UNIVERSITY OF CALIFORNIA AT LOS ANGELES HOME UNIVERSITY LIBRARY OF MODERN KNOWLEDGE No. 21 Editors: THE RT. HON. H. A. L. FISHER, M.A., F.B.A. PROF. GILBERT MURRAY, Lirr.D., LL.D., F.B.A. PROF. SIR J. ARTHUR THOMSON, M.A. PROF. WILLIAM T. BREWSTER, M.A. A complete classified list of the volumes of THE HOME UNIVERSITY LIBRARY already published will be found at the back of this book. INTRODUCTION TO SCIENCE BY J. ARTHUR THOMSON REGIUS PROFESSOR OF NATURAL HISTORY, ABERDEEN UNIVERSITY AUTHOR OF " DARWINISM AND HUMAN LIFE ; " " HEREDITY; " " THE BIOLOGY OF THE SEASONS J " " HERBERT SPENCER ; " "THE SCIENCE OF LIFE ; " "THE PROGRESS OF SCIENCE IN THE CENTURY;" "THE STUDY OF ANIMAL LIFE;" " OUTLINES OF ZOOLOGY ; " " THE NATURAL HISTORY OF THE YEAR*' Joint author of "TAe Evolution of Sex " and "Evolution " NEW YORK HENRY HOLT AND COMPANY LONDON THORNTON BUTTERWORTH LTD. COPYRIGHT, 1911, BY :JENRY HOLT AND COMPANY CONTENTS - CHAP. I THE SCIENTIFIC MOOD ......... 7 II THE AIM OF SCIENCE ......... 35 * III SCIENTIFIC METHOD .......... 57 IV CLASSIFICATION OF THE SCIENCES ..... 81 ^^\ SCIENCE AND PHILOSOPHY ........ 124 VI SCIENCE AND ART .......... 166 V> VII SCIENCE AND RELIGION ......... 192 en VIII THE UTILITY OF SCIENCE ........ 224 REFERENCES TO BOOKS ......... 251 INDEX . 255 INTRODUCTION TO SCIENCE CHAPTER I THE SCIENTIFIC MOOD "For myself I found that I was fitted for noth- ing so well as for the study of Truth; as having a mind nimble and versatile enough to catch the resemblance of things (which is the chief point), and at the same time steady enough to fix and distinguish their subtler differences; as being gifted by nature with desire to seek, patience to doubt, fondness to meditate, slowness to assert, readiness to reconsider, carefulness to dispose and set in order; and as being a man that neither affects what is new nor admires what is old, and that hates every kind of imposture. So I thought my nature had a kind of familiarity and relation- ship with Truth." FRANCIS BACON. Before Science The Practical Mood The Emotional Mood The Scientific Mood contrasted with the Others Ad- justment of Moods Characteristics of the Scientific Mood A Passion for Facts Cautiousness of Statement Clear- ness of Vision Sense of the Inter-relatedness of Things Culture of the Scientific Mood Summary. BEFORE SCIENCE. We do not know much that is quite certain in regard to our early ancestors, 7 8 INTRODUCTION TO SCIENCE but it is safe to say that man's relations with Nature were for a long time predominantly practical. We may recall the vivid picture which ^Eschylus gives of primitive men living in caves, without fire, without wood-work, without sys- tem, without seasons, without foresight, a dream- life without science: "And let me tell you, not as taunting men, But teaching you the intention of my gifts How, first, beholding they beheld in vain, And, hearing, heard not, but like shapes in dreams, Mixed all things wildly down the tedious time, Nor knew to build a house against the sun With wicketed sides, nor any wood-work knew But lived like silly ants, beneath the ground, In hollow caves unsunned. There came to them No steadfast sign of winter, nor of spring Flower-perfumed, nor of summer full of fruit, But blindly and lawlessly they did all things, Until I taught them how the stars do rise And set in mystery, and devised for them Number, the inducer of philosophies, The synthesis of letters, and besides The artificer of all things, Memory That sweet muse-mother." THE SCIENTIFIC MOOD 9 In those early days the various moods that we are familiar with such as the scientific, the artistic, and the philosophic had not become defined off from an oppressive practical mood. Very gradually, however, Man got a firmer foot- hold in the struggle for existence, and was able to raise his head and look at the stars. He dis- covered the year with its marvellous object-lesson of recurrent sequences a discovery which was one of the first great steps towards science, and he became vividly aware that his race had a history. He had time, too, for a conscious en- joyment of Nature, which came to mean more and more to him. Here and there, perhaps, some began to ponder over the significance of their experience. Gradually, at all events, as the ages passed, various moods became, as we say, dif- ferentiated from one another, and men began to be contrasted according as this or that mood was more habitual with them. Men of action, men of feeling, and men of thought, these were the three primary types, which are now-a-days split up into minor types. They correspond, obvi- ously, to doing, feeling, and knowing; to hand, heart, and head; to practice, emotional activity, and intellectual inquiry. That we may better understand the scientific mood, let us consider for a little the others. THE PRACTICAL MOOD. First there is the 10 INTRODUCTION TO SCIENCE mood of the dominantly practical man, whose whole trend is towards doing, not towards know- ing. He must, of course, know his facts if his doings are to be effective, and he must, likewise, have sound social feeling if his doings are to be deeds, not misdeeds; and no one will seek to dispute that the practical man has a firm grip of facts, and that he is often full of that kindli- ness which marks a strong development of the kin-instinct. Yet he himself would be the first to point out that he had no particular hunger or thirst after the descriptive formulae which Science seeks to supply. So far as Science means that kind of knowledge which is Foresight, that kind of Foresight which is Power, he believed in it, but on the whole it did not interest him. Simi- larly, while he would confess to a pleasure in friendly relations between man and man, and between man and his beasts, and to a sometimes apparently hyperaesthetic sense of order, he would admit, on the whole, that aesthetic emotion was not much in his line. He was not built that way. There is obviously much to be said for the dominant practical mood. It is as natural and necessary and dignified as any other. Science grew out of practical lore, and fresh vigour has often come to science by a tightening of its touch with the business of everyday life. How much mathematics, for instance, both simple and subtle. THE SCIENTIFIC MOOD 11 has arisen in direct response to practical needs, whether of measuring land or measuring elec- tricity ! On the other hand, the risks of a tyrannous practical mood are great. When things get into the saddle and override ideas and ideals and all good feeling, when the multiplication of loaves and fishes becomes the only problem in the world, we know the results to be vicious. To be wholly practical is to grub for edible roots and see no flowers upon the earth, no stars overhead. The exaggeratedly practical man "will have nothing to do with sentiment," though he prides himself in keeping close to "the facts"; he cannot abide "theory," though he is himself imbued with a quaint Martin Tupperism which gives a false sim- plicity to the problems of life; he will live, he in- sists, in "the real world," and yet he often hugs close to himself the most unreal of ideals. THE EMOTIONAL MOOD. Secondly, there is the emotional and artistic mood, which finds expres- sion in Schiller's words: "O wunderschon ist Gottes Erde, und schon auf ihr ein Mensch zu sein." "Oh wondrous beautiful is God's earth, and good it is to be a man upon it." From man's first emergence, perhaps, the herbs and the trees, the birds and the beasts, sent tendrils into his heart, claiming and finding kin- ship. Ever so early there must have been a 12 INTRODUCTION TO SCIENCE I rude joy in the heavens and the earth, and in the pageant of the seasons something more than the pleasure of basking in the sun like a lizard. Probably, however, it was not until man had gained some firmness of footing in the world, secured by his wits against stronger rivals and a careless environment, that the emotional tone grew into dignity as a distinct mood, a genuine enjoyment of beautiful things, which found expression in music and dance, in song and story, hi painting and carving, and hi religious rites. Like the practical mood, so the emotional mood has its obvious virtues. It is part of the salt of life. It begets a sympathy that is insight. In a noisy world it helps to keep us aware of harmony hidden in the heart of things. We are perhaps apt to think too lightly of the value of the more primitive aesthetic emotions. Do we not need some infusion of the simple de- light in the earth which was expressed for in- stance by Matthew Arnold in his Empedocles on Etna: "Is it so small a thing to have enjoy'd the sun?" There is a fine ideal, which no science need contradict, in that line of Goldsmith's, "His heaven commences ere the world be past." It is only by the culture of the emotional mood though the words are almost self-contradictory that man "hitches his wagon to the stars." THE SCIENTIFIC MOOD IS But, just as with any other disproportionate development, there are risks in the hypertrophied emotional mood. Uncurbed by science, un- related to practice, it may become morbid, even mad. Rational wonder may degenerate into "a caterwauling about Nature." Enthusiasm for what is beautiful, without relevant activity, may become an unpleasant effervescence. There may be overfeeling, just as there may be overdoing. THE SCIENTIFIC MOOD CONTRASTED WITH THE OTHERS. The scientific worker has elected pri- marily to know, not do. He does not directly seek, like the practical man, to realize the ideal of exploiting nature and controlling life though he makes this more possible; he seeks rather to idealize to conceptualize the real, or at least those aspects of reality that are available in his experience. He thinks more of lucidity and formulae than of loaves and fishes. He is more concerned with knowing Nature than with en- joying her. His main intention is to describe the sequences in Nature in the simplest possible formulae, to make a working thought-model of the known world. He would make the world translucent, not that emotion may catch the glimmer of the indefinable light that shines through, but for other reasons because of his inborn inquisitiveness, because of his dislike of obscurities, because of his craving for a system 14 INTRODUCTION TO SCIENCE an intellectual system in which phenomena are at least provisionally unified. And, as we have indicated the vices of an exag- gerated emotional mood and of a too exclusively practical mood, so we must admit that the hypertrophied scientific mood has its risks, of ranking science first, and life second (as if science were not, after all, for the evolution of life); of ignoring good feeling (as if knowledge could not be bought at too high a price); of pedantry (as if science were merely a "preserve" for the ex- pert intellectual sportsman, and not also an education for the citizen); of disproportionate analysis dissecting more than it reconstructs so that the artistic perception of unity and har- mony is lost; of maniacal muck-raking for items of fact (as if facts alone constituted a science). ADJUSTMENT OF MOODS. Before we go on to consider the characteristics of the scientific mood in greater detail, let us sum up so far. There are three dominant moods in man practical, emo- tional, and scientific each with its subdivisions. They correspond symbolically to hand, heart, and head, and they are all equally necessary and worthy. "And the eye cannot say unto the hand, I have no need of thee: nor again the head to the feet, I have no need of you." They are all worthy, but most so when they respect one another as equally justifiable outlooks on nature, THE SCIENTIFIC MOOD 15 and when they are combined, in adjusted pro- portions, in a full human life. But that is so difficult of attainment, especially when great excellence in one direction has been inherited or icquired, that the disproportionate developments ,ve have spoken of are apt to occur. They are >ften the more dangerous because of the very trength which the exaggeration gives to its pos- essor. This is part of the penalty of genius. For ordinary folk, however, it is safe to say that when any mood becomes so dominant that the validity of the others is denied or ignored, the results are likely to be tainted with some vice some inhumanity, some sentimentalism, some pedantry, some violence to the unity of life. A sane life implies a practical recognition of the trinity of knowing, feeling, and doing. This spells health, wholeness, holiness, as Edward Carpenter has well said. CHARACTERISTICS OF THE SCIENTIFIC MOOD. In his presidential address to the British Associa- tion in 1899, Sir Michael Foster inquired into the qualities that distinguish the scientific worker, and came to the conclusion that they were, in the mam, three: "In the first place, above all other things, his nature must be one which vibrates in unison tvith that of which he is in search; the seeker \fter truth must himself be truthful, truthful with 16 INTRODUCTION TO SCIENCE the truthfulness of nature; which is far more imperious, far more exacting than that which man sometimes calls truthfulness. "In the second place, he must be alert of mind. Nature is ever making signs to us, she is ever whispering to us the beginnings of her secrets; the scientific man must be ever on the watch, ready at once to lay hold of Nature's hint, how- ever small, to listen to her whisper, however low. "In the third place, scientific inquiry, though it be pre-eminently an intellectual effort, has need of the moral quality of courage not so much the courage which helps a man to face a sudden difficulty as the courage of steadfast endurance." Anticipating the obvious criticism that these three qualities of truthfulness, alertness, and courage are not in any way peculiar to the scien- tific man, but "may be recognized as belonging to almost every one who has commanded or deserved success, whatever may have been his walk in life," Sir Michael said: "That is exactly what I would desire to insist, that the men of science have no peculiar virtues, no special powers. They are ordinary men, their characters are common, even commonplace. Science, as Huxley said, is or- ganized common-sense, and men of science are common men, drilled in the ways of common- sense." THE SCIENTIFIC MOOD 17 Perhaps this protests a little too much, that the scientific man is as other men are, but it emphasizes a useful point, that the scientific mood does not necessarily imply any particular knowl- edge of this or that science. Some men who are quite ignorant of any of the concrete sciences have nevertheless a highly developed scientific mood. Give them data and a clearly stated problem, and they soon show that they are scientific in every fibre of their mind. It is indeed a vulgar error that science is anything by itself. To speak of "going in for science" is like proposing to go in for breathing or good digestion. When all is said, however, we feel that there is something distinctive in the scientific mood, and this requires further analysis. It will appear that our conclusions agree with Sir Michael Foster's, but they emphasize intellectual rather than moral features. A PASSION FOR FACTS. As a first characteristic of the scientific mood we would rank a passion for facts, which