Class __'MiM Book_ S GoEyrightN? CQECRIGHT DEPOSIT. BOY'S BOOK ON LOGIC A TALK, NOT A TREATISE BY WILLIAM TIMOTHY CALL Price, 50 Cents W. T. CALL 669 East 32d Street brooklyn, n. y. 1914 ~^C \c>\ £3 COPYRIGHT, 1914, BY WILLIAM TIMOTHY CALL 0. tf"« JAN 27 4>ClA3eg339 PREFACE Because I think boys have open minds, this book has been made for boys only. They like to take a watch apart to see what there is in it. They care nothing for style and dignity and pretension, which the older fellows so dearly love. The poet Keats discovered that the imagination of a boy is healthy. Girls believe there is no fun in thinking un- less it is about some person. The old folks do not like to look into things because it disturbs their serenity. They re- gard boys as little animals with inquiring minds. Their own minds are packed with judgments and convictions that other people have rammed into them, and they think peace and rest the only fun in the world. We know what Dr. Osier said of them, even if we are not sure of what he meant. Most of us think he meant that when their minds are completely packed for the long journey they may as 3 well take the first train for their destination. Boys go at things, and overhaul them for amusement, sometimes for deviltry. They like to get into an old attic on a rainy day and take a look at the relics. You are to understand, boys, that you are to regard me as nothing more than a frolick- some guide, ready to pull out anything, and say something about it that you are not obliged to believe. I will do the dusting, and you may do the thinking. W. T. CALL. New York, December, 1913. BOY'S BOOK ON LOGIC You have studied arithmetic, geography, and grammar; but have you studied logic? Have you ever opened a textbook on logic? No? Then, may be, you are not missing much, for some persons, even men in the front rank of wisdom, have said that logic as a science is pretension and humbug. They declare (and I believe it) that the rules of logic can not do anything for you that plain common sense, otherwise known as gumption, can not do for you. So be it, but — Well, when I was a boy I had a habit of peeking into all sorts of books to see what I could find that was interesting. Among the notions that fascinated me was the impression that, if I could only understand all there is in a book on logic, I would be able to pick out what is true and what is false in what I heard or read, unless, of course, I was dealing with lies I could not nail, or with facts beyond my reach. So far as arguments, or disputes about the reasonableness of religious or other ideas, were concerned, I thought logic was a magic key. In other words, I thought logic pointed out the truth. I was not foolish enough to believe that everything that may be logically true must also be actually true. The ancients seem to have believed that, and they devoted their mental energies mostly to dispute. But it should be remembered that they did not have to make a living, as they had slaves to do that for them. The main business of the ancients was to fight each other with a club or with an argument. If you could get a piece of the moon you could eat it. Why? Because the moon is made of green cheese, and green cheese is good to eat, and therefore the moon is good to eat. It is said that Socrates used to bring friends home to dinner so his wife, Xantippe, could feed them with gross food while they were feeding her with divine truth — and it is said that that is about all he ever did bring into the house. It was a long, long time before people would stand for anything but argument. In Shake- speare's day Francis Bacon advised people to get at knowledge by experimenting and observ- ing, instead of by merely arguing. He called this proposed method a new instrument for thinkers. Four hundred years before his time another Bacon — Roger (not related, so far as I know) did about the same thing, but the people would not have it. They thought he was dealing in magic. Jevons, the logician, says in his books that Roger was probably a greater man than Francis. I had supposed that Roger was like the other old worthies of the middle ages who knew all about God and nothing about Man. From a recent work, "Book of Facts," I take this brief sketch, in order to help Jevons ad- vertise Roger to the general reader : "Bacon, Roger ( 1214-1294) . He was a man of remarkable gifts. The invention of gun- powder has been ascribed to him. He is also said to have invented the air pump, and he was acquainted with the principle of the tele- scope and magnifying glass. He experimented with the steam engine. He was an unusual linguist for his time, knowing both Latin and 7 Greek, and also Hebrew and Arabic. He com- posed a large Greek lexicon and a Greek gram- mar. Roger Bacon, in fact, was one of the most remarkable men England has ever pro- duced. His views of many things were almost modern in the startling scientific way he ut- tered them. For a long time he was looked upon as an alchemist and sorcerer, and it is only in modern times that his writings and scientific discoveries have been rightly appre- ciated. He suffered two imprisonments of ten years each, because of his philosophical opin- ion." You see, in the old days it was important not to think of anything real. It is different now. As one of our writers puts it : "The two lead- ing ideas of the present age are Utility and Progress." But the force of habit is mighty, and many of us still persist in substituting force of in- tellect for obtainable information. For ex- ample, I was chatting a few days ago in an editorial room about the chief meaning of the word "propinquity" (whether nearness in blood relationship or nearness in position of objects), and we argued the matter until red spots came in our cheeks before any of us was 8 willing to overcome the inertia of laziness, and observe what the dictionary makers had dug out regarding its meaning. All logic really does is to show you how Aristotle and others since his time believe your mind works — that is, what kind of a mental process you use when you reach a conclusion in your thoughts. The mind seems to make a leap from an ad- mitted fact, or facts, to a conclusion, as a boy leaps from one side of a brook to the other. It is what you pass over in your thoughts that logic observes most minutely. Things change, but it is said the laws of the mind are un- changeable. The process itself is a very simple thing — merely bring two thoughts together in the chamber of the brain in order to create a third thought. Thus : Everything hard to get is worth having; money is hard to get ; therefore money is worth having. Stop right here one moment : Is it true that everything hard to get is worth having? Is it true that money is invariably hard to get? Is it true that money is always worth having? (See remarks farther on about quibblers.) That three-line form is the foundation on which all our reasoning rests; that is, all our judgments, all our conclusions, when reduced to their lowest terms, are of that form. I am not sure but that the most direct sensa- tion we can have — instantaneously seeing, feel- ing, or hearing something — does actually go through that fundamental process before it is recognized by the brain. Perhaps when a sen- sation reaches the brain it is there compared with other sensations, and is thus known to us. We know, for instance, that the sensation of pain may be continuously telegraphed to the brain without being recognized until the atten- tion is called to it, and we know that we can look at an object without being aware that we see it. It would seem that some process similar to that of reasoning must take place in the brain before we can know anything. But I am getting into water that is too deep for me, so we will go back to our logic. The specimen of reasoning I have given may be shown in a mathematical way, thus : 2+2+2=4+2 3+3=2+2+2 Hence 3+3=4+2 10 You understand, of course, that the speci- men (technically called "syllogism," bringing together) is the process in its simplest form, and that it may be twisted into many different shapes, and may be stuffed until it fills an entire book. It may be forced to take a neg- ative form by using the word "not," or the like, and it may be so changed in appearance that its real outline can not be clearly seen. With the details of logic I shall not bother you. Syllogism, dialectics, argument, deduction, reasoning, logic, are words of similar mean- ing, just as battle, fight, combat, contest, con- flict, are words of similar meaning ; but are not precisely the same in meaning. The word "deduction" is used a good deal in books on logic. Example: You put ten white marbles into a bag, pick one out at random, and by deduction you know it will prove to be white. Process of reasoning : All the marbles in the bag are white ; The marble picked is from that bag; Therefore that marble is white. Deduction means "drawing from." You drew your conclusion from the "premises"; that is, from the facts before you. 11 But suppose you did not have all the facts — did not know that all the marbles in the bag are white — how then ? You could not be sure that a marble taken out at random will be found to be white. But suppose, again, that all the marbles you ever saw or heard of are white, then you would infer that the one you pick out will be white, even if you did not see the marbles put into the bag. That kind of reasoning is "induction" — a leading into. You are led into the belief that the marble will be found to be white. That is the nature of the reasoning by which we get most of our knowledge. You see in- duction is nothing more than deduction with- out all the facts cornered for us. We can not know, for instance, that all the large pieces of iron in the world are heavy, because we can not bring them all into our premises, but we can infer surely enough that every large piece of iron is heavy, because all the large pieces known are heavy. If there were but two pieces of iron thus far known, we would be cautious about a judgment as to the heaviness of all iron, and would ask the chemists to analyze the samples for us, and give us some inside facts. 