the spelling lessons, afford a useful praxis lor the pupil. I like the book most of all on account of its simplicity and easy progrtS' aioeness. It recognizes the old truth — almost forgitten now-a-daj's— that spelling is something not only worth learning, but very hard to learn, and therefore needed to be taught by systematic, constant, and well-graded practice; :.nd of this, it furnishes more, and furnishes it more judi- ciously, than any other book that I have seen. I wish it may obtain a very wide use. EDWARD S. JOYNES. " The work is systematic, devoid of provincialisms, arranged with strict regard to gradation with a uniformity of all the leading vowel sounds in all the words of each lesson. The classifi- cation is admirable, and we believe the work will be approved by teachers everywhere." Memphis Public Ledytr. Murphy & Co., Publishers and Booksellerst Baltimore, 9 To Catholic Educational Institutions, In soliciting attention to the following, the Publishers have the pleasure of announcing that most of these Works have been intro- duced, and are extensively used in tnany of the leading Colleges^ Academies, and Schools in the U. S., Canada, ^c. Prom a large number of Recommendations, Sec, we select the following : Professor Jonx O Kane Murray, B. S., of Brooklyn, N. T., in his Literary Correspond- ence to the Toronto Tribune, under the head of "American Literary Notes," says: A. lELlslory of the Catholic Church — "how many who think themselves very intelligent, never read one, in fact, never saw any such work? Without wishing to press the point too closely, how many, even of our Catholic College graduates, know quite as much about the history of Mohametanism as they do about the history of Catholicity— perhaps more? And is this something to be proud of— something concerning which every one who is not a college president, or a Cardinal, should be silent? But why write a catechism? The plain, blunt truth is, this is a matter of shame in many of our higher institutions. Algebra, mythology — the tag-ends of nearly every 'ology' and 'ometry,' are freely thrown to students while they are left to hunger for even a glance at any book containing the history of what is dearest to us on earth — our sublime Old Church] Who hears of a student's getting a prize for excellence in Church Eistory? Frankly, I have not. We talk about religious instruction; with clarion voice, we urge the necessity of making our Catholic youth familiar with the Church and her doctrines. This is well. But let every Catholic College hang its head in shame, 'as a traitor to its high mission,' if it neglects placing Church History on its programme of necessary studies. "On this subject we have now some excellent text-books, about one of the very best of which, I desire to make a few remarks. The 'History of the Catho- lic Church,' by Rev. Father Noethen, is a handsomely bound volume of 650 pages. It is published at a very low price by the enterprising house of John Murphy & Co., Baltimore. As a well written and meritorious text-book on Church History, it has no rival in our language. 'Full without overflowing,' it strikes the golden mean between too much and too little. The arrangement, the skillful presentation of salient points, the omission of trivialities commands hearty praise— in short, the whole book bears the impress of a master hand. This is just the volume for our students— not to be ignorant of, but to master. It would be interesting to know how many of oi:r Catholic Colleges in the United States and the Dominion of Canada, use a text-book on Church History. Nov/, I desire it to be well understood, that this is written with all due respect to everybody, by one who does not wish to be numbered with the croakers, and who is neither indifferent to the good name of our Catholic Colleges, nor ignor- ant of the grand work they are doing for the sound education, true progress, and civilization in America." JLingard's England, by Burke, (720 pagt^s.) is a most felicitous and success- ful attempt at giving the world an abridgment of the greutef-t history of Eng- land ever written. The fifteenth revised and enlarged edition lies before me. It brings the story of England, down to 1873. As an excellent treatise for the etudeiA, or general reader, it is unequalled in beauty of style, treatment of sub- ject, Catholic tone, and richness of illustration. The "make up" of the book is also highly creditable to the publishers. "The rapid progress made by American Catholic literature, during the last few years, is a subject ixit by any means as well known as it should be. This is especially noticeable in the line of sound, suitable text-books for Catholic schools and colleges. Among the enterprising publishing houses that have Murphy & Co., Publishers and Booksellers^ Baltimore, 10 Recommendations, &c Continued. been conspicuous in bringing about this laudable improvement, stands the well known firm of John Murphy & Co., of Baltimore. In the department of general history they publish the best text-books in the English language. This may sound like hyperbole; but it is not said at random, nor without knowing that •whereof we speak.* FredeVs Ancient and Modem Histary, in two volumes, are used in the best Catholic Colleges in the United States, Canada, Great Britain and Ireland. As an excellent general history in one volume, JK^emej/^s Compendium of Ancient and Modern JSintori/ stands alone, while his First Class Book of History is an inimitable little volume to familiarize youth with the great story of the past. Besides the foregoing, the following are a few of the excellent text-books which can bo warmly commended to Catholic educators and Catholic parents. They are published by Messrs. Murphy & Co., to whose courtesy we are in- debted for copies of the latest revised editions : Hill's Philosophy. — The Elements of Philosophy, by Father Hill, S. J., is another new work, which will prove of rare value to our Catholic students. It is a well bound volume of some 234 pages, and contains a thorough discussion of Logic and General Metaphysics. In our language, we know of but one other such work, (Louage's) written from a Catholic stand point, and of the two we much prefer Father Hill's book. Sound in doctrine, and written in a clear, terse stylo, this is a much needed and truly welcome text-book. A glance at another work, and w^ must finish. WettenhalVs Greek Grammar.