corresponds to the quality of truthfulness in Sir Michael Foster's analysis. It is the desire for accuracy of observation and precision of statement. "First make sure of the facts," is a fundamental precept in science, but it is no easy matter. Even in regard to simple problems it is often difficult to get a grip of the facts of the case. Even in regard to simple oc- 18 INTRODUCTION TO SCIENCE currences it is often difficult to give a quite accurate account of what took place. This is partly due to the dash of the artistic mood which most men have. It is often due to the untrained eye, which sees only what it has the power of seeing, sometimes little indeed and, in the opposite direction, to preconceptions which often enable men to see what is not to be seen. It is also due to lack of discipline in the method of science; thus nothing is commoner than a nail* ration that mingles observation with unconscious inferences from observation, which is one of the elementary fallacies. "Man, unscientific man," Sir Michael Foster said, "is often content with 'the nearly' and 'the almost.' Nature never is. It is not her way to call the same, two things which differ, though the difference may be measured by less than the thousandth of a milligramme or of a millimetre, or by any other like standard of minuteness. And the man who, carrying the ways of the world into the domain of science, thinks that he may treat Nature's differences in any other way than she treats them herself, will find that she resents his conduct; if he in carelessness or hi disdain overlooks the minute difference which she holds out to him as a signal to guide him in his search, the projecting tip, as it were, of some buried treasure, he is bound to go THE SCIENTIFIC MOOD 19 astray, and, the more strenuously he struggles on, the farther will he find himself from his true goal." Many children seem to pass through an inter- esting stage in which they fail to discriminate between their dream-pictures and their wide- awake pictures of actual occurrences, and it was probably ingenuousness rather than any lack of good faith that led some of the old naturalist- travellers, in the glamour of strange lands, to mix up in their diaries what they actually saw and what the natives told them was to be seen. And we do not need to go back to ancient history to find examples. The scientific worker is well aware that in measurements and observations the accuracy at- tainable is only approximate, and that the degree of approximation varies with the individual. The personal equation has been for a long time frankly recognized and allowed for in astronomy; it is also sometimes estimated in chemistry and physics; but it must be recognized all round. Science begins with measurement and there are some people who cannot be measurers; and just as we distinguish carpenters who can work to this or that fraction of an inch of accuracy, so we must distinguish ourselves and our acquaint- ances as able to observe and record to this or that degree of truthfulness. 20 INTRODUCTION TO SCIENCE Hence, naturally, the importance of discipline and apprenticeship in precision whether with the chemical balance or with the scalpel, with the sextant or the micrometer. Even faithful drawing is an effective factor in the development of truthfulness ; and we heartily agree with Agassiz that a training in natural science is one of the best preparations a man can have for work in any department of life where accurate carefulness and adherence to the facts of the case are of indispensable importance. Long ago Bacon said: "We should accustom ourselves to things themselves," and this-^-to distinguish between appearance and reality-(-is what the scientific mood seeks after. Its emblem might be the X-rays which penetrate through superficial obscurities. It is the note of precision that is distinctive. We read of Clerk Maxwell: "Throughout his childhood his constant question was, 'What's the go of that? What does it do?' Nor was he content with a vague answer, but would reiterate, 'But what's the particular go of it?'" The quality of accuracy has, of course, a great variety of expressions at many different levels, but it is of the same mood and towards the same ideal all through. The discipline of weighing and measuring is doubtless sometimes exaggerated into an end in itself, and made unnecessarily THE SCIENTIFIC MOOD 21 tedious by its unrelatedness to real problems, but those who are inclined to be impatient with it should remember that it is congruent with and contributory to "that enthusiasm for truth, that fanaticism of veracity, which is a greater possession than much learning; a nobler gift than the power of increasing knowledge." These are Huxley's words, whose passion for facts marked all he said and did. They suggest a famous sentence in his autobiography, in which he expressed his aims in life. "If I may speak of the objects I have had in view since I began the ascent of my hillock, they are briefly these: To promote the increase of natural knowledge and to forward the application of scientific meth- ods of investigation to all the problems of life to the best of my ability, in the conviction which has grown with my growth and strengthened with my strength, that there is no alleviation for the sufferings of mankind except veracity of thought and of action, and the resolute facing of the world as it is, when the garment of make- believe by which pious hands have hidden its uglier features is stripped off." * We have used the strong phrase "a passion for facts" because of the intensity which all the great masters in science have shown in their reverence for truth and in their contempt for mere opinions. "Opinions," Glanville says, "are 22 INTRODUCTION TO SCIENCE the rattles of immature intellects, but the ad- vanced reasons have outgrown them." "The longer I live," Huxley said, "the more obvious it is to me that the most sacred act of a man's life is to say and feel, 'I believe such and such to be true.' All the greatest rewards and all the heaviest penalties of existence cling about that act." CAUTIOUSNESS OF STATEMENT. Following from the passion for facts, there is a second char- acteristic of the scientific mood, namely, cau- tiousness. *It has habituated itself to withhold judgment when the data are obviously incom- plete; to doubt conclusions that have been quickly reached; to hesitate in accepting what is particu- larly attractive whether in its simplicity or its symmetry! Thus scientific workers are naturally sceptical and of the school of St. Thomas which is in no way inconsistent with a tenacity of con- viction when the demonstration is complete. Not any easier than accuracy is this quality of active scepticism, "thatige Skepsis." Indeed, as Prof. W. K. Brooks says in his Foundations of Zoology: "The hardest of intellectual virtues is philosophic doubt, and the mental vice to which we are most prone is our tendency to believe that lack of evidence for an opinion is a reason for believing something else." . . . "Suspended judgment is the greatest triumph of intellectual THE SCIENTIFIC MOOD 23 discipline." The sceptical, distrustful, scientific desire to test everything was charmingly hit off in the definition of a professor given in Fliegende Blatter "Ein Professor ist ein Mensch der an- derer Meinung ist." "A professor is a man who is of a different opinion." \ It is true that the scientific mood is continually making hypotheses or guesses at truth; the scientific , use of the imagination is a recognized method. It is a kind of intellectual experimenta- tion, and it suggests actual experiments by which it is itself tested^ The danger of this is not so much for experts as for those who have incomplete mastery of the rules of the game, but every one will admit that provisional hypotheses have a tendency to put on the garb of full-grown theories, or even of established doctrines. As Mr. Bateson has phrased it, the controlled scien- tific mood will avoid "giving to the ignorant as a gospel, in the name of science, the rough guesses of yesterday that to-morrow should forget." As Huxley said with memorable severity: "The as- sertion that outstrips the evidence is not only a blunder but a crime." A fine illustration of scientific restraint is to be found in Huxley's agnostic position in regard to the theory of evolution before the publication of the Origin of Species. He had studied Lamarck attentively, and he had fought many and pro- 24 INTRODUCTION TO SCIENCE longed battles with Herbert Spencer on the subject. "But even my friend's rare dialectic skill and copiousness of apt illustration could not drive me from my agnostic position. I took my stand upon two grounds: Firstly, that up to that time, the evidence in favour of transmuta- tion was wholly insufficient; and secondly, that no suggestion respecting the causes of transmuta- tion assumed, which had been made, was in any way adequate to explain the phenomena. Look- ing back at the state of knowledge at that time, I really do not see that any other conclusion was justifiable." . . . "That which we were looking for, and could not find, was a hypothesis respect- ing the origin of known organic forms which as- sumed the operation of no causes but such as could be proved to be actually at work. We wanted, not to pin our faith to that or any other speculation, but to get hold of clear and definite conceptions which could be brought face to face with facts and have their validity tested. The Origin provided us with the working hypothesis we sought." . . . "The only rational course for those who had no other object than the attain- ment of truth was to accept 'Darwinism' as a working hypothesis and see what could be made of it. Either it would prove its capacity to eluci- date the facts of organic life, or it would break down under the strain." (See Huxley's Life and THE SCIENTIFIC MOOD 25 Letters, vol. i. p. 168.) To read these words is to breathe the scientific atmosphere. They illus- trate the scientific mood better than any analysis. Cautiousness, then, is characteristic of science. Just as "burnt bairns dread the fire"; so the scientific mood, often deceived by misobserva- tion, by inferences mixed up with records, by hearsay evidence, by an induction from too nar- row a basis, and even by the will-o'-the-wisp glamour of a brilliant hypothesis, becomes more and more cautious, distrustful, "canny." One of the forms of cautiousness that is most difficult of attainment, and yet indispensable, is distrust of our personal bias in forming judgments. Our interpretations are necessarily coloured by our personal experience and our social environment; our hypotheses may arise from social suggestion: but before they pass into the framework of science they must be "de-personalized." In fact, the validity of a scientific conclusion, as distin- guished from a mere opinion, depends on the elimination of the subjective element. As Prof. Karl Pearson says : " The scientific man has above all things to strive at self-elimination in his judgments, to provide an argument which is as true for each individual mind as for his own. The classification of facts, the recognition of their sequence and relative significance, is the function of science, and the habit of forming a 26 INTRODUCTION TO SCIENCE judgment upon these facts, unbiassed by personal feeling, is characteristic of what may be termed the scientific frame of mind" (Grammar of Science, 1900 edition, p. 6). As Faraday said: "The world little knows how many of the thoughts and theories which have passed through the mind of a scientific investigator have been crushed in silence and secrecy by his own severe criticism and adverse examination; that in the most successful instances not a tenth of the suggestions, the hopes, the wishes, the preliminary conclusions have been realized." As a complementary statement we give another quotation from the same great au- thority: "The philosopher should be a man will- ing to listen to every suggestion, but determined to judge for himself. He should not be biassed by appearances; have no favourite hypotheses; be of no school, and in doctrine have no master. He should not be a respecter of persons, but of things. Truth should be his primary object. If to these qualities be added industry, he may indeed hope to walk within the veil of the Temple of Nature." It seems to us strange that some biologists have criticized Prof. Weismann because in the course of a quarter of a century or more, he has modified certain of his suggestions as new facts came within his knowledge. Nothing is more THE SCIENTIFIC MOOD 7 characteristically scientific. As Prof. J. H. Poynting has admirably put it: "The hypotheses of science are continually changing. Old hypoth- eses break down and new ones take their place. But the classification of known phenomena which a hypothesis has suggested, and the new discov- eries of phenomena to which it has led, remain as positive and permanent additions to natural knowledge when the hypothesis itself has van- ished from thought." CLEARNESS OF VISION. A third character- istic of the scientific mood is the endeavour after clearness, ^the dislike of blurred vision and ob- scurities. \ The mole has a sort of half-finished lens, which is physically incapable of throwing any clear image on the retina. If there is any image at all, it must be a blurred tangle of lines. In our busy lives, as the nemesis of our specialisms and preoccupations, we tend to have moles' lenses in regard to particular orders of facts; we see certain things clearly, but others are blurs. The scientific mood is in continual protest against this; it is all for clearness. When we work long at a thing and come to know it up and down, in and out, through and through, it becomes hi quite a remarkable way translucent. The botanist can see through his tree, see wood and bast, cambium and medullary rays, all in their proper place; he can see the 28 INTRODUCTION TO SCIENCE ascending water and salts, the descending sugar and proteids. The zoologist can in the same way see through the snail on the thorn, seeing as in a glass model everything in its place, the nerve- centres, the muscles, the stomach, the beating heart, the coursing blood, and the filtering kid- ney. So the human body becomes translucent to the skilled anatomist, and the globe to a skilled geographer. Similarly, on a higher plane than merely opti- cal clearness, those of the scientific mood are in great part trying to make the world translucent. They are seeking to construct an intellectual cinematograph of the long processions of causes that pass unceasingly before us. A perfectly clear working thought-model is what science seeks to construct. There is so much to know that ignorance in itself is no particular reproach; but the point is to be clear when we know and when we do not, and it is one of the characteristics of the scientific mood that it will have yes or no to this question. "Do you see it or do you not?" was the con- tinual question of a biological teacher gifted with great educational ability, and "If you see it, what is it like?" A student who worked under Agassiz relates how she was almost brought to despair by the severe way in which that great master, after giv- THE SCIENTIFIC MOOD 29 ing her a specimen