12 Sometimes this induction business is car- ried so far that it becomes a mere guess — an assumption, a theory, an hypothesis. Thus by a sort of induction they conclude that light travels by means of some kind of a medium, because everything we know anything about (fish in water, for example) travels through or on or in a medium of some kind. So they call the medium of light the ether, and all they know about it at present is that they have given it a name. They have at least, however, a good theory to work with, because they can explain more with it than with any other hy- pothesis thus far tried. To most persons, logic (which, you see, sticks its nose into most everything, including philosophy, psychology, metaphysics, mathe- matics, and religion) is dry and profitless, be- cause the logicians have persisted in making it as intricate and scholarly as possible. How otherwise would they have the nerve to call it "the art of thinking," "the science of rea- soning," "the art of arts," "the science of sciences," and so on? But I think there is much that is worth knowing, and a good deal that is interesting, to be found in a textbook on logic. And if 13 you are lucky enough to get hold of a teacher who knows anything about logic besides what he has memorized, you will surely not regret the time you may give to it. If you have no teacher I would advise you to go to a second- hand book store, to get four or five different treatises of the most popular kind, and to read them all just as you read a novel — skip- ping the parts you are not interested in, and not trying to remember anything in particular. Then compare the books. You will probably be astonished in various ways. You may be astonished, for instance, at the difference in the books — what is treated as important in one being slighted or ignored in another. You will wonder at the way they tear a platitude to tatters, and will be nonplussed by a lot of highfalutin. Then you will attend to what you think is worth while, and disregard that which is sacred only to pedagogues. To me what have been called the "primary laws of thought" are interesting because I happen to be fond of rudiments — fundamentals — first principles — in any kind of science or pastime. These so-called laws of thought are so babyish it may be hard for you to believe that sensible men would speak of them. As a 14 matter of fact, some men of eminence have tried to laugh them out of the books. Here they are: 1 — Whatever is, is. 2 — Nothing can both be and not be. 3 — Everything must either be or not be. Do you deny the truth of these laws ? No ? Well, then, how do you know they are true ? Oh, ho ! You now begin to smell something, do you? You see, my young friends, you must have some starting place if you are going anywhere. Even in mathematics they have laws of this kind, called axioms. I do not know that these laws are absolute truth, but I know they are true enough — at least for me. The reason I know they are true enough is that they have been reached by what is called consensus (a useful word, by the way) ; that is, they are conceded to be true by all the great men I know of who have examined them, and besides they are true so far as the power of my common sense can discover. My mind accepts them as true by induction (all the marbles I have heard of). 15 I can not establish their truth by deduction, as I can not get all the thought marbles of the universe into the bag. But wait a moment. I believe "everything must either be or not be." Is it true that a pumphandle must be either up or down? Must the falls of Niagara be either in the United States or in Canada? It is apparent, however, that the pumphandle and the falls must be or not be — wherever they are. Then if you break the blade of your knife so short you can not use the thing for cutting, it must "either be or not be" a knife, huh? You may say it is a broken knife. Very well; is or is not a broken knife a knife? When does a knife cease to be a knife? This kind of non- sense talk may be called casuistry, or sophis- try, or anything you like. You know what those laws mean, I think. It is your privilege, however, to say or believe you don't know. It is the custom with teachers to tell you that things of this kind are self-evident — in- tuitive. But that is the sort of hush-up argu- ment that makes you feel they know all about it, and that you can not undersand it until you know as much as they do. For my part, I have never been able to find any sense or 16 reason in that word "intuitive." I think all our minds can do is to concede the truth of axioms — take them for granted. Saying they are intuitive or self-evident seems to me to be begging the question. I do not believe we know intuitively that 1 and 1 make 2 any more than we know intuitively that 11 and 11 make 22. A very great man wanted to prove that he was alive, but he could not do it, so he de- cided to rest on this as a starting place: "I think, therefore I am." It seems to me that there are two kinds of truth, just as there are two sides to everything. Where there's a god there's a devil. Nature seems to work on the two principle. Life and Death. An atom can not exist alone — must be at least double. The soul of mathe- matics is not Unity — the higher mathematics furnish the proof of that. Even our senses show a double need — two eyes, two ears, two nostrils, two hands, and perhaps the sense of taste may double up in some way. Of the two kinds of truth all I have any hope of 17 knowing anything about is the outside truth — man's truth, if you please. Absolute truth — God's truth, if you like — I must leave with those who are sure they have found it. I 18 II Another plaything in logic is what they call "terms." The name of anything is a term. What do you mean by "tree" ? Do you mean a pine tree, a spruce tree, an apple tree, or what kind of a tree? "Oh," you say, "I don't mean any special kind of tree, or any particular tree, but just tree — tree — tree in general. "All right," I reply; where is your 'tree in general* " ? Now you think I am talking foolishly again ; but I insist on some kind of an answer. If you say it is in your mind, then I want you to describe it, being very careful that your de- scription shall fit every tree that ever existed anywhere. Plato flatly said that your "tree in general" must exist somewhere, because you can not possibly think of something as not anything — but he left it for the rest of us to find out where it is. I do not think it 19 worth while to argue over that snag, as it is like a good many things Plato said just to stump us. Still I must say I do not believe Plato meant that a "tree in general" actually grows some- where in infinity, but that such a tree is con- ceivable. If you can conceive it, all right. Then I look up to you as having a superior type of intellect, for I can not conceive it. Plato deified the word idea, and perhaps your intellect is able to follow his into the realms of nothingness. I think the connection between a word and the idea or thing it represents may be un- mistakable, but I think the relationship itself is beyond the reach of the mind's eye. Your "tree in general" is known in practical discussion as a general term — a general notion. Your particular tree is a particular term — a distinct notion — a definite reality. Books on logic go into matters of this kind carefully, and analyze meanings with nicety. 20 Ill A young dog is called a pup. I had a little fox terrier with very thin hind. legs. Wishing to know what kind of a dog he would be, I put him into a syllogism, this way : All dogs with thin hind legs have unusual intelligence ; My pup has thin hind legs ; Therefore he is unusually intelligent. On the strength of this conclusion, I wished to give him a name that no dog ever had (so far as my experience and observation went) outside of books, and so I decided to call him Fido. One day while capering about near a target he was shot through the mouth. As he was a promising animal, we did the best we could to save his life, and he recovered, but with deformed vocal organs. He was unable to bark, growl, and whine like regular dogs, but 21 instead gave vent to sounds that seemed more like tones than mere noises. So I took him as a curiosity to some psychologists, and asked them to examine him with a view to the pos- sibility of his learning to sing. They said that was not only ridiculous but absurd, because even if he could develop the notes, he could not develop the intelligence. "Why," I exclaimed, "birds sing!" "Oh," they replied, "that's because God made them that way!" "But," I persisted, "it has been accepted as a fact by the highest authorities in logic and philosophy, that language is necessary to thought — what you call the higher intelli- gence." "Yes," they admitted, "without language there can be no thinking worthy of being called thinking, because the notions that enter any kind of a brain through the senses (the only way they can get into the head) must be clothed in language, so they may be dis- tinct enough to be arranged as individuals in an orderly way. You can not think with- out words, or definite signs or signals of some kind that are equivalent to words. Deaf and dumb persons have been observed in their 22 dreams to think with the signs of their fingers, as shown by slight movements. They can not get away from their language when they think. A dog has no language of any kind — nothing to put around his sensations but noise." "Well," I continued, "I have read about Kasper Hauser, and I know that some of the unfortunates you speak of did not seem to take to thinking naturally, the way an ordi- nary child is supposed to, and had to be actu- ally taught to think. How about that?" "We do not doubt that," they answered; "but although the habit of thinking may have been drilled into them, they had the capacity — the divine intelligence — that enabled them to link sensations and language together into thought." "Then," I remarked, "an intelligent dog, with thin hind legs, such as my dog has, does not have the right kind of intelligence — the divine kind — to have thinking drilled into him?" "No; he has not!" "How do you know that?" Then they became sarcastic, and Fido and I went out. 23 On the way home I bought a small rubber ball, such as children play with on the side- walk. I was thinking as only one of the divine products of this earth is allowed to think. I recalled that the only word one of the unfortu- nates knew anything about at one time was the word ball. At home I played with Fido for a long time, and the moment I got a sound out of him that was anything like ball, I rolled the ball. It was a long tedious process, such as trainers of trick dogs go through, but finally he learned to love the ball, and could ask for it so that I knew what he said — I mean what he wanted. Then I touched his mortal soul (not im- mortal yet) by starving him unless he would bark something that sounded like eat — eat — eat. That was a tactical error on my part, for he almost died from overfeeding, after he learned that that particular kind of sound always counted as a home run. I am not going into the wearying details of how Fido learned the only way he could get out, or in, or get you (oo, meaning me, his master) to take a walk, and so on until he had a larger vocabulary than some of the divine beings we read about in tales of travelers had. 24 I did not stretch his powers beyond what I learned to regard as his normal limit. I gave up all hope of ever being able to teach him abstraction — that is, how to separate the qual- ities, properties, attributes, of things from the things themselves. In other words, sweetness or sourness were properties not to be separated in thought from the word milk by means of words. Milk was milk, and there was nothing else to be known about it except that it tasted good or bad. As to conceptions (concepts, in technical language) such as your "tree in general, ,, he had no use for them, and did not understand them any better than we do. Induction was his favorite style of reasoning, and he indulged in it to excess. In our walks, if there were birds in two or three bushes, he at once con- cluded by induction that all bushes had birds in them, and he would run to every bush in sight to test it by deduction. I think his telegraph wires (his senses) brought the materials of knowledge to his brain less clearly in some cases than I sup- posed, but the so-called law of compensation seemed to be there, as elsewhere. For in- stance, I believed I could see objects sooner 25 than he could observe them, and I was sure he could not make them out at a distance that was easy for my sense of sight. On the other Hand he could hear sounds distinctly that ta my ears did not exist until they became com- paratively loud and close. Of course in the matter of smelling I was nowhere with him; but I never cared much about that sense any- way, and never placed much reliance on its efforts to get knowledge for me. So far as touch was concerned, I think I was the better animal. As to our knowledge of what time