— Rudiments of the Greek Language,* by a learned Jesuit Father, is an admirable little grammar of that classic tongue which was immortalized by Homer, Pindar and Sophocles. In 112 pages are condensed, simplified and arranged with a niasterhand, the principal points of Greek grammar. For accuracy, clearness, brevity and neatness, we have seen nothing to surpass this small volume." School and Classical Books, Paper, Stationery, &c. Their stock of School Books embraces, in addition to their own, nearly all the Publications of the leading Publishers in the United States, comprising every variety of Primers, Spellers, Readers, Grammars, Arithmetics, Geographies, Histories, Dictionaries, etc.; also, Works on Elocution, Afgebra, Geometry, Trigonometry, As- tronomy, Botany, Chemistry, Geology, and Mineralogy, Philoso- phy, Rhetoric, and Logic, Book-Kecping, Penmanship, etc., etc., together with all the leading Text-Books in Latin, Greek, French, Spanish and German — nearly all of which they are prepared to supply at Fuhlishers^ wholesale prices. TheirStockofPaper, Stationery, and School Requisites generally, comprises every variety, all of which they are prepared to sell at the lowest current rates Jl^^Orders, which will receive the same careful and prompt atten- tion, as if selected in person, are respectfully solicited. JI^^The various Railroad, Transportation, Express and Steamship Companies running from our city, afford every facility for trans- portation at the Loive-^t Rates, to all parts of the country — North and South, East and West. Murphy & Co., Publishers and Booksellers, Baltimore. 11 Jenkins' English Literature. JosT PcBUSHED, in a handsome volume of 56U pages, 12o. price in doth, $2. Library style, half morocco, $3. The Student's Handbook of British and American Literature, Containing JSketchks iiiooRAPHiCAL and Ckitical of the Most Distinguished English Authors, from the Earliest Times to the Present Day, with Selections from their Writings, and Questions adapted to the Use of Schools. By Rev. O. L. Jenkins, A. M., Late President of St. Charles, and formerly President of St. Mary^s College, Baltimore. (Special.) -Tnis is an Elemehtaiit History of the English Language and Literature, espe- cially intended for Schools, Academies and Colleges. 'J he period which it embraces, d ites back as early as the time when the Saxons under Hengist and Horsa landed in Britain, and reaches to our own day through the following Ptages: the Anglo-Saxon Period, 549-1005; the Semi-Saxon Ptrwd, 10')5-1250; the Old English Period, 1250-1350; the Middle English Period, i:i50-1580; and tlie Modern Period, from 1580 to our time. Each of these periods is a point of departure in the history of English Literature, and each crotices of tlio I*ross,«fcc. Brooklyn, N. Y., March 6, 1876. John Murphy, Esq., Publisher, Baltimore, Dear Sir: — " I beg of you to excuse my delay in giving what you so kiudly ask— Day humblo opinion of Rev. Father Jenkins' text-book ou onr language and literature. I liave given it a few hours examination, and my impressions are: The plan is good, the execution is excel- lent. The learned author handles his subject with ability, clearness, wisdom, and a calm impartiality, as rare as it is admirable. The critical remarks, both original and borrowed, are happy and to the point. Much good tasto and 8ound, cultivated Judgment are exhibited in the selection of the specimens. As a wholf, the work has so many merits, that it will — it must take its place as the text-book in Euglisii literature in all our high Catholic instit tious Of learning." J. O'KaNE MURRAY. Baltimore, Jaly VJth, 1876. Mr. John MtrRPHv, /)«;»r *■;> ;— Be pleased to accept my grateful anknowlndgments for a copy of Dr. Jenkins* Handbook of British and Aiierican Literature. I road the work wifi great interest and plea- Bure. It impressed me as a sound and scholarly book, carefully constructed, and containing much valuable information in regard to many authors, whose works and whose history, are little known to the American pnhlio. I trust th.at its success may be commensurate with its merits. I am, dear sir, yours very trulv, IlKNRY E. SHEPnERD, Sup't Public Instruction, Baltimore ''ThftTTistory of the English language i^ well and ii.sefiilly illustrated iu ttie work beftire us I hy niimerons extracts from Saxon and Anglo- ] Saxon writers of various periods, accompanied hy trinslations into modern English. The stndy of this book alone would go far towards enabling any one to understand and enjoy the Anglo Saxon writers." London Tablet. "It is without exception, the best student's handbook we have yet had under perusal." Nevoark Daily Journal. " The author shows himsel f thoroughly versed in his subject. He writes w'th elegance, occa- sionally with force, ns in tne remarks on th* influence of the Prot'j^stant Reformation on lit- erature. His taste is true and his judgment sound." (.alhuUc World. "We find much in it to praise ; the biographi- cal sketches are ex client, and the selections have been made with good taste. Wo like the arrangement of the work, which is clear and methodical." Aoe Maria. "It embraces specimens of the styles of writers, from the Anglo-Saxon period to the present time. These extracts are preceded by ample biographical and critical sketches of their authors, with interesting historical de- tails relative to thepr "gress of leitera during the different periods. Various tables, chronolo- gical and linguistic, as well as a copious index, accompany the work." PabUshem' Weekly. " The work is well written, and to CaCholio students of Eaijli-ih literature, we cordially recommend it. The style is excellent; it is the safest and most appreciative text-book that has so far appeared in America." The Salehianum. "The present volume is very full, compre- hensive and complete, oraiting no literary name of any note." St. Louis Globe Democrat. "We think that it cannot be excelled, and cnnnot fail to become one of the most accep- table text-books thit has yt't been presented to our educational institutions."— Pi. ;') ,-^\v>,^ ics loj/.-'j^JSl \ ~K '^.t is\XAiSl* J»> -»\.ilWS IM r^^ -.5C 'ijrmmammm