to study, came day after day, and asked, with a cruel kindliness: "Well, what do you see now?" and then went away. But at length the student saw something saw what was to be seen, and more also. What science knows it must know definitely; what it sees must be in focus. It feels the wisdom of one of Bacon's aphorisms often verified in his- tory: "Truth to emerge sooner from error than from confusion." The definitizing of error is often the beginning of its disappearance. When the evil genie of the Eastern tales took on definite bodily form there was some chance of tackling him; as a mere wraith he was unassailable. One of the expressions of the scientific endea- vour after clearness is to be found in precision of speech. Thus Prof. Silvanus P. Thompson says of Lord Kelvin: "He hated ambiguities of lan- guage, and statements which mislead by loose- ness of phrasing. With painful effort he strove for clarity of expression, elaborating his phrases in a way that threatened at times to defeat the end intended. In that hazy medium of words wherein we all drown, he at least would attempt to observe the proprieties of language. As an example take this: Externally the sense of touch, other than heat, is the same in all cases it is a sense of forces, and of places of application of forces, and of directions of forces." SO INTRODUCTION TO SCIENCE SENSE OF THE INTER-RELATEDNESS OF THINGS. A fourth characteristic of the scientific mood is a sense of the inter-relatedness of things. It regards Nature as a vibrating system most surely and subtly interconnected. It discloses a world of inter-relations, a long procession of causes, a web of life, infinite sequences bound by the iron chains of causality. In illustration, we would quote what we have said elsewhere in reference to Darwin's picture of "The Web of Life," one of the grandest of all scientific pictures. "What is meant by Dar- win's picture of the Web of Life, and where did he paint it? We find it in all his works a lumin- ous background the idea of linkages in nature, the idea of the correlation of organisms. Cats have to do with the clover-crop, Darwin says, and earthworms with the world's bread supply. If there is an orchid in Madagascar with a spur eleven inches long, Darwin prophesies that there is a moth with a proboscis of equal length. No bird falls to the ground without sending a throb through a wide circle, for Darwin rears eighty seedlings from a single clod taken from a bird's foot. Long nutritive chains may bind the bracken on the hill-side to the brain of the proprietor if he is fond of eating trout. The patent-leather shoes on his feet connect him with the melan- choly slaughter of seals, while his ivory-backed THE SCIENTIFIC MOOD 31 toilet-brushes implicate him in the passing of the elephant. There is a ceaseless circulation of matter and energy. All things flow. Influence passes from A. to Z., though Z. is quite unaware of A. What ripples spread and spread from the introduction of rabbits into Australia, or of sparrows into the United States, or of the mon- goose into Jamaica. What absolutely essential connections there are between cutting down trees and a plague of insects, between birds and seed- scattering, between sunlight and the catches of mackerel" (Darwinism and Human Life, 1909, p. 10). These and hundreds of similar linkages seem at first quaint puzzles, but when the house- that-Jack-built procession of causes is indicated, they become clear as daylight as actualities of inter-relatedness. Our illustrations happen to be biological, but the idea is universal, and the outlook for all sorts of inter-relations in the great system of nature is diagnostic of the scientific mood. It is often seen in high develop- ment in men of business, particularly in those who have geographical interests. For it must be borne in mind throughout that the scientific mood is in no way confined to those who pursue science in the stricter sense. CULTURE OF THE SCIENTIFIC MOOD. We do not apologize for giving so much prominence to an elementary discussion of the chief charac- 32 INTRODUCTION TO SCIENCE teristics of the scientific mood. For in a series like that to which this volume belongs it cannot be made too clear that science is no "preserve" for the learned, but the birthright of all. We must never think of it as something printed and ponderous and more or less finished, but as something living in our mind and influencing our work. As was admirably said by Mr. Benchara Branford in an address to students: "Science is born anew in the deliberate will and intention of each of us when we succeed in thinking about the principles of our work in a clear, logical, and systematic way, and courageously put our con- clusions to the test of experiment; and the so- called sciences are the written records of such thinking, only more extensive, clear, systematic, and consistent, and more true to reality, because they have been tested by countless experiments and experiences in the race." What would one not give to be able to tell how the scientific mood may be developed! Our inheritances are diverse and unequal, and they limit us; yet much can be gained by "nurture" and much lost for the lack of it. A born raconteur is not likely to make a good man of science even in the best laboratory in the world, and a man without a dash of poetry is not likely to acquire it by a diligent perusal THE SCIENTIFIC MOOD 33 of the Faerie Queene, yet it is idle to pretend that we cannot to some extent influence the development of our inherited moods by appro- priate nurture. By dint of hammering, one becomes a smith, and it is by doing scientific work that one culti- vates the scientific habit of mind. Those who mean to become teachers and investigators may find inspiration hi being apprenticed to a great master and in a laboratory with great traditions; those who mean only to become intelligent citizens of the world to whom this volume, with the rest of the Library, is primarily ad- dressed may find inspiration in reading scien- tific "classics," histories of science (astronomy, best of all), and biographies of the great masters (such as Faraday, Clerk Maxwell, Helmholtz, Kelvin, Huxley, Darwin, and Pasteur), but the scientific temper must be wrought out by each one for himself. What we wish to make clear is that the scien- tific mood does not necessarily demand for its development the long sea-voyages that meant so much to Darwin and Huxley, nor the extensive explorations and long solitudes that meant so much to Humboldt and Wallace, nor dramatic op- portunities such as came to Pasteur, nor splendidly equipped laboratories, nor costly instruments. What is demanded is within the reach of all 34 INTRODUCTION TO SCIENCE who will habituate themselves in making sure of the facts, in precision of statement, hi getting things clear, and in realizing the complexity of all situations. These qualities cannot be ac- quired passively; the kingdom of science must be taken by force. The scientific mood can only be engendered by our being actively and energeti- cally scientific. It matters little what problem is tackled, but it should, at first, be one that admits of discipline in some form of measurement or accurate registra- tion. It is often well to follow our tendrils of spontaneous interest towards some subject which naturally attracts us; but it is also well that we should undertake some difficult piece of work, which stretches our brains. In some way those who would develop the scientific mood must learn to endure hardness intellectually, remembering Darwin's recipe: "It's dogged that does it." SUMMARY. The scientific mood is especially marked by a passion for facts, by cautiousness of statement, by clearness of vision, and by a sense of the inter-relatedness of things. It is contrasted with the emotional or artistic mood and with the practical mood, bid the three form a trinity (of knowing, feel- ing and doing}, which should be unified in every normal life. CHAPTER H THE AIM OF SCIENCE "The classification of facts, the recognition of their sequence and relative significance is the function of science, and the habit of forming a judgment upon these facts unbiassed by personal feeling is characteristic of what may be termed the scientific frame of mind." KARL PEARSON. Observation, Description, and Formulation Science and Common-Sense The Subject-Matter of Science De- scriptive Character of Science Knowledge of Causes- Reduction to Simpler Terms Laws of Nature Particu- lar Aims of Different Sciences The Evolutionary Aim Summary. LONGSTANDING controversies regarding science and religion, science and theology, science and philosophy, science and poetry, owe their longev- ity partly to a misunderstanding of the aim of Science. We propose, therefore, to devote a chapter to this subject, which is also of great in- terest for its own sake. OBSERVATION, DESCRIPTION, FORMULATION. The primary aim of Science is the concise de- scription of the knowable universe. The man of 85 S6 INTRODUCTION TO SCIENCE scientific mood becomes aware of certain facts that interest him; he proceeds to become more intimately aware of them; to make his sensory experience of them as full as possible. Careful and critical observation is the first step. This work of Science, which we may call get- ting at the facts, is much more difficult of attain- ment than those who have not tried imagine. One reason for this is very familiar, that things are not always what they seem to be. And though Science does not raise the characteristic meta- physical question as to what is meant by being real, it has in its own way to distinguish seeming from reality. The sun does not rise and set, the stable Earth is a whirling sphere, the inert body may be a vortex of rapidly moving corpuscles, and so on. If Science is to be consistent it has to set itself to the task of distinguishing realities from appearances. Having got his facts, the scientific investigator proceeds to arrange them, to find their common denominator, to discover the conditions of their occurrence, and to describe them as completely and as simply as possible, and finally to sum them up hi a general formula, often called "a law of nature." Aristotle defined this aim when he said: "Art [or, as we should say, Science] begins when, from a great number of experiences, one general con- THE AIM OF SCIENCE 37 ception is formed which will embrace all similar cases." And the greater part of the clearing-up which Science effects is not in forming some new general conception, but in bringing new sets of facts within the grasp of an old one. When we make things more intelligible, we do so by dis- cerning the general beneath the particular, the "permanent law" beneath the "evanescent circumstance." In short, it is the aim of Science to describe the impersonal facts of experience in verifiable terms, as exactly as possible, as simply as pos- sible, and as completely as possible. It is an in- tellectual construction a working thought-model of the world. In its universe of discourse it keeps always to experiential terms or verifiable sym- bolical derivates of these. SCIENCE AND COMMON-SENSE. It is somewhat remarkable that several investigators of distinc- tion have compared Science to common-sense. We are told that "A most simple description of true science is embraced in the words: Keep your eyes open and apply common-sense." Prof. P. G. Tait was wont to say that Science aims at giving "a common-sense view of the world we live in." Huxley emphasized the idea that "Science is nothing but trained and organized common-sense." It seems to us that it would be nearer the truth 38 INTRODUCTION TO SCIENCE to say that Science is sharply contrasted with common-sense. Thus one of the most marked characteristics of science is its critical quality, which is just what common-sense lacks. By common-sense is usually meant either the con- sensus of public opinion, of unsystematic every- day thinking, the untrustworthiness of which is notorious, or the verdict of uncritical sensory experience, which has so often proved fallacious. It was "common-sense" that kept the planets circling round the earth; it was "common- sense" that refused to accept Harvey's demon- stration of the circulation of the blood. THE SUBJECT-MATTER OF SCIENCE. We have already pointed out that Science is independent of any particular order of facts. It takes the knowable universe for its subject; it deals with psychical as well as physical processes, with Man as much as with Nature; it has to do with every- thing to which its methods can be applied. What makes a study scientific is not, of course, the nature of the things with which it is concerned, but the method by which it deals with these things. A study of a skylark is not necessarily zoological. The subject-matter of Science includes all clearly defined facts of experience which are communicable and verifiable. There are three points here to be attended to. (1) Before Science THE AIM OF SCIENCE 39 really begins, a preliminary sifting is often neces- sary to distinguish supposed facts seen by the untutored eye from clearly defined facts. (2) The facts that Science takes to do with are "real," and "what is real means something which we do not make, but find" As Thomas Hobbes of Malmesbury said in his great Levia- than (1651): "Natural History is the history of such facts or effects of nature as have no de- pendence on man's will." (3) Only one self- denying ordinance has Science imposed on itself in regard to its subject-matter. The ordinance is that Science shall consist only of the com- municable and verifiable. However real certain personal experiences may be to us, we are re- strained by boundaries of our own erection from calling these experiences scientific territory. They may be, but they are not until it is shown that similar personal experiences will be enjoyed by all who place themselves in the appropriate conditions. DESCRIPTIVE CHARACTER OF SCIENCE. When the aim of Science is spoken of as "description" the word is used in a slightly technical sense. There is a preliminary description which is not more than a faithful record of observations the kind of description which Linnaeus, for in- stance, excelled in giving for a species of plant or animal. But this is only intellectual photography, r A ' 40 INTRODUCTION TO SCIENCE good, but only a means to an end, to a higher kind of description which is characteristically scientific. When we say that the object of Science is "the complete- and consistent description of the facts of experience in the simplest possible terms," we are adopting a view held by such authorities as Kirchhoff, Mach, Karl Pearson, and Ward which is to many minds disappointing. De- scription seems such a tame term to apply to the function of Science, which, we are told, is to solve the riddles of the universe. When we come to think it over, however, or better still, when we try to work it out, "a com- plete and consistent description in the simplest possible terms" is no small achievement. It must leave nothing out, it must be consistent with itself, with the rest of the science of which it forms a part, with Science as a whole, with the formal conditions of experience in general. Of a truth, "complete and consistent description" will tax our intellectual