and space are, I think we were on a par — neither of us knowing anything about them except that they are long or short, as the case may be. It occurred to me that perhaps the one prop- erty of extension was not enough to allow me to get any knowledge of time and space. It would seem that a thing must have at least two properties before we can know much about it. Our conversation was, of course, confined to common things, and, also of course, was all in pidgin English, not much better than that used in laundries and in the steerage of steam- ships crossing the Pacific, but the grammar was at least as good as that of some of our school 26 superintendents who write books on how to teach the untaught. One night (to make this tale no longer than Fido's) we were chatting in our rough way before the blazing gas log when I noticed that my little brute seemed slightly distrait, if not distraught. He laid his comely head on my Russia leather slipper, and with something like a sigh remarked (of course, not in these perfect words) : "I am not feeling quite myself to-night, and if you will excuse me I think I would like to retire." So I fixed his shawl on his favorite chair, where he curled up (after turning around a few times, as all his ancestors had), and was soon dreaming something unpleasant, as I gathered from his confused muttering. I be- lieved, however, that it was nothing more than the usual indigestion we all try so hard to get, and after reading a chapter or two of John Stuart Mill, the arch logician, I naturally fell asleep. When I awoke the silvery beams of a beautiful morn fell athwart the whitened case- ment. I shivered, and looked yearningly at my little pet. Poor Fido was dead! And now I say to you I was grieved — grieved in the loss of a real friend. And I 27 say he was my friend. And I say I ask no bet- ter fate than that my companion had earned. If the things that count in life are the things that count in death, I can not see wherein I de- serve more than he, for he was a better dog than I man — a better creature, with less of hate and spite and deceit and cruelty. And I say that if this mathematical point, not even a speck, in the infinity of space, which we call our earth, is ruled by an intelligence that does not allow these things to count — I say the name of that intelligence is not Love, but In- justice. Then and there I wrote his epitaph, with a beseeching appeal to logicians not to desecrate it — thus : All men are animals; Fido was an animal ; Therefore Fido was a man. I have no doubt you consider this sacrilege — a libel on the divinity of our genus. Then I must plead that I am not more base than Carlyle, the dyspeptic, who said most men are fools; or Ouida, the forgotten, who said that the more she learned of men the better she 28 liked dogs; or a minister out our way, a Scotchman, who said over the sacred desk that men are like sheep — as if men ever were so bloodthirsty, or so silly, as sheep! Be that as it may, you will find two things in logic — two central thoughts: 1 — There is nothing great in man but mind. 2 — There is nothing great in mind but language. And it is not necessary that language should be actually articulate; for it is nothing more than expression, whether in sounds, signs, ges- tures, grimaces, touches, or signals. But it is articulate language that has given man his power. All articulate language has been traced back to a few roots, and it is believed that these roots are but an advanced stage of a simple language, and so on back to the brute man. Some think man was "endowed" with the power of speech, others that this power was driven into him by the forces about him. We are all entitled to a guess. And why do birds have wings? No doubt you consider my dog story very absurd. If so, then you ought to believe it ; for 29 I think we can prove that the more absurd a thing is the more we struggle to believe it, or rather to make others believe it. Witness the great systems of thought that have been built up on the idea that a son can be the father of himself, and that if you have a bellyache you haven't got it. 30 IV But after all you must believe with Francis Bacon that man's lesser wants come first. With that as a premise, the question with you at the present time may be: Of what practical benefit is logic? Here is one answer: It helps you to find and describe, so others can see it, an error in reasoning, whether that error is in the use of a word, or in the way words are combined to deceive you. It may enable you to put your finger directly on the sore spot, without feeling all around for it. You put a tag on the error — give it a name. That department of logic is called the Fal- lacies. I will start you with a jaw breaker — Hysteron proteron. I wish they had called that thing what you and I would have called it, namely : Putting the cart before the horse. Here is a sample: Our cat is well and lives. Strictly speaking this is absurd, and not fal- 31 lacious. If she is well, she lives, but you avoid the laugh if you put the cart where it belongs, thus : Our cat lives and is well. You may say : Be happy and you will be good. That gives me a chance to quibble, although I know very well what you mean, and that you have mere- ly put the cart before the horse. If there is but one thing I am sure of, that one thing is that quibbling is detestable. All words are powerless in the presence of a quibbler. There are two ways to get at the understanding of a quibbler. One is to use a club; the other is to admit he is right. The former is quick, effective, and appropriate; but it is not advocated in logic. There are lots of things logic can not reach. For instance: My wife read to me the other night from John Wanamaker's 1913 Diary this (to her) pleasing remark: "It takes years of idleness to make a good checker player." All I could say was: "I hope that means me." Again: A Flatbush delicatessen man said recently to me: "The best caviar never gets out of Russia." I let it go at that, for logic could not go out and get the facts for me. Once more : Mrs. Call sent me to the gro- cery store to get half a pound of the best cheese. 32 While there a little boy came in and said : "Mr. Griemsmann, mother wants to know how much you charge for twenty-five cents worth of eggs." I thought I had in that a fine new fallacy, but learned the boy's mother merely wanted to know how many eggs the grocer was now selling for a quarter. Now here is a case in which logic shows its usefulness. Henry George, the author of "Progress and Poverty," was a tough little nut in controversy, as any one knows who has ever heard him challenge an audience. He once ran up against a statement by one of the big guns in philosophy that he had to beat. As it occurred in a book, he could not get at it by ad hominem argument (that is, combat the man instead of the statement, as a shoe clerk fits the head instead of the feet of a customer) ; so he went to some book on logic to find out how to get at the thing. Then he nailed the error — put a tag on it so persons of culture could see it for themselves. He said it was a case of "undistributed middle." The statement he demolished was like saying, "Peo- ple are crazy," instead of distributing the meaning — confining it in some such way as this: "People in insane asylums are crazy." 33 Mr. George's problem was not simple like this rough example, but the logical key he used un- locked the complicated mystery. Logic, you see, showed him how to go at it, just as dentistry shows the scoundrel with the little picks how to go at a bad tooth. The technical words used in logic are dis- heartening, of course, as in all studies, profes- sions, or pastimes. If you say, "I can not saw wood, because my grandfather was a sea- captain," I might reply, "That has nothing to do with the matter" ; and you could come back with, "Why hasn't it?" But if we knew something about logic we could stop the foolish controversy at once by observing that we had before us a case of Post hoc ergo propter hoc, meaning literally, "After this therefore on account of this." Perhaps you do not take in the full mean- ing of this kind of talk. Well, don't blame your intellect or your training hastily, but re- member the drill of the awkward! squad in all fields of knowledge. Fallacies in thinking take many forms. It is mere pedagoguery to give a special name to every form of fallacy. "We are seven" has long been the popular estimate of their num- 34 ber, with some rules and a few phrases similar to those I have already employed to serve as useful tools. Let us examine the seven kinds, which are known as the Material Fallacies of Aristotle. School manuals may say, "Material fallacies lie properly beyond the province of logic," but my guess is, No. 35 Material fallacies are those found in the matter — in the meanings of the words — rather than in the breaking of some rule of logic. We will start with an old-time sample. 1 The meat you buy is raw ; The meat you eat is the meat you buy ; Therefore the meat you eat is raw. This shows what is called the "Fallacy of Accident." The word "accident" means in this example that the word "raw" in the first line stands for meat in the shop, while in the second line it is forced to stand for meat on the table — two different conditions or "acci- dents" of meat. 2 Harmful things are to be avoided ; Dancing is harmful ; Therefore dancing is to be avoided. This shows the fallacy of "Secundum Quid," which means, Under certain conditions. The 36 sense of the second line is that dancing is harmful — under certain conditions, as when indulged in to excess. This is practically the same kind of fallacy as No. 1, but the books usually make a species of it. There is no proof that matter is real ; If real, we could find the proof ; Therefore there is no matter. This is not a correct example of No. 3 fal- lacy. Logicians agree that the nature of this fallacy is such that it does not permit of a precise example in the three-line form here shown. For the very purpose of the fallacy is to shift the attention from the point, and lead you to believe that the point has been established. The point is blinded from you, or you lose sight of it, or it is ignored, and the opinion you form is an "Irrelevant Con- clusion." For instance, when some one against whom you have a grievance makes you laugh so much that you think he is not a bad fellow after all, you are a victim of this mighty fallacy technically known as "Ignoratio Elenchi." What has making you laugh to do 37 with the fact that the other fellow may have lied about you? Some persons see no error in reasoning such as the following: "Abra Cadabra can not be a wicked man, although he did wreck railroads and corner food pro- ducts, because he is known to be a model husband and a loving father." There are various ways to get at you so you may think I have proved that matter can not be real. Perhaps I may shift your atten- tion to the chemistry of matter thus : A French scientist has shown that by counting the mole- cules of hydrogen gas at the rate of one mole- cule for every one-millionth of a second, it would take more than a thousand years to count all the molecules in a portion of hydro- gen gas not larger than the head of an or- dinary pin. But molecules come from atoms, and atoms from ions, electrons, positive and negative effects, and so on down to pure force, which of course is nothing but a manifestation of will ; and moreover this physical analysis is buttressed by the findings of the latest school of Continental philosophy, who say that mat- ter is but a gross form of mind. Hence you may see for yourself that there is no such thing as actual matter. 38 If you are led in this way to commit intel- lectual suicide, you have been kept in "ignor- ance of the refutation," as logicians would say. Now it was decided by philosophers hundreds of years ago that there is no real matter. But about two hundred years ago one of their num- ber made another discovery, which shook the very foundations of the world of thought. He proved that not only is there no such thing as matter, but also that there is no such thing as mind. What happened then? Why, what could happen? The inevitable — a deadlock in philosophy. And there has been nothing but nothing ever since — except for those who be- lieve that the knowledge we get through our senses is the only real knowledge we can get. So if you wake up in jail sometime, you may have the consolation of thinking: "No matter, never mind." The fallacy of "Ignoratio Elenchi" is so comprehensive that in some books on logic a dozen or more pages are devoted to illustra- tions and explanations of its devious forms and ways. Steer your victim off the track, and you have him in the woods where you want him. 39 4 Simplicity is the essence of immortality; The soul is simplicity itself; Therefore the soul is immortal. Here (and of course the ideas thus awk- wardly forced into three lines should be pre- sented in a labrynth of words) I have tried to prove one thing by virtually the same thing — I have committed "Petitio Principii" — I have "begged the question." To "beg the question" has nothing to do with pleading to be believed. The pivot on which this style of fallacy most frequently turns is what is known as a "ques- tion-begging epithet," usually introduced in an offhand way as if only incidentally important. Thus, if you tell me you can not please your teacher because she is tyrannical, you have begged the question, which is: What have you done to displease her? Our common talk is apt to contain a sprinkling of question- begging epithets, and the person who finds them gives us the impression of being too keen to be humbugged in the ordinary way. What is called "reasoning in a circle" belongs under this same head. The circular style of argument is a great favorite with advertising 40 solicitors and other business men. Reduced to its lowest terms it looks like this : Success brings advertising; I advise you to advertise ; Because advertising brings success. I again ask you to remember that fal- lacies which are obvious when forced into the three-line mould are not always manifest when shrewdly padded. Baseball is the most popular American game ; Cricket is not so lively a pastime ; Therefore baseball is better than cricket. This shows in the rough way the "Fallacy of the Consequent," technically termed "Non Sequitur" ; that is, it does not follow. From what goes before in the argument, there is no valid reason for the conclusion that baseball is a better game than cricket. This might be called the fallacy, for the word fallacy implies a conclusion that is not warranted by the premises. 41 The Emperor sneezed ; Then there was an earthquake; Therefore the Emperor should have been careful not to catch cold. Here we have the "Fallacy of False Cause," expressed in Latin by the phrase which means "After this, therefore on account of this." Many superstitions are founded on this fal- lacy. Many convictions in every day thinking are due to it. Have you left off beating your mother? You ought to be ashamed ; Therefore I want an answer. This shows (the first lipe being all there is to it, and the only way the ancients stated it) the "Fallacy of Many Questions." It is on its face absurd, because you can not answer the question directly without admitting something you never began to do. It is two questions put in one, and is a favorite trap with cross- examiners : "Did you tell any one what you 42 saw ? Yes or no, now ; remember you are under oath." It is worth while to be able to explain by a logical term, "The Fallacy of Many Ques- tions," why it is not a fair question, instead of being obliged to go into a detailed demonstra- tion of its unfairness. 43 VI Fallacies are not illusions. An illusion is an unsound conclusion due to a flaw in the mind's eye — a mistake of fancy rather than judgment. Fallacy is delusion — the reasoner fools himself. Sophistry is fallacy, but of the kind that is hard to get at — subtle; the rea- soner fools you. The ancients loved sophistry. A clear headed writer has said: "When Bacon had analyzed the philosophy of the ancients he found it speculative. The great highways of life were deserted. Nature had scarcely been consulted by the ancient philosophers. They had looked within, and not without. Bacon broke the bars of the mental prison house; bade the mind go free, and investigate nature." Their most famous subtlety puzzle is that there can be no such thing as motion. For, they said, if an arrow moves, it must move in the place where it is or in the place where it 44 is not; and if it moves it can not be in the place where it is. What's the trouble? Logicians have used reams of paper to explain the thing. I will quote the conclusion given in the leading text book of the present time, thus: "The body moves between the place where it is at one mo- ment and the place where it will be at the next moment." If that explanation satisfies you I would ask you to state where the arrow is "between" those two moments. Personally speaking, I want something bet- ter than that to give ease to my mind. So I am obliged to manufacture a tag for this kind of trick with words, and it suits me to call it the "Fallacy of the Humbug of Infinity." That satisfies me, for I am content to believe that the powers of my mind are limited, and I am not bothered by the hopeless task of try- ing to split up a moment of time or a portion of space into smaller moments and smaller portions, and then keep on halving them. It's the same old tortoise and the same old jack- rabbit. If you know what infinity is, for 45 heaven's sake don't tell the rest of us for we don't want to know. A man once told that secret in a book, and he has never been for- given. 46 VII You have seen from the childish examples I have borrowed or made up (perhaps not in all cases technically perfect), and forced into the form of three lines (for the sake of uni- formity) that the fallacies of logic run into each other in a confusing way. You see they are not really distinct, in the sense of discon- nected and clear cut. You see that, as Thom- son in his "Laws of Thought" puts it, "An attempt to reduce to its technical forms the first few pages of any scientific work has gen- erally ended in failure and disgust." And you see that (as some logicians have done), they may all be pressed into a few moulds, perhaps into one mould. The truth would seem to be that if logic is an exact science it is a very simple one. It is all about words — nothing of any great im- portance but the meaning of words. When you consider that the word "weak," for in- stance, belongs to twenty-two classes, accord- 47 ing to a book of synonyms, and has ninety- eight meanings (and may have many more shades of meaning) , you see that logic is more a science of words than of processes of rea- soning. I would like to find a book on logic of this kind: Section 1, in large type, made up of winners only. Section 2, in type so small I refuse to read it, made up of also rans. Thus I would be able to be sure the sheep are separated from the goats. A friend told me of a young lady who wished to know something about logic, in spite of any acquired prejudice she may have had against using it. They gave her tomes. Her name is not Lydia Languish, and she said: "How the devil am I going to pick out what is worth knowing from all that rot?" Old Davies, the mathematician, tells us in one of his prefaces that "Science is the high- est class of knowledge." Then he shows that science deals with simple things, leaving the complex matters to art. You and I want the thread, not the web of knowledge. To change 48 the metaphor, we want our facts sifted. As Davies adds : "To begin at the right place and proceed in the right way is all that is neces- sary to make a subject easy, interesting, and useful." You will find in the books on the curiosities of mathematics that it can be proved by a regular, rigorous process that 1 equals 2. Nothing but logic can knock that out of shape. As a study logic is now under a cloud. Aver- sion, if not contempt, appears to be the feeling regarding it. Too bad! Too bad! For real logic is good for us all. It helps us in our hunt for error. If everybody was compelled to study logic, I think there would be fewer patent medicine religions; and I believe the quarrelings, the bickerings, the contentions, and the disputes that lead to so much bitter- ness would be shorter and less fierce.* A wise man has said that half the verbal wars in every-day life come from misunderstandings in words. *Since writing this I have been annoyed by a talker — a gas tank. I turned on him, like the worm, and demanded what he was after: "What are you trying to do with me? What do you want — information?" "No, not exactly that," was the honest reply. "I want what everybody wants — I want the clash I" So I have been forced to think of revising my opinion of logic as to utility by giving some consideration to futility. 49 The forms and diagrams and details of logic are undoubtedly fine intellectual playthings. For this reason, perhaps, the writers on logic and the teachers have pushed the thing far beyond its commonplace limits. They have tried to make it like religion, because it does spread over the fields of metaphysics and phil- osophy, and they have bloated it with worth- less matter of controversy. The professors, most of them, care little for the substance, but wallow in the moonshine of the subject, They put erudition first, gumption last. Hence these tears ! 50 VIII Do you believe in luck? Logic treats of luck, calling it causation, doctrine of probabilities, theory of chance, or almost anything but luck. Spread out the thirteen spades of a pack of cards in a semicircle (or an open loop) on the table. I say spades, but it's all the same what suit you use, as a jack is a jack, a seven a seven, and so on, and nothing else. Now ask your friends, as many of them or as few of them as . you please, to put some money on any of the cards they hope will bring them luck. They have the privilege of betting on as many cards as they like, and as much as they like up to the limit agreed on, but we will say, for the sake of simplicity, that they all choose to bet on but one card, and that that one card is the four spot. Mrs. Burnett's Fair Barbarian said : "Father generally comes out all right, because he is lucky, and knows how to manage" — which has no bearing on the case at present. 