thews and sinews. And it must be in the simplest possible terms, which means penetrating analysis, careful reduction to the lowest common denominator. And the terms must be such as are accessible to direct experience or to indirect experimental testing. Such is the aim of Science. Behind the first feeling of disappointment THE AIM OF SCIENCE 41 with the definition of Science as a description of the facts of experience, there lurks a second: Is the explanation of things to be given up? Is it not the office of Science to get behind description and to supply explanation? The answer to that question is this: (a) The vulgar belief that Science has "explained everything" is a hope- less misunderstanding. As we shall afterwards find, it would be nearer the truth to say that Science has explained nothing. (6) Science does not even try to refer facts of experience to any ultimate reality. That is not its business, (c) In a limited sense Science explains things, namely, by reducing them to simpler terms, by discover- ing the conditions of their occurrence, and by disclosing their history. What do we mean when we say that Physics has accounted for the tides, or that Physiology has made some function of the body much more intelligible than it used to be? What is meant is that we have gaine"d a general conception of the nature of the facts hi question, and that we are able to relate them to some general formula. In this sense only does Science explain things, and it does not really get beyond a description. KNOWLEDGE OF CAUSES. We must admit that there is good sense in the popular impres- sion that it is the aim of Science to discover the causes of things. What is Science for if it does 42 INTRODUCTION TO SCIENCE not make our experience of the world around us and of ourselves more intelligible, and does not this increased intelligibility depend in great part on the discovery of causes? Science has been defined, indeed, by a distinguished physiologist, Prof. Gotch, as "the causative arrangement of phenomena." But how is this consistent with the descriptive view of Science? We have seen that Science does not "explain" anything. But what else is the discovery of causes? To answer this question involves a brief digression into a difficult and dangerous terri- tory, the meaning of cause. The first point that we must be clear about is that in the natural sciences, the causes which are discovered are "secondary" or "caused causes," the question of ultimate causes not being raised; and that they are "efficient," not "final" causes, not giving any answer to the question "Why?" In the natural sciences the word cause is used in the sense indicated by Mill, "a cause which is itself a phenomenon without reference to the ultimate cause of anything." Causation, Mill said, is simply uniform antecedence. But even after we have become clear that Science has not to do with a First Cause, or with Final Causes, great ambiguities remain. As Prof. Bergson points out, even in scientific THE AIM OF SCIENCE 43 discourse three different meanings of the term "cause" are frequently confused. "A cause may act by impelling, by releasing, or by unwinding. The billiard-ball, that strikes another, determines its movement by impelling. The spark that ex- plodes the powder acts by releasing. The gradual relaxing of the spring that makes the phono- graph turn, unwinds the melody inscribed on the cy Under: if the melody which is played be the effect, and the relaxing of the spring the cause, we must say that the cause acts by wn- winding. "What distinguishes these three cases from each other is the greater or less solidarity between the cause and the effect. In the first, the quan- tity and quality of the effect vary with the quantity and quality of the cause. In the second, neither quality nor quantity of the effect varies with quality and quantity of the cause: the effect is invariable. In the third, the quantity of the effect depends on the quantity of the cause, but the cause does not influence the quality of the effect: the longer the cylinder turns by the action of the spring, the more of the melody I shall hear, but the nature of the melody, or of the part heard, does not depend on the action of the spring. "Only in the first case, really, does cause ex- plain effect; in the others the effect is more or 44 INTRODUCTION TO SCIENCE less given in advance, and the antecedent in- voked is in different degrees, of course its occasion rather than its cause." In the first case, where the cause acts by im- pulsion, what is in the effect was already in the cause; the momentum of the one billiard-ball passes in great part into the other; the causal explanation is complete. In the second case, where the cause acts by releasing, it is an indispensable condition; it pulls the trigger apart from which the effect will not occur. But it does not explain the effect. The egg of a sea-urchin will develop without being fertilized if it be immersed for a short time in sea-water to which some magnesium chloride or the like has been added, and there are many other ways of inducing "artificial parthenogene- sis." But the cause in this case in only a trigger- puller. In the third case, there is more than trigger- pulling, but the cause does not explain more than the rate or duration of the effect. People are wont to recognize themselves as the "causes" of this or that result, congratulating themselves on being the "happy cause of success," blaming themselves as being the "unfortunate cause of disaster," and this idea of an active agent effecting a change in something passive often influences the popular conception of causality. THE AIM OF SCIENCE 45 Science seeks to free itself from this anthropo- morphism. It is part of the business of Science to account for the occurrence of events, and it does so by disclosing then* "efficient causes." This simply means that the event in question is shown to be determined by preceding events; one particular set of circumstances giving rise to another. Let us here seek the aid of a scientific phi- losopher, Prof. A. E. Taylor. "The notion of causation as a transaction between two things is replaced in the experimental sciences by the conception of it as merely the determination of an event by antecedent events. Similarly, with the disappearance of things as the vehicles of causal processes falls the whole distinction between an active and a passive factor. As it becomes more and more apparent that the antecedent events which condition an occurrence are a complex plurality and include states of what is popularly called the thing acted upon as well as processes in the so-called agent, science substitutes for the distinction between agent and patient the con- cept of a system of reciprocally dependent inter- acting factors. These two substitutions give us the current scientific conception of a cause as the * totality of the conditions' in the presence of which an event occurs, and in the absence of any member of which it does not occur. 46 INTRODUCTION TO SCIENCE More briefly, causation in the current scientific sense means sequence under definitely known conditions." This view of cause and effect as earlier and later stages of the same continuous process, unified by a pervading principle, brings us back to the "descriptive" ideal of scientific explana- tion. "According to this doctrine, advocated by such eminent thinkers as Kirchhoff, Mach, and Ostwald among physicists, and, with various modifications, Avenarius, Miinsterberg, Royce, and James Ward among recent philosophers, the ultimate ideal of science, or at any rate of physi- cal science, is simply the description of the course of events by the aid of the fewest and simplest general formulae. Why things happen as they do, it is now said, is no proper question for science; its sole business is to enable us to calculate how they happen." REDUCTION TO SIMPLER TERMS. It is the continual aim of science to reduce the number of categories or necessary concepts. This is the art of wielding William of Occam's razor "Entia non sunt multiplicanda prseter necessi- tatem." "Entities are not to be multiplied be- yond necessity." Of the effort to reduce the categories let us take a famous illustration. On the occasion of his jubilee (1896) as Professor of Natural Philosophy, Lord Kelvin, then a veteran THE AIM OF SCIENCE 47 of seventy-two, surprised many by a remarkable utterance: "One word characterizes the most strenuous of the efforts for the advancement of science that I have made perseveringly during fifty -five years; that word is failure. I know no more of electric and magnetic force, or of the relation between ether, electricity, and ponder- able matter than I knew and tried to teach my students of natural philosophy fifty years ago in nay first session as Professor." It is instructive to inquire from the experts, of course what this indefatigable genius, whose life was a sequence of brilliant successes, meant by speaking of failure. Prof. Silvanus P. Thomp- son in his Life of Lord Kelvin explains the case. "The trend of modern ultra-physics with respect to the constitution of matter is towards the fol- lowing five categories: (1) the ether, that is, the plenum filling space; (2) the electron, conceived as a plexus in the ether, probably of two species; (3) the atom, a complex of electrons in the ether; (4) the molecule, a specific group of atoms (or in some cases one atom); (5) the mass, an assem- blage of molecules. Energy is involved in the construction of any of these out of any other. "Lord Kelvin's effort seems to have been to find a theory to reduce the necessary concepts to the smallest number matter and energy, or, by means of the vortex theory, to ether and energy. 48 INTRODUCTION TO SCIENCE In the end he found it necessary to bring in elec- tricity as well. But who shall call this failure? !> We understand, however, why Kelvin himself, actuated by the desire to reduce all physical phenomena within the duality of matter and energy an ideally scientific desire should con- fess in this respect to failure. In connection with the reduction of natural processes to simpler terms, we must be careful not to allow the idea to become tyrannical. It is not always possible to effect a reduction, and it is not always relevant. Moreover, it is not always easy to make sure that the reduction is complete; some residual phenomena may escape which are at the very heart of the matter. We cannot describe thinking in physiological terms, still less in physical terms. By psycho- logical analysis we may perhaps make it more intelligible, but not otherwise. That is to say, we cannot bring it under any general biological or physical concept. And although we are sure that a thinking man developed in time out of a fertilized egg-cell, we cannot reduce the activities of the thinking man to what we know of the activ- ities of the cell. And, again, as we shall explain more fully in the section on "particular aims," even if a physico-chemical reduction were effected of all that goes on in the cell, that would not give us a useful biological account of its behaviour, THE AIM OF SCIENCE 49 e. g. of its development. For that requires a historical explanation. LAWS OF NATURE. If Science is only de- scription, what is to be said of the Laws of Nature, which Science has discovered, which, moreover, things used to "obey," when we were at school? Let us find an answer to this question in the words of a keen investigator, who, having helped to make physical laws, should know some- thing about them. "We must confess," says Prof. J. H. Poynting, "that physical laws have greatly fallen off in dignity. No long time ago they were quite commonly described as the Fixed Laws of Nature, and were supposed sufficient in themselves to govern the universe. Now we can only assign to them the humble rank of mere descriptions, often erroneous, of similar- ities which we believe we have observed" (Ad- dress, British Association, 1889, p. 616). Prof. Poynting goes on to say that a "law of nature explains nothing it has no govern- ing power, it is but a descriptive formula which the careless have sometimes personified. There may be psychological and social generalizations which really tell us why this or that occurs, but chemical and physical generalizations are wholly concerned with the how" In other words, concurrently with the change in our conception of physical law has come a 50 INTRODUCTION TO SCIENCE change in our conception of physical explanation. The change is in our recognizing that " we explain an event not when we know 'why' it happened, but when we know 'how' it is like something else happening elsewhere or otherwise when, in fact, we can include it as a case described by some law already set forth. In explanation we do not ac- count for the event, but we improve our account of it by likening it to what we already know." It is a common problem of science to account for a given state of things, the appearance of an island, a cold summer, a succession of fine sunsets, a shower of gossamer, a butterfly coming out of a cocoon, and so on. In what way does science account for these things? By a descrip- tion of the conditions of their coming about, and in proportion to the completeness and generality of that description is our satisfaction with the account that is given. We are particularly well satisfied when what seemed to be an exception is shown to prove the rule that is to say, when an apparently strange event is shown to con- form to an established law. Let us take a concrete case given by Prof. Karl Pearson (Grammar of Science, ed. 1900, p. 99). "The law of gravitation is a brief descrip- tion of how every particle of matter in the uni- verse is altering its motion with reference to every other particle. It does not tell us why particles THE AIM OF SCIENCE 51 thus move; it does not tell us why the earth de- scribes a certain curve round the sun. It simply resumes, in a few brief words, the relationships observed between a vast range of phenomena. It economizes thought by stating in conceptual shorthand that routine of our perceptions which forms for us the universe of gravitating matter." To the same purpose, in his impressive His- tory of European Thought in the Nineteenth Century T Dr. J. T. Merz writes: "A complete and simple description admitting of calculation is the aim of all exact science. . . . We shall not expect to find the ultimate and final causes, and science will not teach us to understand nature and life. . . . Science means 'the analysis of phenomena as to their appearance in space and their sequence in time.' " Or again, the true nature of scien- tific explanation is suggested by Kirchhoff's defi- nition of mechanics, as the science of motion, whose object it is "to describe completely and in the simplest manner the motions that occur in nature." Huxley expressed the same general view of the Laws of Nature in a letter to Kingsley in 1863 : "This universe is, I conceive, like to a great game being played out, and we poor mortals are allowed to take a hand. By great good for- tune the wiser among us have made out some few of the rules of the game, as at present played. 