51 Now you, being the bank, take a complete pack of cards, shuffle them, and put the com- plete pack of fifty-two cards face down in front of you, so all the players can see it. Then you say, "Are you ready?" Then you take the top card off and place it face up at the right hand side of the pack, and then without waiting you take the next card off and place it face up at the left hand of the pack. It's all over now but the shouting. You and your friends are gamblers. You have all played the game of faro — the most intricate, the most fascinating, and positively the finest game of chance the Lord ever in- vented. If neither of the two cards you took off the pack is a four spot there is no result. Then you ask your friends whether they want to shift their money to other cards or to increase or decrease their bets, or withdraw them, or let them stand. They all (for the sake of simplicity, again) say, "No; go ahead." Then you take the next two cards off the pack, as before. This time we will say (so not to keep you on the anxious seat) one of the two cards is a four spot. Which one? 52 If it is the second card, the one you must place at the left of the pack, you must pay all your friends dollar for dollar as much as they put on the four spot in the semicircle. They are lucky. For if it is the first card, the one you must place at the right of the pack, that is the four spot, you would win all their money. That is all there is to a faro bank, except the details. But, ah ! what a complex mesh comes from those simple elements! Suppose both the cards you last took from the pack are four spots, what then ? Why, you take half of all the money on the four spot in the semicircle. It belongs to you, because that is the "percentage" you deserve for run- ning the bank. If a friend does not like that all he has to do is to keep his money off the table until he has seen three of the four spot cards come from the pack, and then bet on the single four spot card he knows is in the un- finished pack before you. No percentage for the bank then, except what is called the "per- centage of capital" — the bank's large capital against your small fund — and that has no ef- fect on a single bet, but only in the long run. If you call that an "imaginary advantage" for 53 the bank, you should remember that Lasker wins at chess by accumulating advantages so slight that each in itself may be regarded as imaginary. The faro bank dealer accumulates his intangible advantages this way. He may (and usually does) wipe your small fund out at some time on a bad run of luck, and he keeps it; for you then have no chance to get it back on a favorable run, unless you get some more money. The dealer has more runs of luck before him to rely on than you have. Hence all gamblers declare that the one who "has to do the guessing" has the "short end" of luck at faro. And they use that phrase care- lessly in other kinds of chance — calling head or tail, for instance. Really, however, the one who has to "do the guessing" has the "short end" in calling head or tail only because the other fellow may have an opportunity to manipulate the coin, while you have no such possible opportunity. To a novice a faro bank is a mixture of mysteries. Here is the dealer, with a crown- less straw hat on his head. In front of him is a small plain steel box holding a pack of thin cards face up (instead of face down, as I have put them in my explanation). He pushes 54 the top card gently through a narrow slit in the box. There is a steel spring at the bot- tom of the box, under the pack, which keeps the pack in place as the cards decrease in number. The chips (or real money if preferred) are strung out in the utmost seeming confusion. On some cards there are no chips, but merely markers, little pieces of bone or ivory, which stand for the same bet that rests on some other card. There are chips between cards. There are chips stepping down and trailing out in such a way that they include the card they are on, skip another and take in a third. There are chips back of a card. There are chips on the corner of a card. There are chips, so far as the novice can make out, not related to any card — seemingly mere "sleepers." There are "coppers" on some of the heaps — little counters which mean that the bet is that the card will fall on the right hand pile instead of the left hand pile. In the midst of the mess there may be currency, perhaps a bank note twisted up (for luck) like an old-fashioned lamplighter. The dealer eyes that lamplighter critically, and he may order it untwisted to see that it does not exceed the limit placed by the bank 55 on any single bet. There are plungers, you know, who believe the way to woo luck is to risk all on a single turn. It is not the business of the bank to do that any more than it is the business of a national bank to do it. The own- ers and employes of a faro bank believe in business principles, and when they want to play they go to some other bank. There is a strange jargon in constant use — soda, hock, double out, single out, both ends against the middle, cross colors, pot, call the turn, cat hop, turn the box. In fact, the vo- cabulary is large, and is less open to misin- terpretation than any other class of technical terms ever devised. The entire slang dic- tionary, what is known to truly good people as the vulgar tongue, prevails even among the "gentlemen rounders." They do not speak of a watch, a chain, an umbrella, or a leg, for in- stance, because, while those terms may be good enough for logicians, they are not precise enough for gamblers, who avoid all cavilling «md quibbling by saying, super, slang, mush, and shaft. There are nods and pointings and glances and ringer taps to take the place of promises to pay. There are borrowings not only from 56 individuals but from the bank itself. "Will you stake me?" is the formula. All contracts are made by the answer to the question, "Does it go?" Would a gambler deceive you, or cheat you, or rob you ? Yes, because he is a human being, and has, or had at one time, a divine soul that might have remained in the immortal class. But (and I hope you will not believe me) he would not find the same joy in doing you up that an honest business man would. You see, a gambler has the absurd notion that there is something worth thinking about besides piling up money. He likes to pile up chips, and when he gets more money than he needs he has no end of fun in getting rid of it. And not being allowed to have the kind of god that was manu- factured for us by the divine disputers of cen- turies ago, he takes the next best sort of idolatry and worships at the shrine of Fun. There may be fine free lunches — perhaps turkey, lobster salad, celery, olives, etc. There are perfecto cigars (toss a white chip to a waiter), and there is some drinking, but not much (nothing like the noon drinking of busi- ness men), as the interest in the game is stimu- 57 lant enough for most all but the gilded youth and the guys. There is a "look-out" sitting in a high chair to keep track of all happenings. There is a "case-keeper," who pushes the buttons of a "cue box," a kind of abacus, so everybody may see how many and what cards have come from the dealer's box. And lastly (to skip other details) there are the "books." It is the "book" that makes faro a scientific game of chance, if you will let me use that term without arguing about it now. The "books" are the records of exactly how the cards have behaved — I mean how the cards came from the box. A "book" is a sheet of thick soft paper, say a foot square, ruled, and with the names of the cards in the "layout," ace to king, in the left hand margin. As fast as the cards come from the box, they are checked off on the "book" in front of each player wanting to use a "book" (and most real gamblers do) , with a straight up and down mark for a card when it falls on one pile, and a naught for the other. A card is said to "win" or "lose," and when you "copper" it, you bet it will "lose." Then, strange as it may sound, you win. 58 Now we are off. What sense is there in keeping track of what has happened in a game of pure chance? Can there be anything in it but the superstition of ignorance? Are there really any favorable or unfavorable circumstances to consider ? Logic, mathematics, and common sense say NO. Well, the gamblers must at least imagine they have some justification for their "books." They do not study them for no reason at all. How do they look at the matter? Farmers in the old town of Flatlands used to get ready to plant potatoes in March. With- out doing it deliberately, they reasoned this way : The soil may be in a favorable condition during three or four days in succession next March, as we know from past experience of our own and others. Some years the weather has been bad practically all the month, and we could not plant. We are justified in taking our chances, however, and getting ready, for the earth and the sun move according to certain verified and accepted laws. Now the faro player has no verified laws to base his judgment on. All is random. But being a reasoning animal, he says : Observation 59 and experience are good in all but random mat- ters. I will try them even in random matters for two reasons: First, because they give an intellectual atmosphere to the play that adds to my pleasure ; Second, because they may be use- ful to me in spite of the fact that there is no law, natural or unnatural, at work, but only a multiplicity of causes that by their nature are not subject to rule. When I make a book showing how the cards acted, so to speak, up to this moment, I observe that they do some- times come out in an orderly way. I see that the orderly way is a streak. If I can get in on one of those streaks, I shall be lucky, and I know how to take advantage of the circum- stance. Perhaps a card appears to have acted in a very unusual way, so far as my observa- tion and experience go, and I may be able to catch it before it begins to behave better. You may say (and I unreservedly agree with you) that our gambler is relying on fancy, which is not true reasoning at all. That puts me up a tree, if I am trying to account for the use of "books" in faro, and I may as well admit I am feeling my way in that direction. There is an apple on the tree of knowledge. It is of a newly grafted species, and may be 60 called the "pragmatic pippin." William (brother of Henry, who is also brother of William) James used to know a good deaj about that fruit. He said that if you put the juice of pragmatism on something you are in doubt about, you may be able to find truth where reason fails. How? By observing the result. If the thing effer- vesces — that is if it works — it's true. Does our gambler's hindsight style of reas- oning measure up to requirements? Does it work out practically? The gambler believes that it does to the extent that he is more likely to be lucky (if, as the Fair Barbarian says, he knows how to manage) with a systematic method based on past performances than by relying solely on what he calles "dumb luck." Random guessing at haphazard events he regards as risk with- out hope — and hope he regards as an element of success. Strange! Strange! but perhaps pragmatic- ally true. Fact: In 1880 I was in a small city in the middle South, in an open-to-all faro bank, with some business acquaintances. There were 61 many bets on the table. There was not a bet on the jack. I looked at the "book." The jack had fallen on the losing pile seven times in succession. I reasoned that by all the laws of nature, and the eternal fitness of things, it must change its behavior soon. I put a dollar on it to win the next time it appeared. It lost. I put another dollar on it to win the next time. It lost. I did the same thing again. It lost. Then I put five dollars on it to win. It lost. I followed that crazy jack in the same way until every cent in my pocket (about $50) was gone. It lost seventeen times straight. The players glanced at me in a way that made me feel ashamed. A friend said : "What did you do that for? Didn't you know how that jack was acting? Don't you know any better than to buck a card?" "Oh," I cried, "that's all poppycock ! A card has no control of its actions. Isn't this a square deal?" "Perfectly ; and besides common sense would tell you that they would not bother over your small bets in a game of this size. You are too inexperienced in his kind of business. This is not like chemistry or mathematics. Do you 62 think gamblers are fools? Do you think their experience counts for nothing at all against your logic ? Why didn't you keep away from that card, as the other players did, or go with it until it took a turn, instead of buck- ing it? Even that nigger over there cracking ground peas has more sense than you have shown this evening." The following famous request for informa- tion was submitted to a learned society years ago: "Why is it that a dead fish adds to the weight of a tank of water and a live fish does not?" This gave a fine opportunity to the men of science to elucidate by quaternions the co- efficient of imponderosity of motion in water. But a gambler who knew nothing of real science put the formula of his kind on the inquiry thus : "Is it a sure bet that it does not." That is all I ever learned about the theory of luck, but I guess it is as much as any one else knows. Luck, chance, or probability, as it is called in logic, has been defined as "a conclusion for which there is some evidence, but not enough for certain knowledge." It would seem to be genuine common sense to believe that what 63 has happened to a card in strictly haphazard events has absolutely no bearing on what may happen to it. The gambler, however, believes in a theory of expectation. You must decide for yourself whether the mind has a logical right to deal in expectation in haphazard events. The unknown gods, CAUSE and BE- CAUSE, are hydras that rule the realms of Future Realities. 64 IX Hypothesis ! A shadow is not a positive thing — not a substance. It is a negative thing — an effect. Force is not a real substance — not a thing in itself. It is an effect — a result. Without real things, actual substances, having length, breadth and thickness, there could be no shadows, and there could be no forces. We talk about force as if it had an actual bodily existence, like air or water, for the same reason that we talk about the sun going round the earth — for convenience in express- ing our ideas in these matters. More fre- quently, however, we regard force as a kind of physical affair, which is at once no thing and some thing. That is an absurdity, so far as the human intellect is concerned, and be- longs in the list with faith, in which reasoning has no authority. I can not believe that force 65 is a supernatural power. Nothing supernatural has been so demonstrated that we can accept it without doing violence to our reasoning, our understanding, our common sense. Physics ends where metaphysics begins. The borderland is confusion compounded. The universe (the world, the stars, and all that in them is) is supposed to be swimming in a prodigious sea of ether (said ether having no weight). The gambler's theory of expec- tation is like a sure bet, in comparison with this notion of a sea of weightless ether. If force is a result — an effect, that leads to other effects, as the blow of a hammer leads to compression, heat, and sound — what produces the effect called force ? The answer here made (just for the sake of trying to manufacture an hypothesis out of nothing) is — vacuum. The force with which we are most familiar — so familiar that it seems like an intuition — has been named Attraction of Gravitation. That name serves the purpose for which it was intended. It answers questions. It assumes that there is a central power of some unimag- inable kind in each particle of matter which pulls on the power in every other particle, the 66 strength of the pull being determined by the size of the masses of particles and distance. The labor of this mysterious power makes the apple fall from the tree to earth. This is a natural world, so far as we know, and there are no powers operating on or in it that are not natural, as opposed to supernatural or incomprehensible — no forces that are be- yond the possibility of our understanding. Such at least is the assumption here made. Gravitation is then (it being my turn to guess) caused by vacuum, if force is caused by vacuum, and vacuum is nothingness. For force is force, no matter how it may manifest itself. It is not reasonable to say that one mass attracts another simply because they are masses. One mass must be doing something to attract another mass. If everything in the universe were absolutely still I can not con- ceive that there could be any force of any kind. What set things in motion is a question that is arbitrarily ruled out of this discussion. Mo- tion there is, and if it can not show itself in one form of force, it can in another, no mat- ter whether you call it energy, or electricity, or heat, or gravitation, or what not. 67 As an illustration of the effect of vacuum, let us think of the force called wind. The atmosphere has vacuum pits (not real vacuum, of course, but vacuous) at various times and places, which must be filled by the free atmos- phere near by. The particles of free atmos- phere are in a state like the particles in a compressed sponge, and spring forward to their normal extension. In rushing to fill the hole in the air they produce the effect called wind. Our senses telegraph the news to our brains, and we recognize force. The same effect is seen in rivers. They flow down because the particles of water are stretched apart, and one particle springs into the vacuum pit left by the particle ahead of it, just as in a row of bricks, the force that starts one is communicated to all, and finally passes to the earth without further noticeable effect. The vacuum in the row of bricks, however, seems to be behind instead of in front of par- ticles, as in the river illustration. But that im- pression perhaps comes from our inability to think of a brick as anything but a unit, that is a single big particle. We should bear in mind what we know to be a fact, that a strong force overcomes, so to speak, a weak force, and that 68 the strong force is applied at the top of the first brick. This overcomes the equalized power in the vacuum surrounding each par- ticle in the top of the next brick, and one particle is drawn forward toward another the same as in the case of the river. Thus one mass appears to move another mass by what we call shock. But shock must do something to the par- ticles in the brick. Then, you say, that original strong force (which we are not trying to account for now) has to overcome some sort of resistance, and consequently its power must diminish. So that if we make our row of bricks long enough the original force will be so decreased that after awhile it will be offset, and the bricks will cease to fall. What then becomes of your hypothesis? Now, an hypothesis that can not be knocked out by an argument would be nothing more than a mere fact. But my hypothesis is not yet a dead one. I know how to argue, too. What happens in our row of bricks is this: The original power applied at the top of the first brick would decrease and come to a state of rest but for the reason that the vacuum power around the particles at the bottom of the bricks 69 pulls in the backward direction as the bricks tip over. If you could apply your original power at the bottom of the first brick (leaving friction out of the question), they would all tumble the other way. Then, you say, if the original initial power were applied to the middle of the first brick, they ought not to tumble at all. That I do not deny. Every particle in a brick is in a condition of inconceivable motion, but the time of the ac- cumulated effect is perceptible because we see the brick as a mass. As the particles in the top of a brick move in the forward-downward direction and those in the bottom of the brick move in the backward-upward direction, the initial energy is conserved to the end of the row. So you see we have no use for that pre- posterous "imponderable ether" to explain what we call Nature. Gravitation, light, sound, and all motion become effects we can under- stand. If you start the first brick in a row extending from here to the dog star, it would take a long time for the bump to be felt by Sirius. Same thing if you use a bar of iron instead of*a row of bricks. Same thing with 70 light — it needs time. Same thing with gravita- tion — not instantaneous, though it may seem to be so. One trouble with my hypothesis is that it is based on another hypothesis — that matter is composed of particles (little bodies, Newton called them). Some persons contend that mat- ter (admitting that matter is real) is not "discrete" (composed of particles), but is "continuous," as water appears to our sight to be. You must decide that question for yourself. But granting that the universe is composed of particles, and that those particles are never at rest, we can believe that there is a vacuum hole where a particle was, and that the reason why the next particle moves is because it is try- ing to fill that hole. What started matter going is the chief thing we are all trying to find out, and shall sometime discover, whether we know that we know or not. You are at liberty to state an hypothesis in any way you please so long as you do not change the principle. If, as the popular saying has it, Nature abhors a vacuum, and if the particles of matter are forever struggling to fill the void in which they exist (thus breaking 71 down from overwork into decay and evanes- cence), the vacuum in a toppling brick is driven ahead (for it must go somewhere unless you can annihilate it), and the particles go forward by suction. It is believed by some that there was, there is, and there always will be just so many particles of matter and just so much void. We are now face to face with meta- physics. If an irrestible force is exerted on an immovable object, what becomes of vacuum? That's easy ! It slips back into infinity where it belongs. The difficulty of explaining why a large mass of little bodies appears to attract a small mass of little bodies, as a whole, is a matter of detail we shall not take time to examine. I feel that I have done my duty in illustrating how an hypothesis in logic may be made. If you will get up an hypothesis or two, you will find that you have had a share in the fun of thinking, which, after all, is the best part of logic. 