52 INTRODUCTION TO SCIENCE We call them 'Laws of Nature,' and honour them because we find that if we obey them we win something for our pains. The cards are our theories and hypotheses, the tricks our experi- mental verifications." PARTICULAR AIMS OF DIFFERENT SCIENCES. It was Kant who said that any branch of knowledge contains just so much science as it contains of mathematics; and this is not very different from saying that all science begins with measurement. If this view is pressed it leads to the conclusion that the only perfect science is mechanics, and that the only quite precise sciences are those dealing with processes which can be analysed into the motions of ideal corpuscles. This seems to us an impracticable ideal of precision, for it must be noted that facts whose mechanical analysis is not within sight need not on that account be treated unscientifically. They may be measured, though not with the same measure as is used for the stars in their courses. Complex as are the inborn variations of plants and animals, they can be treated by the same statistical methods as are used in recording the simple phenomena observed when dice are thrown ten thousand times. Myste- rious as are the facts of inheritance, the expert can occasionally prophesy safely as to the nature of the chicks which will emerge from an unhatched THE AIM OF SCIENCE 53 setting of eggs. There is a great deal of precise measurement in physiology and psychology which has led or is leading to exact science, though not to mechanical re-description. Moreover, to return to a consideration referred to in the section on reduction, we are very strongly of opinion that Biology does not necessarily make progress towards perfection by the mechanical analysis of changes that go on in living bodies. That kind of analysis or reduction to the lowest terms is an engine of research which must be worked for all it is worth, but it does not directly answer any biological questions. For Biology has a particular end that of describing the life of plants and animals, and that end is not necessarily achieved by discoveries in the physics and chemistry of living bodies. We watch a bird building its nest. We know that there is an intricate sequence of physical and chemical changes going on in its body. We feel sure that nothing occurs that contradicts any of the es- tablished laws of chemistry and physics. We do not know whether a complete chemical and physical description of what occurs is realizable or not. We know that it has not been given. But we feel sure that if it were given it would not directly help us to understand the bird build- ing its nest. For that requires a different kind of description with different concepts, which 54 INTRODUCTION TO SCIENCE recognize the bird as an historic being with a mind of its own. Comte maintained very strongly that mechan- ical principles broke down as inapplicable be- yond the physical order, but that is not quite the point. They are applicable in Biology; they have been of great service as a means of inves- tigation hi Biology; their application has brought the characteristically vital into bolder relief. But the point is that they are not exhaustive of what occurs, and that they do not give us distinc- tively biological descriptions. It must be clearly understood that Biology has an aim far wider than that of giving an account of the physical and chemical processes that go on in the living body. It has to tell the story of individual development, the story of racial evolution, and the story of the everyday behaviour of the organism. It has to recognize the past living on in the present, the individ- uality and spontaneity of the creature, and, often at least, a dramatic element in life much, in fact, that requires a kind of description very different from that of Chemistry and Physics. In the same way it might be shown that Psy- chology has a particular aim of its own, which is distinct from that of Biology. More generally stated, the important idea which we wish to make clear is that what defines THE AIM OF SCIENCE 55 a science is not its subject-matter, but its point of view, the particular kind of question it asks. The lark singing at heaven's gate is a fact of experience which may be studied phy- sically, biologically, and psychologically, but a complete answer to the questions asked by Physics would not answer those asked by Biol- ogy, still less those asked by Psychology. THE EVOLUTIONARY AIM. The end of Science is not reached in the formulation of things as they are, it has also an historical or evolution- ary aim. In every department of knowledge the question we are continually asking is "How have these things come to be? " The solar system is traced back to a vast nebula. "The solid earth on which we tread In tracts of fluent heat began." There are hints of inorganic evolution, one kind of matter giving rise to another, as Uranium to Radium. There is a history if not a sermon in every stone. And when we come to organ- isms we find evolution in the stricter sense, race giving rise to race by processes of slow trans- formation still very imperfectly understood. The conception extends to language and literature, to art and institutions, to everything. It is in this genetic view of Nature and of Man that Science completes itself, and joins hands with Philosophy. 56 INTRODUCTION TO SCIENCE SUMMARY. The aim of Science is to describe the impersonal facts of experience in verifiable terms as exactly as possible, as simply as possible, and as completely as possible. It is an intellectual construction, a working thought-model of the world. In its "universe of discourse" it keeps always to experiential terms, or verifiable derivatives of these. It is as far on one side of common-sense as poetry is on the other. It deals with "facts" which have no dependence on man's will, which must be com- municable and verifiable. It is descriptive formu- lation, not interpretative explanation. The causes that Science seeks after are secondary causes, not ultimate causes; effective causes, not final causes. Indeed, its causes and effects are simply earlier and later stages of the same continuous process. Science always seeks to reduce things to a common denominator and to reduce the number of categories or necessary concepts. The "Laws of Nature" are descriptive formulae in "conceptual shorthand" of the routine of our perceptions. Each science has its distinctive questions and concepts of its own. The end of Science is not reached in the formula- tion of things as they are, it has also to describe how they have come to be. CHAPTER HI SCIENTIFIC METHOD "Induction for deduction, with a view to construction." COMTE. The Logic of Science The Keen Eye Collecting Data Measurement Arrangement of Data Analysis and Re- duction Hypothesis Test Experiments and Control Experiments Formulation The Scientific Use of the Imagination The Fundamental Postulate of Science Summary. SCIENCE is not wrapped up with any particular body of facts; it is characterized as an intellectual attitude. It is not tied down to any peculiar methods of inquiry; it is simply sincere critical thought, which admits conclusions only when these are based on evidence. We may get a good lesson hi scientific method from a business man meeting some new practical problem, from a lawyer sifting evidence, or from a statesman framing a constructive bill. How, then, does science differ from ordinary knowledge? It is criticised, systematized, and generalized knowledge. That is to say, the stu- dent of science takes more pains than the man 57 58 INTRODUCTION TO SCIENCE in the street does to get at the facts; he is not content with sporadic knowledge, but will have as large a body of facts as he can get; he systema- tizes these data and his inferences from them, and sums up in a generalization or formula. In all this he observes certain logical processes, certain orders of inference, and we call this scientific method. THE LOGIC OF SCIENCE. Of modes of inference there are no more than there were in the days of Aristotle, who recognized three: (a) from particu- lar to particular (analogical reasoning), (6) from particulars to general (inductive reasoning), (c) from general to particular (deductive reasoning). Let us take a few examples. (a) Analogical Reasoning. The geologist tells us the story of the making of the earth and describes what happened millions of years ago, and in many cases he relies on analogical reason- ing. From the consequences of particular happen- ings to-day he infers the efficient causes of events that happened in the Devonian age. He sheds the light of the present on the dark abysses of the past. When Darwin argued from the particular vari- ations which he observed in his domesticated pigeons and cultivated plants to variations which might have occurred in unthinkably distant aeons, he was trusting to analogical reasoning. Often SCIENTIFIC METHOD 59 it is the only alternative, but it should be used with restraint in arguing from the present to re- mote antiquity, for it is obvious that some impor- tant difference between the conditions then and those of to-day may invalidate the argument. (b) Inductive Reasoning. This is argument from particulars to the universal, and science is full of illustrations. " Galileo had smooth inclined planes made; and then, by rolling balls down them and measuring the times and squares of descent, he discovered inductively that the space fallen is always as the square of the time of fall- ing; so that, if a body in one second of time falls about sixteen feet, in two seconds it will have fallen sixty-four feet, four times as far (time 2- squared), in three seconds one hundred and forty- four feet, nine times as far (time 3-squared)." The inductive method may almost be called Baconian, for Bacon was the first to show that the sound way of studying Nature was to work up from particulars to principles. He called his method the new instrument the Novum Orga- num. It was founded on the principle that things which are always present, absent, or varying together, are casually connected. (c) Deductive Reasoning. This is argument from the universal to particulars, the kind of inference which enables the long arm of science to reach back through the ages that are past and 60 INTRODUCTION TO SCIENCE forward into those which are to come. By deduc- tion Neptune was discovered before it was seen. By deduction, given three good observations of a passing comet, we can predict its return to a night. As a good example, cited by Prof. Case, of the abuse of the deductive method by one of the greatest of all intellects, we may recall an argu- ment used by Aristotle to support the old circular astronomy. The stars are eternal and must have eternal motion. The only eternal motion is circu- lar. Therefore the stars move in circles round the earth. "It is a case of two hypothetical premises leading to a false conclusion. Every step is false. There is nothing for it but experience. The real question is how the stars move in point of fact." It is not within the scope of this little book to enter into a detailed discussion of the various scientific methods such as the mathematical, the empirical, the explanatory, and the verificatory, which Mill distinguished. But there are two important considerations to be borne in mind, first, that great conclusions seem often to be reached by a flash of imaginative genius, perhaps the expression of long-continued processes of sub- conscious cerebration; and, second, that in actual practice induction and deduction are mingled in intricate ways. In many instances we find that experiment and SCIENTIFIC METHOD 61 induction have afforded a basis from which deduc- tion has reached far beyond experience. The supreme illustration of the power of combined methods is to be found in Newton's Principia, for here, as Prof. Case has shown in detail, the method is neither the deductive Aristotelian, nor the inductive Baconian, but both; it is the inter- action of induction and deduction in a mixed method. "The full title, Philosophise Naturalis Principia Maihematica, implies a combination of induction and deduction. It is also a combination of analysis and synthesis: it proceeds from facts to causes as well as from causes to facts." THE KEEN EYE. We use this phrase, meta- phorically as well as literally, to describe what may be called a preliminary condition of all scientific investigation one certainly that has led to many discoveries. We mean the observant habit, the alert mind, the appetized intelligence, the inquisitive spirit, which notices whatever is unusual, which sees a problem in the most com- monplace occurrences. It is difficult to define this quality, which is at its highest when sensory alertness is combined with a habit of wondering and pondering. Of Clerk Maxwell, who "enriched the inherit- ance left by Newton and consolidated the work of Faraday," it is said that his first recollection was that of lying on the grass before his father's 62 INTRODUCTION TO SCIENCE house, and looking at the sun, and wondering. It was said of Edward Forbes, one of the most brilliant of British naturalists, that "he had a hawk's eye to see in a moment any plant that was new." And it is our impression, based on the history of science, that apart from genius most discoveries have been psychologically due to a combination of the keen eye with the inquisitive spirit. Let us recall what Tyndall has told us of the way in which Robert Mayer was led to his theory of energy. "In the summer of 1840, as he himself informs us, he was at Java, and there observed that the venous bfood of some of his patients had a singu- larly bright red colour. The observation riveted his attention; he reasoned upon it, and came to the conclusion that the brightness of the colour was due to the fact that a less amount of oxida- tion sufficed to keep up the temperature of the body in a hot climate than in a cold one. The darkness of the venous blood he regarded as the visible sign of the energy of oxidation" (Tyndall, 1876, p. 274). He was drawn to the whole question of animal heat, to the relation between heat generated and work done, and to his remarkable contributions to the mechanical theory of heat in particular, and to the theory of energy in general. All roads lead to Rome, and he must be a bold man who SCIENTIFIC METHOD 63 will declare any of Nature's beckonings to be unworthy of attention. COLLECTING DATA. The first step in beginning the scientific study of a problem is to collect the data, which are or ought to be "facts." And by this we mean, in Prof. Taylor's words, "experiences which we cannot altogether fashion as we please to suit our own convenience, or our own sense of what is fitting or desirable, but have largely to accept as they come to us." As is often said, "Facts_are chiels that winna^_ding" that is to say, they cannot be coerced or denied, and they are verifiable by all who have equal opportunities and equipment for experiencing them. In the so-called "natural sciences" this collec- tion of data implies observation, and much depends on the degree of excellence which the observer attains. The fundamental virtues are clearness, precision, impartiality, and caution. Common vices are rough and ready records, reli- ance on vague impressions, acceptance of second- hand evidence, and picking the facts that suit. Since observers are fallible mortals, we readily understand the importance of co-operation, of independent observations on the same subject, of instrumental means of increasing the range and delicacy of our senses, and of automatic impersonal methods of registration such as pho- tography supplies. 64 INTRODUCTION TO SCIENCE MEASUREMENT. In collecting data for- scien- tific thinking the fundamental virtue is accuracy, and it is impossible to exaggerate its importance. Science begins with measurement, with which we include, of course, every method of precise reg- istration. Many advances, Lord Kelvin said, have owed their origin to protracted drudgery. "Accurate and minute measurement seems to the non-scien- tific imagination a less lofty and dignified work than looking for something new. But nearly all the grandest discoveries of science have been but the rewards of accurate measurement and patient, long-continued labour in the minute sifting of numerical results." In illustration he instanced the discovery of the law of gravitation by Newton, Faraday's theory of specific inductive capacity, Joule's law of thermo-dynamics, and that of the continuity of the gaseous and liquid states by Andrews. One of the most instructive recent illustrations of the value of attending to little hints is to be found in the story of the discovery of argon. Lord Rayleigh made a number of precise weighings of the oxygen contained in a carefully weighed and measured glass flask at 15 C. and 760 mm. There were very minute differences in the weights recorded, affecting the fourth decimal place. He then made a series of weighings of pure nitrogen SCIENTIFIC METHOD 65 in the same vessel, and took note of the minute differences in the weights recorded. Especially were there differences in the weighings of nitrogen made from certain of its compounds and nitrogen obtained by removing oxygen, water, traces of carbonic acid and other impurities from atmo- spheric ah-. As the differences between the weighings seemed greater than the possibilities of error, the possibility suggested itself that the nitrogen derived from the air might not be quite pure. Now in 1785 Cavendish, in his analysis of air, had also tried whether the removal of nearly twenty -one volumes of oxygen and a small quan- tity of carbonic acid from one hundred volumes of atmospheric air left pure nitrogen. His testing left a residual bubble of something. It might, Caven- dish thought, have been introduced accidentally during the manipulations, but he also suggested that it might be a gas neither nitrogen nor oxygen, and, if so, that there was about one volume of it to every hundred of atmospheric nitrogen. For more than a century the question rested. But in 1894 Lord Rayleigh and Sir William Ramsay, in considering the discrepancies in the weighings of atmospheric nitrogen, remembered Cavendish's residual bubble, and Sir William Ramsay speedily discovered that it consisted of argon (about one and a hah" times as heavy as 66 INTRODUCTION TO SCIENCE nitrogen) and some other elementary gases. The discovery was the reward of precision and a sig- nal instance of the value of attending to even minute discrepancies. It is doubtless a pity when circumstances lead a man of science to spend his whole life in collect- ing data and in measurement, but it is ungenerous and unwise to speak of this in a superior way as "hodman's work." Let us take an illustration from the volume of Astronomy by Mr. Hinks the somewhat monotonous and quantitative work of star-cataloguing, which Hipparchus is supposed to have begun more than a century before Christ, which is continued even unto this day. What is the use of it? The author points out (1) that it forms an essential basis for the applications of astronomy the determination of time, naviga- tion, surveying; (2) that without good star places we can have no theory of the motions in the solar system; and (3) that "without accurate catalogues of the stars we can know nothing of the grander problems of the universe, the motion of our sun among the stars, or of the stars among themselves." In addition to its necessity in furnishing materials for Science, there is great educational value in the discipline of making definite and accurate measurements. Speaking of its utility, even for those students who were destined for the SCIENTIFIC METHOD 67 Church, Lord Kelvin said in an address at Bangor: "There is one thing I feel strongly in respect to investigation in physical or chemical laboratories it leaves no room for shady, doubtful distinc- tions between truth, half-truth, whole falsehood. In the laboratory everything tested or tried is found either true or not true. Every result is true. Nothing not proved true is a result; there is no such thing as doubtfulness." It is very interesting that Clerk Maxwell should speak in one sentence of "those aspirations after accuracy in measurement, and justice in action, which we reckon among our noblest attributes as men." ARRANGEMENT OF DATA. In many cases the accumulation of data has to be followed by not less laborious arrangement. The facts have to be classified, and that from different points of view, and without prejudice. The object of this is to discover correlations and uniformities of sequence. In dealing with an enormous mass of facts in regard to the Migration of Birds, one of the leading inquirers into this fascinat- ing subject, Mr. Eagle Clarke, of the Royal Scot- tish Museum, required more time for the orderly classification of the data than was required for their collection. Just as observation is made incalculably more effective by the use of instruments, so in classify- ing and registering facts, the use of statistical 68 INTRODUCTION TO SCIENCE devices curves and the like is invaluable, as is well illustrated in their successful application to the difficult problems of biometries, notably of variation and heredity. Bad observation may invalidate the whole scientific process, but carelessness in the arrange- ment of data may be equally fatal. It has often happened that attending to some minute discrep- ancy revealed in the classification of data has led to the elucidation of the whole problem. Thus it has become a maxim that no apparent departure from the rule should be treated as trivial. It may mean an error of observation; it has often led, e. g. in Chemistry and Astronomy, to an impor- tant clue. ANALYSIS AND REDUCTION. In many scientific inquiries it is necessary to pass below the every- day facts of experience to those that underlie them. There is a process of analysis or reduction to simpler terms. In order to understand the first facts better we try to resolve them into others, which can be described in simpler or more generalized terms. There are all sorts of analyses and reductions dissecting an annual, cutting microscopic sections of a rock, making a chemical analysis of a substance and their utilization is indispensable. HYPOTHESIS. We mean by a scientific hypoth- esis a provisional formulation, a tentative solu- SCIENTIFIC METHOD 69 tion, and it is part of the scientific method to make them and test them. While there seems to be no doubt that some scientific conclusions have arisen in the mind of the investigator as if by a flash of insight, in the majority of cases the process of discovery is a slower one. The scientific imagination devises a possible solution an hypothesis and the investigator proceeds to test it. He makes intellectual keys and then tries whether they fit the lock. If the hypothesis does not fit, it is rejected and another is made. The scientific workshop is full of discarded keys. It need hardly be said that whether the* hy- pothesis is reached imaginatively or laboriously, whether it is suggested by induction from many particulars or as a deduction from some previously established conclusion, it has to be tried and tested until it rises to the rank of a theory. t TEST EXPERIMENTS AND CONTROL EXPERI- MENTS. The distinction between observation and experiment is not of much importance. In the former we study the natural course of events; in the latter we arrange artificially for certain things to occur. The method of experiment saves time and we can make surer of the condi- tions. In studying the effect of electric discharges on living plants, it would be worse than tedious to wait for the lightning to strike trees in our vicinity, so we mimic the natural phenomena in 70 INTRODUCTION TO SCIENCE the laboratory. In studying phenomena like hybridization, we are obviously on much surer ground with experiment than with observation in natural conditions. Alterations in the conditions of occurrence which it might be difficult or impossible to arrange in Nature can be readily effected in the laboratory. It is thus possible to discover which of the antecedents are causally important. Cattle begin to die of some mysterious epidemic disease; bacteria are found to be abundant in the dead bodies; it is conjectured that the disease is bacterial. Some of the bacteria are peculiar, and it is observed that they occur in all the victims. The hypothesis is made that this particular species of bacterium is responsible for the disease. But since the epoch-making experiments of Koch which showed that Bacillus anthracis is the cause of anthrax (splenic fever, or wool-sorter's disease in man), no one dreams of stopping short of the experimental test. The suspected bacillus is isolated, a pure culture is made, this is injected into a healthy animal, and if the disease ensues the proof is complete. Besides furnishing fresh data, an experiment may be of use at a later stage in scientific proce- dure, namely, in putting the hypothesis to the proof; and much of the success of a scientific worker often depends on his ingenuity in think- SCIENTIFIC METHOD 71 ing out these crucial or test experiments. Let us notice two or three examples. When bacteriology was still in its infancy, and Pasteur was still fighting for his discovery that putrefaction was due to the life of micro-organ- isms in the rotting substance, he put his theory to a crucial test which is continually repeated now-a-days as a class experiment or for practical purposes in the preservation of various foods. He took some readily putrescible substances, steri- lized them by boiling, and hermetically sealed the vessel. No putrefaction occurred. When Von Siebold and his fellow-workers had convinced themselves indirectly that certain bladderworms, e. g. those which occur in the pig and the ox, were the young stages of certain tapeworms which occur in man, they made the crucial and almost heroic experiment of swallow- ing the bladderworms. By becoming soon after- wards infected with the tapeworms they proved the truth of their theory. Or let us take a simple case where the method of exclusion is combined with a control experi- ment. The freshwater crayfish has a sense of smell, as is proved by the rapid way in which it retreats from strong odours. Investigation led to the hypothesis that this sense was located in the antennules or smaller feelers. This was verified by observing that a crayfish bereft of 72 INTRODUCTION TO SCIENCE these appendages did not react to a strong odour, whereas here the control experiment comes in in exactly the same conditions and to the same stimulus another crayfish with its antennules intact did actively respond. Pursuing precisely the same two methods, the investigator proved that the seat of smell was in peculiarly shaped bristles on the outer fork of the antennules. A great experimental philosopher is reported to have said: "Show me the scientific man who never made a mistake, and I will show you one who never made a discovery." This was in allu- sion to the everyday method of "trial and error," which is part of the logic of experimenting. Different hypotheses are tried till the one that fits the facts is found. It is interesting to notice that a scientific con- clusion may sometimes be safely accepted before its demonstration is visibly complete, a famous instance being Harvey's demonstration of the circulation of the blood (1628). From the struc- ture of the heart, the observed flow in different parts of the system, and the valves in the veins, he almost completely demonstrated the circulation. Only one step was awanting. "Harvey's diffi- culty lay in the circumstance that as the micro- scope was not in use, no known path existed by which the blood could be conveyed from the smallest arteries into the smallest veins; there was SCIENTIFIC METHOD 73 a gap in the vascular series, but his demonstra- tion made it a logical certainty that a bridge across this gap was in existence" (Gotch, 1906, p. 47). Although it was not till 1661 that Mal- pighi saw the blood flowing through transparent capillaries from the smallest arteries to the smallest veins, Harvey's demonstration might have passed at once into physiological science (which was far from being its reception) for the simple reason that it was an observed fact that the blood goes on ceaselessly flowing throughout life. The system works, therefore the unseen bridge across the gap must be there. FORMULATION. The final step in scientific method is to sum up what has been proved in terms as clear and terse as possible. A theory is stated, a formula is invented, or, more frequently a new set of facts is brought into subjection to an old law. The theory must fit the facts; it must be a complete and consistent description; its terms must be either directly experimental, or accessible to experimental tests; and it must be impersonal to this extent, that it will appear valid to all who can appreciate the evidence. "The final touchstone," Prof. Karl Pearson says, "is equal validity for all normally consti- tuted minds." Moreover, the theory must be compared with already established conclusions. If there is any discrepancy between the new and 74 INTRODUCTION TO SCIENCE old, some reconsideration of the one or the other, or of both, will be necessary. ' Lord Kelvin was wont to emphasize the dis- tinction between two stages of progress in science, the "Natural History" stage and the "Natural Philosophy" stage. In his introductory lecture (1846) as Professor of Natural Philosophy in Glasgow University a lecture which he repeated for over fifty years he said: "In the progres- sive study of natural phenomena, that is, the phenomena of the external world, the first work is to observe and classify facts; the process of inductive generalization follows, hi which the laws of nature are the objects of research. These two stages of science are designated by the ex- pressions' of natural history and natural philos- ophy." In other words, there is an observational and descriptive stage, followed by generaliza- tion and formulation. It is necessary, then, to make a clear distinc- tion between the raw materials of science and the systematizations which raise these to a higher power. As Prof. P. G. Tait once said: "Descriptive botany, natural history, volumes of astronomical observations, etc., are collec- tions of statements, often facts, from which scientific truth may ultimately be extracted, but they are not science. Science begins to dawn, but only to dawn, when a Copernicus, and after SCIENTIFIC METHOD 75 him a Kepler or a Galilei, sets to work on these raw materials, and sifts from them their essence. She bursts into