72 X The motive is the man. I mean by this that if I can find out what you want to do, I shall know what kind of a fellow you are; for I believe man will do what he wants to do if he can. To what extent the little ruler sitting in the chamber of your brain, called EGO, is able to control the struggling forces around him I know not. We have now come to the question of Method. I prefer to regard it as a practical question. I shall here confine it to one item — how to get the information you want. It is the habit of our teachers to tell us to begin at the beginning, and advance step by step. They regard knowledge as something like a rolled up map ; and tell you to unroll it slowly. I do not think that a good way to study geography, or anything else. It is the inductive method abused. I want the whole map spread out before me. I want to be able 73 to get at the motive. I do not want to be lead. I want to see what I am bound to come to — to know why and where I am going. So I (and many others have the same trick) generally read an important book or article backward. Then if it is worth while I read it forward, with a clear understanding. "What are you driving at?" is the question we want answered first. If you take up the study of astronomy by beginning with atoms and advancing step by step to the limits of starry space, you can not see the significance of your first steps, and your teacher keeps you filled with doubt and confusion by answering your inquiries in some such way as this: "Learn what is before you, and you will see what it is all about later." There is sophistry in that. I will use a homely illustration so you may at once judge whether you agree with me or not. We will say that you want to learn to play chess. Your teacher begins by showing you how the pawn moves. Then you learn how each of the superior pieces moves. Then you learn how to capture, how to castle, how to mate, etc. You learn that the pawn moves straight forward one square at a time, or on 74 its first move two squares, if desirable; that it captures diagonally ; that it may be captured in a peculiar way as it passes over the two squares ; that it may change into come superior piece when it reaches the opposite side of the board. These things and many others you learn without seeing their significance, and you see nothing but confusion ahead of you. Now let us try the other method. I ask you to play a game of chess with me. You reply that you do not know how to play it. I say, never mind, let us play. So we play a game. When you go wrong by making an illegal play, I tell you to do something else. You quickly learn what you must not do and what you may do, for the actual playing dissolves your doubts — makes clear to you the points that are so clear to me I would not think of mentioning them. In the step by step method I might regard you as stupid, and treat you with impatience, if you did not see these points in advance. "Why," I would say, "I told you in the beginning," etc. But by thus working backward a few times, you learn the game by absorption, or as the farmer said, "unbeknownst." You see the "why" of the primary steps. 75 In a little old book on sleight of hand and conjuring I used to read when I was your age there was a trick that greatly mystified me. It was said that if you hold the beak of a farmyard rooster against the barn floor, and get some one to draw a chalk mark straight away from the beak, you may then take your hands off, and the rooster can not lift his head. Our text book makers, it seems to me, are obsessed in the same way by their vaunted "step by step" method. It is obvious, how- ever, that their books would stand little chance of sale unless made up in accordance with the accepted fashion. I would not like you to get the impression that I am trying to imply that men are like roosters or sheep, for I prefer you to believe that I consider the idiosyncrasies characteristic of types of peripatetic creatures that evince plotoplasmic inferiority to a subsequent — but I haven't time to finish that sentence now, and you know well enough what I mean, anyway. They say the blond esquimos can count no higher than seven. It would probably be a slow and unsatisfactory process for them to advance step by step to eight, nine, and so on, for they would not be likely to understand 76 what you are leading them to, or how far they had to go. On the other hand, if you put a hundred pebbles all at once before them, they would have a definite idea of what you are up to. The passwords in the "step by step" method are : "I don't know where I am going, but I am on the way." 77 XI Logic needs grammar, and grammar needs logic — a lot of it. Thirty years ago a New York judge asked for some documents, and the court officer who passed them to him said : "These is them." That is bad grammar. Why? It is not proof to say that it does not sound right. A grammar is a book of rules about words. An English grammar is mostly a book of exceptions to rules about words. The rules tell you how to hook words together. If you do not hook them up correctly the harness is a misfit. There is much folderol in grammar. There is more rubbish in those books than in a far- mer's attic. Grammarians hate to let go of anything. They hold on to the grammar of Latin as their 78 model. In English it is: we love, you love, they love. In Latin it is: amamus, amatis, amant. In English the words we, you, and they are separate words. In Latin they are endings, amus, atis, ant. In English it is: a dear boy, a dear girl, a dear house. In Latin it is : bonus boy, bona girl, bonum house. Latin needs a grammar ; English does not — that is, English does not need patterns, moulds, and models, because our language is, for the most part, a language of lumps. We do not have to shape it to make it fit. Jack is plain Jack wherever you find him; not Jacki, or Jacko, or Jackum, or Jackorum. Our grammarians love scholarship, and adore scholasticism. They prefer learning to knowledge. They have aped the classics, and have forced us into their habit. What I have told you they tell you — but not so you would notice it. You must read their private opinions, prefaces, notes in in- conspicuous type, and what they say between the lines, to get at what they think. All the big fellows say what I have here echoed. Note this hidden remark of an honest kicker : "The monstrous absurdity of marshaling the 79 five modern English verb forms into divisions, brigades, regiments, and companies," etc. They all admit that English is largely a grammarless tongue. Right here is a snag — what is grammar? Does it legitimately include spelling, punctua- tion, derivation, versification, rhetoric, and what not ? Yes, if you stretch it. But you and I think that the business of grammar is to tell us how to classify words into families, and how to make them behave without quarreling. We know that there is a noun family, and that their helpers are called adjectives; a verb family, with helpers called adverbs; a conjunction family, with their assistants called preposi- tions; a pronoun family, ready to take the place of a tired noun; and an interjection family, eager to show feeling as substitutes for gestures. In the sentence, "These is them," all the words are at war. In the sentence, "These are they," all the words are at peace, like little birds in a nest. If you refuse to learn anything about our families of words and their quarrels, you will find your name in the back of the books listed as that of an ignoramus. You may laugh at 80 your sister for the way she handles a pocket knife, and she may sneer at you for the way you handle words. Do you know what is meant by Orthog- raphy, Etymology, Syntax and Prosody? No ? Well, you are not thereby missing much. Same thing of copula, predicate, declension, conjugation, pluperfect, potential, pronominal, second future, and others of the book worm genus. All these terms, with their pals and con- federates, are relics of scholasticism. They be- wilder us and blind us to the things that are of real importance. The grammar compilers of the present day nurse and fondle the infatu- ation of the old days. They know and say it is old lumber, and they also know that it is disappearing piece by piece. Parsing is pass- ing. The danger is that the catch phrase, "grammarless tongue," may be used as an excuse. Perhaps you are now happy. Perhaps you are happy now. Perhaps now you are happy. Now perhaps you are happy. Now you are perhaps happy. Now you are happy perhaps. 81 You are perhaps now happy. You perhaps are now happy. You are now happy perhaps. We might go on shifting those five words and still make sense of them. Position is a great thing in English, as it also is in number. By using commas you may give the sense another tinge. With these privileges you get into print the effect of tone and pause in speech. It is the glory of our English tongue that you can express to a hair anything you can think. Do you suppose all the other languages taken together have clothed as much fun, as many jokes and witticisms, as the English language has ? Do you suppose this leaven of fun is more justly regarded as a product of our so-called Anglo-Saxon blood than it is of our Anglo-Saxon language? That is debatable. But the point I wish to make is that the way you shall put those five words together is, as they say, up to you. You are the judge. You must do the thinking. Gram- mar can not help you any more than saltpeter can save you. You must know what words mean; you must select the words you want, and you must put them together in the order you want them to go. What, then, is the use of grammar? It is this: Grammar gives you some general rules that show you how to play the game legally. For example: "These is them." The idea is clearly expressed, but not legally put. But the rules do not and can not cover everything. You are supposed to know that "shall have" is sense and that "shall had" is nonsense. You pick up things of that sort with your ears and eyes. We consider "shall had" bad English rather than bad grammar. The funny letters from Americanized foreign- ers, especially the Japanese, you sometimes see in the newspapers, show ludicious meetings of words. The writers may have learned our grammar thoroughly, but what is known as the genius, the spirit, of our speech is not in them, for that is the property of the mother tongue. A motor boat is fast when it is mov- ing rapidly, and it is fast when it is stuck in the mud. You may feel like challenging me to say what I would do with English grammar. Well, I would make it a grammar pure and simple. I would make philology, punctuation, rhetoric, 83 and prosody mind their own business, and not let them stick their noses in where they are not wanted. I would call the whole circle of this kind of knowledge, as we sometimes do, English. At the start I would impress on the learner that the place to find out how to use words is the dictionary. I would have it drilled into him that a big dictionary is a storehouse of grammatical knowledge, including the biogra- phies of words and the best examples of their use. Then I would give him English grammar stripped to the buff. I would explain the meaning of the word thing — the most comprehensive word in the language. If you spell it thingk, you have its original and present meaning. It stands for anything you can think of, whether material or immaterial, real or imaginary. You can think of a man, but not of manly (except as a mere word) ; of happiness, but not of happy; of hate or hatred, but not of hateful ; of paint or it (substitute for a name), but not of painted or might have been painted ; of answer, but not of yes or no ; of trouble, but not of oh ; of time and place, but not of now or here (I would have to try to explain that somehow, 84 because we know we can think of now or here as well as of time and place). Then I would give the regular old fashioned definition of a noun. A noun is the name of any person, place, or thing that can be known or mentioned. Then I would show you how to pick out nouns mechanically by using the so- called articles, the, an or a. You say the time and a place, but not the now or a then (which helps us over our previous difficulty). I would also give another test for puzzling cases — use the word about in the sense of con- cerning. Thus : I am thinking about misery, about redness, about John, about London, about width, about ignorance. Each of what are called the parts of speech (the eight families of words) would be sim- ilarly treated. But no hairsplitting would be done with the words that are nothing but couplings, called conjunctions and prepositions. Nor with the independent words such as yes and no, oh, fie, and the like, which gram- marians put into one family or another because they think they must classify them some way. There are tramps among words as well as among people. Rules are for slaves. "John is worth a lot." What part of speech is 85 "worth"? Is it an adjective, a verb, a prepo- sition, or something else? Is it worth while quarreling about worth? . It might be but for one thing — grammar by its nature is not an exact science. The old timers tried to make an exact science of grammar just as they tried to make an exact science of versification, oratory, gestures, and everything else they could get any hold on at all. As to whether a noun stands for one thing or more, and whether you are to speak of it as male, female, or neuter — you do not have to know grammar to answer questions of that sort. Number and gender are matters of knowledge, not of rules. You are also supposed to know how to spell before you tackle grammar. The plural of boy is boys, and the plural of man is men; but it is the business of grammar to tell you how words behave, not how they are made. You ought to know the plural of goat and sheep, and eel and mackerel, before you touch grammar. As to splitting up the family of nouns into collective, abstract, verbal, and complex groups, that helps to give grammar the odor of science, and there is little other value to it. 86 Of course the terms "plural" and "collective" are useful and have a legitimate standing in grammar. I would start in to teach grammar by means of two families — pronouns and verbs. Pronouns are not a natural family, like nouns and verbs and conjunctions. How they happened to get a footing on earth is a mystery the searchers have been unable to explain. If the beasts of the field and the fowls of the air have any language but grunts and groans, growls and sighs, croons and calls, we may be fairly sure they have no pronouns. Artificial they certainly are, but they are wonderful inventions — like the naught in mathematics. As they kick up more fuss and make more trouble than all the other families put together, master them you must. Then you have English grammar cornered, subjugated, subdued, and eating out of your hand. The rest is largely a matter of taste and of familiarity with good usage. Errors in grammar that are slips or over- sights are pardonable, but errors that come from ignorance are sinful. The word preci- osity means holding unimportant things precious. Persons of small calibre sometimes 87 get hold of niceties, and handle them as jewels. In baseball there are players who sit on the bench like dummies, and wait for a chance to break into the game. They are called sub- stitutes and pinch hitters. They are pronouns. All the regular players are nouns, just as all our words were originally nouns. The player becomes pitcher, catcher, shortstop, etc. — separate parts of speech. So nouns became verbs, adjectives, prepositions, etc. We say : "The man put on the woman's hat, and the woman laughed at the man." Or we say : "He put on her hat, and she laughed at him." There are not many pronouns — say fifty, to avoid dispute. We really need a few new ones. They have been invented, but not accepted. Example: "Ask your teacher for your teacher's book." I must not say his book or her book, unless I know whether your teacher is a he or a she. ("He" and "she" are here by violence changed from pronouns into nouns) . If we could have one of the suggested pronouns, hiser, meaning his or her as the case may be, we could say at once, "ask for hiser book." 88 The English language is as you find it, not as it was, or as it should be, or as it may become. The Sanscrit language is dead. I would not try to arrange the little pronoun family into squads and ranks and files, calling them personal, possessive, relative, interrog- ative, single, compound, etc.; nor would I cavil as to whether they were half adjective and half pronoun by using such terms as pronominal, distributive, demonstrative, indefi- nite and the like. So long as a word is used as a substitute for some thingk, it is a pronoun. The more you monkey with a pronoun the worse it acts. Handle it carefully ; don't twist and squeeze and hammer it. My modern grammar, then, would be de- voted principally to pronouns and verbs. If you were allowed to put your work in on those families, the rest of grammar would be nothing to you but what it is — common sense. You cannot get much real knowledge of any- thing when your attention is monopolized by trimmings. The pronoun and the verb are as the frame- work of grammar. The word verb literally means the word. It is called the word because it is the soul of language. You may put the 89 words of the other families together in any way you please, but they are lifeless, meaning- less, until you give them a soul — a verb. That is why verbs alone of all the families have a king. The name of this king is Be — King Be, if you please. He stands for existence, in action or not in action. All other verbs might be wiped off the earth, and Be, by means of his various forms, could do all the work. Thus, if we wished to say, "The boy runs," we could convey the idea by saying : "The boy is in motion with his swift legs." If, "John loves Mary," we could make it, "John is in love with Mary." If, "You must not do that," we could say, "You are not to be at that." Of course we need all the verbs we have, because they are convenient, but the King could do the work of the others if necessary. When you come to piling up forms of verbs into "divisions, brigades, regiments and com- panies," and to giving them moods and voices, like human beings, you are simply showing them on dress parade. That may be good enough as an exercise or pastime, but you ought not to mistake it for the real thing. "He was killed a bear" is not a matter of voice, but 90 of sense. "He was given a party" is not a matter of grammar, but of English. The chief difficulty in grammar is what is called "case," a term that has come down to or up to us from the ancients. It means a "falling," and is said to have been adopted because nouns and pronouns seem to fall on verbs. In "These is them" the word "these" falls on "is," and they quarrel ; that is, fall out. When a word falls it should fall according to Hoyle. True enough, you could work out most everything of the kind by yourself (depending largely on eye and ear) by transposing the words of a sentence, and by supplying words that seem to be missing. You could go at that sentence by saying: them is these, these are them, they are these, these are they. The laws of grammar, however, are a safer and quicker guide than experiments through the eye and ear. The drill you get in studying grammar educates the ear and eye, and makes them sensitive to quarrels in word families. A verb is often a bundle of verbs, prac- tically a compound word. Thus, He might- have-been-loved is as truly a single term as the 91 words in, as and much are one term when they appear as inasmuch. It is a legitimate thing in grammar to show the correct uses of shall and will, set, lay and the like, although that is a matter of common knowledge rather than of the law in language. Why we say, "Were I in your place," instead of "Was I in your place," also comes within the province of grammar. And so on. But everything essential in the law and prac- tice may be put into a small book. There is no need of four-fifths of the stuff found in the style of grammar bequeathed to us by the old-time schoolmen, who used to think and write in Latin. In the struggle between law and sense, law must go to the wall. Example : "I do not like John or James" — O. K. But, "John does not smoke or drink too much." — What do you mean ? Look at these. Look at those. Look at them. Each of these sentences is correct grammati- cally. It is sense, not grammar, that you must look to in many, many questions of good English. If you say, "Things I have to do," 92 you have not broken a rule of grammar in using those words that way. But you have been careless in the use of words, for I can not tell from your remark whether you mean things you want to do, things you ought to do, or things you are obliged to do. It is said that " Simplicity is one of the canons of high art." I believe that, for I am sure "high art" is necessary to enable us to say in a simple way what we mean. In writing about language it is usual to make some kind of display of learning, and I feel that I ought to yield a little to the pressure of custom. So here goes : At the beginning of all things there was force acting on matter through space in time. If you deny that, I am all at sea again. Accept my premise, and I can prove anything I want to prove. Conceding my premise, you will now step with me to the point in time when lan- guage was born. I will tell you the first word ever uttered by a creature. It is the parent word of all languages that ever existed. Philologists have tried to find out how lan- guage got a start, but they have taken the wrong method. They have worked backward 93 from what is to find out what was. I work forward from my premise. It is admitted by scientists that life origi- nated in water. The creatures of the primor- dial water had not what is called the gift of gab, but they could hear. The big creatures lived at the expense of the little creatures then as now. There was danger in or on the deep. It was known by the darting through the water of one creature to catch another creature. Let us examine the physics of this darting process. It started without perceptible sound, increased hissingly, and ended in a swishing noise. The victim heard that, and the mother fish watched out for it, and in the course of time nature helped the poor brainless creatures to imitate the awful sound in time of danger, and utter in advance the warning cry — f-i-s-h ! From this one primeval word, now so com- mon, we are able, as our philologists do in their reverse way, to build up the wonderful structure called language. The process is simple, now that it is started. You can see, for instance, how inevitably and naturally a false alarm among the mother creatures would cause them to stop halfway in their cry of terror, and exclaim, fie! instead of f-i-s-h. 94 Then, too, in some locality, say about where Scotland now shows above the water, they un- doubtedly called it f-u-s-h! From this you easily get fudge ! by well established philologic- al laws. In erecting our structure on these humble beginnings care should be used not to jump at conclusions, as some of our philologists do, since we are likely to fall into such errors as identifying eleemosynary with eels, not only on account of the sound, but because of the twisting shape and slimy feeling in your mouth when you try to get rid of that long word. It is true, on the other hand, that cats and dogs may be traced to land from the water, where they originally existed as catfish and dogfish. But the limits of this discourse, as our men of learning would say, do not permit me to elucidate the labial, guttural and glotteral acquirements of our preadamite ancestors, though I can assure you it is all accounted for by the one word that is accepted as our truly universal solvent — evolution. The thought- ful student should fall back on that word whenever he gets stuck, unless, perhaps, he 95 feels as I do at this present moment, that it is time to shut up shop and hike it for the ball game. [THE END.] 96 BY THE SAME AUTHOR. Vocabulary of Checkers, $2.00 R. D. Yates, Checker Player, .... 1.00 Kboo : The Counting Game, 25 Scientific Solitaire, 20 Baseball Code Simplified, 10 Shorthand for General Use, 50 Ten Great Little Poems, 50 You and I and the Stars, 50 The Little Grammar, 50 New Method in Multiplication and Division, 50 Midget Problems in Checkers, ... .50 Life As It Is, 50 Boy's Book on Logic, 50 W. T. CALL, 669 E. 32d Street, Brooklyn, N. 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