full daylight only when a Newton extracts the quintessence. There has been, as yet, but one Newton; there have not been very many Keplers." THE SCIENTIFIC USE OF THE IMAGINATION. This was the title of a famous lecture in which Tyndall discussed with eloquence and insight the function of imagination in scientific research, " Bounded and conditioned byco-operant reason," he said, "imagination becomes the mightiest in- strument of the physical discoverer." "There is in the human intellect a power of expansion, I might almost call it a power of creation, which is brought into play by simple brooding over facts, 'the spirit brooding over chaos.' " It may be that the imaginative brooding sug- gests a solution in some way that we do not at present understand life is essentially creative; it may be that there is a more or less unconscious cerebral experimenting; it is certain that letting the mind play among facts has often led to magnificent conclusions. It seems that the solu- tion is often reached first and the proof supplied afterwards. Newton spoke of reaching his dis- coveries "by attending my mind thereunto," but it would be extremely interesting to know more precisely what he meant. The steps by 76 INTRODUCTION TO SCIENCE which he reached his gravitation-formula illus- trate an interlacing of induction and deduction, but we must agree with Prof. Gotch that the law was "the conception of a creative mind gifted with imagination." "In the language of Tyndall, this 'passage from a falling apple to a falling moon' was a stupendous leap of the imagination, for his enunciated law applies in conception to the universe, thus extending into boundless space and persisting through endless time." At the beginning of this chapter we hinted that all methods are transcended by men of gen- ius, whose magnificent operations the history of Science discloses. We cannot give a psychological account of the way in which the greatest of them made their discoveries. Their methods were secondary. "God said, Let Newton be! and there was light." Of Kelvin, his biographer says: "Like Faraday, and the other great masters in science, he was accustomed to let his thoughts become so filled with the facts on which his atten- tion was concentrated that the relations subsist- ing between the various phenomena dawned upon him, and he saw them as if by some process of instinctive vision denied to others. It is the gift of the seer. ..." "His imagination was vivid; in his intense enthusiasm he seemed to be driven, rather than to drive himself. The man was lost SCIENTIFIC METHOD 77 in his subject, becoming as truly inspired as is the artist in the act of creation." What a famous mathematical teacher, Hop- kins,, "who had had, perhaps, more experience of mathematical minds than any man of his time," said of Clerk Maxwell, may also serve to illustrate our point in regard to genius. His striking words were: "It is not possible for that man to think incorrectly on physical subjects." In short, it must be admitted that genius transcends methods. As Prof. Silvanus P. Thompson says in his Life of Lord Kelvin: "Observation, experience, analysis, abstraction, imagination, all these are necessary but are they all? Something seems yet wanting to account for what we call the intuition of the master-mind. It is surely more akin to the innate faculty of the great artist than to the trained powers of the analyst or the logician." THE FUNDAMENTAL POSTULATE OF SCIENCE. There is one fundamental postulate underlying scientific procedure, a postulate which is verified with every fresh step. It is the postulate of the Uniformity of Nature. This, which may be ana- lysed into a number of postulates, means that for our human purposes there is stability in the properties of things, that the same situations are continually recurring, that there is a routine in the order of Nature a routine without gaps or 78 INTRODUCTION TO SCIENCE interpolations, in which every event is deter- mined by antecedent events. Clerk Maxwell discussed the Uniformity of Nature in his famous Discourse on Molecules (1873). "In the heavens we discover by their light, and by then* light alone, stars so distant from each other that no material thing can ever have passed from one to another; and yet this light, which is to us the sole evidence of the existence of these distant worlds, tells us also that each of them is built up of molecules of the same kinds as those which we find on earth. A mole- cule of hydrogen, for example, whether in Sirius or in Arcturus, executes its vibrations in pre- cisely the same time. "Natural causes, as we know, are at work which tend to modify, if they do not at length destroy, all the arrangements and dimensions of the earth and the whole solar system. But though in the course of ages catastrophes have occurred and may yet occur in the heavens, though ancient systems may be dissolved and new systems evolved out of their ruins, the mole- cules out of which these systems are built the foundation-stones of the material universe re- main unbroken and unworn. They continue this day as they were created perfect in number and measure and weight. . . ." SCIENTIFIC METHOD 79 In the more exact sciences such as astronomy the verification of the uniformity is complete, since the routine of sequences can be summed up in rigid mechanical formulae. We cannot do this in Biology, yet here also we make and verify the postulate of the Uniformity of Nature. In spite of a strong personal element in many living creatures which makes then* behaviour in complicated situations unpredictable, there are uniformities both of action and reaction. With- out these, indeed, there could not be a science of Biology at all, but with these there is a basis for calculation, prediction, and action, which is reliable, though not to the same degree as that afforded by the more exact sciences. SUMMARY. The logic of scientific discovery is chiefly an intricate interlacing of induction and deduction. While genius has counted for much in the history of science, many great discoveries have been the harvest of a keen-ege and an inquisitive spirit. The first step in scientific procedure is to collect data, and all science begins with measure- ment. The second step is the arrangement and classification of facts. Auxiliary to this and to formulation is the process of analysis or reduction to^simpler terms. In order to fulfil the aim of describing facts of experience as exactly as possible, as simply as possible, as completely as possible, it is often necessary to try one hypothesis after 80 INTRODUCTION TO SCIENCE another. An important step in procedure is the carrying out of test experiments. The final result .> is a general formula or a law of Nature, or, more frequently, the inclusion of a new set of facts within an old law. At every step imagination counts and its highest flights are called genius. The funda- mental postulate of science is the Uniformity of Nature. CHAPTER IV CLASSIFICATION OF THE SCIENCES "The divisions of the sciences are not like different lines that meet in one angle, but rather like the branches of trees that join in one trunk." BACON. The Convenience and the Difficulties of Classification Bacon's Classification Comte's Classification Spencer's Classification Bain's Classification Karl Pearson's Clas- sification Bio-physics Exact Science The Classifica- tion Adopted The Interest of the Classification of the Sciences The Correlation of the Sciences Summary. THE CONVENIENCE AND THE DIFFICULTIES OF CLASSIFICATION. Science takes the whole known universe for its province, and every com- municable verifiable fact of experience is included among its data. This is such a large order that it is obviously convenient to have some classi- fication. Moreover, although there is nothing but mis-education to hinder an intelligent citizen from having a scientific interest in many different orders of facts, tastes differ, and an intellectual division of labour naturally arises. As a matter of fact, the long discipline which every science 81 82 INTRODUCTION TO SCIENCE requires renders it impossible for any ordinary man to succeed in gaining a masterly familiarity with more than one department of knowledge. The classification of the sciences is a matter of practical and intellectual convenience, but it is full of difficulties and raises very deep ques- tions. If it be made too detailed, there is the risk of losing sight of the unity of knowledge; if it be made too general, there is the risk of denying to particular sciences that autonomy which the distinctive character of then* subject- matter warrants. A compromise has to be made between two desirabilities. It is plain, for in- stance, that Botany and Zoology need not be separated witl^ great insistence; they may be united without serious fallacy under the title Biology. On the other hand, there are good rea- sons for y saying that it is a fallacy of the gravest sort to* include Biology as a special section of Physics and Chemistry. There are similar difficulties in teaching and learning. Too great specialization leads to pedantry; too little of it to superficiality. When our aim is to get a grip of scientific method, we are more likely to succeed by settling down to the thorough study of some one order of facts, than by indulging in an intellectual ramble through the universe. On the other hand, when we wish fresh points of view and new impulse CLASSIFICATION OF SCIENCES 83 to the scientific imagination, we require width of knowledge and contacts between different disciplines. There seems to be a peculiar fascination in attempting to classify the sciences, ( and many great intellects have puzzled over the problem. Thus we find Hfcxley, at the age of seventeen, writing: "I have for some time been pondering over a classification of knowledge. My scheme is to divide all knowledge in the first* place into two grand di visions ^ (1) Objective that for which a man is indebted to the external world; and (2) Subjective that which he has acquired or may acquire by inward contemplation." He proposed this scheme: *. * 4 .* SUBJECTIVE OBJECTIVE Metaphysics Metaphysics Maths. Logic Theology Morality History Physiology Physics proper There have been dozens of classifications of the sciences, which have been dealt with in a very learned way by the late Prof. Robert Flint, but it is far from our purpose to discuss them here. We shall not do more than refer to a few which illustrate particular points. BACON'S CLASSIFICATION. In his "Intellec- tual Globe," Francis Bacon (1561-1626) recog- nized three big departments of human learning 84 INTRODUCTION TO SCIENCE History, Poesy, and Philosophy or the Sciences. History, based on Memory, was divided into "Natural" and "Civil," a reminiscence of which is found in the title "Natural and Civil History" which was borne till lately by more than one Scottish Professorship. Poesy was based on the faculty of Imagination. Philosophy or the Sci- ences, based on Reason, included Divinity, which has to do with revelation, and Natural Phil- osophy, which has to do with God, Nature, and Man. The department dealing with Nature included Mathematics, Physics (Material and Secondary Causes), and Metaphysics (Form and Final Causes). It is obvious that this classifica- tion does not help us much to-day, but it is very interesting, as Prof. Karl Pearson points out, to notice the suggestion that the sciences are not like different lines that meet in one angle, but rather like branches of a tree that meet in one stem, "which stem grows for some distance entire and continuous before it divides itself into arms and boughs." There is here a sug- gestion at once of unity and of evolution. Since the divisions of the sciences are "like the branches of trees that join in one trunk," "it is first necessary that we constitute a univer- sal science as a parent to the rest, and as making a common road to the sciences before the ways separate." This "universal science" was a CLASSIFICATION OF SCIENCES 85 "primary or summary philosophy," and included an inquiry into " transcendentals, or the adven- titious conditions of beings." Bacon's scheme formed the basis of the gigantic work of the French Encyclopaedists, but they might well have had a better. It was founded on a false idea of Memory, Imagination, and Reason as separate faculties, giving rise to separate depart- ments of knowledge, and it is full of what seems to us to-day to be extraordinary confusion, such as the entire separation of History from Science, and the separation of Man from Nature. COMTE'S CLASSIFICATION. Auguste Comte (1798-1357) recognized six fundamental sciences: Mathematics, Astronomy, Physics, Chemistry, Biology, and Sociology; and a seventh supreme or final science of Morals. These, he said, form a linear series, indicative of the order of evolution, for a relatively simple, abstract, and independent science must, he maintained, always come before the relatively more special, complex, and depen- dent. There were two great ideas here, though both were exaggerated. The first is, that the sciences should contribute to the guidance of human conduct, for in morals there is the "synthet- ical terminus of the whole scientific construction." In other words, Science should afford the broad basis for the Art of Life. The second is, that the sciences form a hierarchy, those that deal with 86 INTRODUCTION TO SCIENCE the more complex orders of facts being dependent on those that deal with less complex orders of facts. It does not seem to us that the facts of life can be re-stated in the formulae of chemistry and physics, or that the biologist holds in his hands the key to the problems of human society, but it is certain that an understanding and also a control of the organism has been greatly fur- thered by chemical and physical inquiries, and that the data of biology are full of suggestion to the sociologist. Comte's insistence on the inter-dependence and correlation of the sciences was sound. The idea of a linear series, however, is falla- cious if taken literally. It does not express an historical fact that Biology evolved or evolves from Chemistry and Physics; Astronomy can- not be separated off as a fundamental science from Physics and Chemistry, nor did it supply the foundations of Physics; Mathematics may be justly called the most fundamental of the sciences, but it is abstract and not in line with Physics, Chemistry, and Biology, which are descriptive. The ranking of Psychology as a department of Physiology (Biology) abandons the autonomy of that very distinctive science quite gratuitously and fallaciously, we venture to think. SPENCER'S CLASSIFICATION. Herbert Spencer (1864) emphasized the distinction between the CLASSIFICATION OF SCIENCES 87 Abstract Sciences of Logic and Mathematics, which deal with modes or methods of scientific description, and the Concrete Sciences which are the scientific descriptions. Thus Mathematics is obviously an abstract science, applicable to all sorts of things, but never inquiring what sort of things they are. "The broadest natural division of the sciences is, he affirmed, that between sciences which deal with the abstract relations under which phe- nomena are presented to us, and those which deal with the phenomena themselves between sciences which deal with the mere blank forms of existence, and those which deal with real ex- istences" (Flint, 1904, p. 227). Among the lat- ter, Spencer distinguished the Abstract-Concrete Sciences, such as Mechanics, Physics, and Chem- istry which treat of realities in their elements, or of the real relations implicated in certain classes of facts, and the Concrete Sciences, Astronomy, Geol- ogy, Biology, Psychology, and Sociology, which deal with realities in their totalities, or with aggregates of phenomena. "From the beginning," he says, "the Abstract Sciences, the Abstract-Concrete Sciences, and the Concrete Sciences have progressed together, the first solving problems which the second and third presented, and growing only by the solution of the problems; and the second similarly growing 88 INTRODUCTION TO SCIENCE by joining the first in solving the problems of the third. All along there has been a continuous action and reaction between the three great classes of sciences." SPENCER'S SCHEME Group I. Abstract Sciences: LOGIC AND MATHEMATICS Group II. Abstract-Concrete Sciences: Mechanics, Phy- sics, Chemistry Group III. Concrete Sciences : Astronomy, Geology, Biol- ogy, Psychology, Sociology "The three groups of Sciences may be briefly defined as laws of the forms, laws of the factors, laws of the products." "The first, or Abstract group, is instrumental with respect to both the others; and the second, or Abstract-Concrete group, is instrumental with respect to the third or Concrete group." "The second and third groups supply subject- matter to the first, and the third supplies subject- matter to the second; but none of the truths which constitute the third group are of any use as solvents of the problems presented by the second group; and none of the truths which the second group formulates can act as solvents of problems contained in the first group." In this scheme, as Prof. Flint pointed out, "Spencer would seem to have himself constructed a series of sciences of the very kind which, in CLASSIFICATION OF SCIENCES 89 opposition to Comte, he declared to be impossible. Comte meant no more by calling one science logically dependent on another than that the one placed first is instrumental as regards the one placed last, while the latter is not instrumental as regards the former. If there be a number of sciences dealing with fundamentally distinct phenomena, and so related that every antecedent is instrumental as regards every consequent, and no consequent is instrumental as regards any antecedent, a series of sciences is constituted which represents the logical dependence of its members. Spencer started with denying that there was any such series, but ended by impli- citly showing that there was one. His own clas- sification, taken in connection with the passage quoted, was a decisive refutation of what was extreme in his own criticism of the Comtist scheme. So far from having succeeded in over- throwing that scheme he only at the utmost succeeded in slightly modifying it. "There is a logical dependence of the sciences. And why? Just because there is a natural depen- dence of phenomena. The quantitative relations with which mathematics deals are more general than the mechanical laws which physics brings to light; there can be no chemical combinations unconditioned by physical properties; vital func- tions never appear apart from chemical processes; 90 INTRODUCTION TO SCIENCE and there must be life before there can be con- sciousness. That remarkable hierarchy of phe- nomena is a fact which a cloud of abstract lan- guage or a covering of subtle reasoning may to some extent and for a short while conceal from our view, but which no language or reasoning can efface or even long obscure. And there being such a hierarchy of phenomena, it is scarcely conceivable that there should be no correspond- ing hierarchy of sciences" (Flint, 1904, p. 231). We have quoted this strong opinion from an authority who earned a high reputation in deal- ing with philosophical questions, but it appears to us to require some safeguarding in one direc- tion in particular, to which we have already referred, and must refer yet again. There are, of course, physical and chemical processes in the living body; we may speak of the physics and chemistry of organisms; but these do not con- stitute biology, nor do they directly contribute to the solution of biological problems, which have primarily to do with the ways of living creatures as such. One of the features of Spencer's classification which has been much criticized and justly, as it seems to us is the awkward naming and grouping of the "Abstract-Concrete" Sciences, which included Mechanics, Physics, Chemistry and Sciences of Light, Heat, Electricity, and CLASSIFICATION OF SCIENCES 91 Magnetism. It is difficult to see why Mechanics should be called "abstract-concrete," or why the Sciences of Heat, Light, etc., are not included under Physics, and so on. BAIN'S CLASSIFICATION. Prof. Alexander Bain distinguished Fundamental (or Abstract) Sciences from Dependent (or Concrete) Sciences, and in so doing, apart from the nomenclature, he made a distinct step of progress. It is evident that Geography (one of the dependent sciences) is de- rivative, complex, and particulate, as contrasted with Physics (one of the fundamental sciences), which is independent, simple, and general. The fundamental sciences, according to Bain, were Logic, Mathematics, Mechanics or Mechan- ical Physics, Molecular Physics, Chemistry, Biol- ogy, and Psychology. "In every one of these," he said, "there is a distinct department of phe- nomena; taken together they comprehend all known phenomena, and the order indicated is the order from simple to complex, and from indepen- dent to dependent, marking the order of study and evolution." Taken collectively "they con- tain the laws of every known process in the world, whether of matter or of mind; and set forth these laws in the order suitable for studying and comprehending them to the greatest possible advantage." The dependent sciences include Mineralogy. 92 INTRODUCTION TO SCIENCE Meteorology, Geography, Botany, Zoology, Phi- lology, and Sociology the point in the definition being that "no one of them involves any opera- tion but what is expounded in the fundamental or departmental sciences." Thirdly, Bain suggested a third group of Prac- tical Sciences, but here his usual clearness of thought is less evident. For he includes within one very elastic band no only what we now call "Applied Sciences," but also some of the arts like Architecture, and several sub-sciences like ^Es- thetics (surely a division of Psychology), not to speak of Ethics and Economics. The idea of his third group was a good one but the contents formed, as Flint says, "an artificial and hetero- geneous conglomeration." The same authority protests against the exclusion of Metaphysics and Theology, a procedure common to Comte, Spencer, and Bain; but concedes that as regards the classi- fication of the Sciences properly so-called Bain's Scheme "may well be regarded as an improve- ment on Comte's and much superior to Spencer's." KARL PEARSON'S CLASSIFICATION. One of the clearest of recent maps of knowledge is that furnished by Prof. Karl Pearson in his Grammar of Science. He distinguishes, to begin with, the Abstract Sciences, which deal with modes of discrimination, from the Concrete Sciences, which deal with the contents of perception. The Ab- CLASSIFICATION OF SCIENCES 93 stract Sciences include Logic and other "method- ological " disciplines, and mathematics with its many subdivisions including Statistics. The Concrete Sciences include (1) the Phys- ical Sciences, which deal with inorganic phe- nomena, and (2) the Biological Sciences, which deal with organic phenomena. The Physical Sciences are divided by Pearson into the Precise and the Synoptic, the latter always decreas- ing as the former increase. Astronomy is in greater part precise, meteorology is in greater part synoptic. "In the one case we have not only a rational classification of facts, but we have been able to conceive a brief formula, the law of gravi- tation, which accurately resumes these facts. We have succeeded in constructing, by aid of ideal particles, a conceptual mechanism which describes astronomical changes. In the other case we may or may not have reached a perfect classification of facts, but we certainly have not been able to formulate our perceptual experience in a mechan- ism or conceptual motion, which would enable us to precisely predict the future." (1) THE PHYSICAL SCIENCES those dealing with Inorganic Phenomena are divided by Pear- son into the following: Precise Physical Sciences (reduced to ideal motions) . 94 INTRODUCTION TO SCIENCE Physics of the Ether, e. g. dealing with Heat, Light, Electricity, Magnetism. Atomic Physics, e. g. Theoretical Chemistry, Spectrum Analysis. Molecular Physics, e. g. dealing with Elasticity, Sound, Crystallography, Hydro-mechan- ics, Theory of the Tides, Kinetic Theory of Gases. Molar Physics, e. g. Mechanics, Planetary The- ory, Lunar Theory. Synoptic Physical Sciences (not reduced to ideal motions). Chemistry, Mineralogy, Geology, Geography, Meteorology, Inorganic Evolution of the Earth and the Planetary System. The Precise and the Synoptic Physical Sciences, respectively, "correspond very closely to the phe- nomena of which we have constructed a con- ceptual model by aid of elementary corpuscles having ideal motions, and to the phenomena which have not been reduced to such a conceptual description." . . . "Thus Synoptic Physical Sci- ence is rather Precise Physical Science in the making than qualitatively distinct from it. It embraces large classifications of facts which we are continually striving to resume in simple formulae or laws, and, as usual, these laws are laws of Motion. Thus considerable portions of CLASSIFICATION OF SCIENCES 95 the Synoptic Physical Sciences are already precise, or in process of becoming precise. This is notably the case with Chemistry, Geology and Mineralogy. (2) THE BIOLOGICAL SCIENCES those dealing with Organic Phenomena are divided by Pear- son as follows: First, there are those branches of biological science which deal with the spatial relations, or the localization of living creatures. Here Pearson includes the study of the Distribution of Living Forms (Chorology) and the study of habits in relation to environment (Ecology). "These form the major portion of what in the old sense was termed Natural History." [Prof. Pearson's classi- fication seems to us, in this instance, too hard and fast. The distinctive feature of animal behaviour is certainly not its spatial relation.] Secondly, there are those branches of biological science which deal with sequence in time with growth or change. The non-recurring phases are called Evolution (of plants, animals, and man); the recurring phases are called Growth. The study of non-recurring growth is History; the study of recurring growth is Biology in the nar- rower sense. [This seems to us again too hard and fast. Thus we do not think that the trans- formation through variation and selection which is at the heart of racial evolution, and the differen- tiation and integration which are at the heart of 96 INTRODUCTION TO SCIENCE individual development, can be lumped in the conception of Growth.] Biology is further subdivided, by Pearson, into three great divisions, according as it deals (a) with form and structure (Morphology, Anatomy, Histology, etc.) ; (6) with growth and reproduction (the topics dealt with in the Evolution of Sex, the Theory of Heredity, and Embryology); and (c) with functions and actions, which may be studied from the physical side (Physiology) or from the mental side (Psychology). The branch of Psychology which deals with men in the group is Sociology, which falls into such branches as the Science of Morals, the Science of Politics. Political Economy, and Jurisprudence. PEARSON'S SCHEME (In outline only.) ABSTRACT SCIENCE: Logic. Mathematics, Sta- tistics, Applied Mathematics, a cross-link between Abstract and Concrete Science. CONCRETE SCIENCE: (1) The Physical Sciences including Precise Physical Sciences (Phys- ics of the Ether, Atomic Physics, Molecu- lar Physics, Molar Physics) and Synoptic Physical Sciences (Chemistry, Mineralogy, Geology, Geography, Meteorology, etc.). (2) The Biological Sciences including CLASSIFICATION OF SCIENCES 97 Chorology and Ecology, Biology in the narrower sense (the study of structure, the study of growth and reproduction, the study of functions, Psychology, and Sociology, and finally History (including the study of organic as well as human evolution). BIO-PHYSICS. To his long list of sciences Prof. Pearson would add another a cross-link between Physical and Biological Sciences which he calls Bio-physics. This science particularly excites our interest, for in spite of its very shadowy nature (even Pearson admitting that it "does not appear to have advanced very far at present") the idea of it is provocative and raises the kind of ques- tion which makes the problem of classifying the sciences of deep importance. Prof. Pearson says that "life invariably occurs associated with sense-impressions similar to those of lifeless forms," and that "organisms appear to have chemical and physical structure differing only in complexity from inorganic forms." But our impression is that the difference in complexity has involved a difference in kind, such that the interpretative formulae of the physical sciences do not suffice for the description of the growth and activities, the development and evolution of organisms. Living creatures are historic beings, 98 INTRODUCTION TO SCIENCE and in studying them we have to do with behav- iour quite different from the movements of lifeless forms. Prof. Pearson continues: "Although we cannot definitely assert that life is a mechanism, until we know more exactly what we mean by the term mechanism as applied to organic corpuscles, there still seems little doubt that some of the generalizations of physics notably the great principle of the conservation of energy do describe at least part of our perceptual experience of living organisms." Admitting this, and the fact that there are physical and chemical processes in the living body which receive physical and chemical formulation, we do not regard these as distinctive of the living creature. Many of them, such as digestion, may occur outside the living body altogether, in a test-tube for instance. In short, we do not find that a knowledge of these isolated items helps us to describe hi physical terms the life and behav- iour, the development and evolution of living creatures. According to Pearson, however, "a branch of science is needed dealing with the application of the laws of inorganic phenomena, or Physics, to the development of organic forms. This branch of science which endeavours to show that the facts of Biology of Morphology, Embryology, and Physiology constitute particular cases of general CLASSIFICATION OF SCIENCES 99 physical laws has been termed Etiology. It would be perhaps better to call it Bio-physics" But the term Etiology is already in recognized use for a biological inquiry into the factors in organic evolution, such as variation and heredity, selection and isolation, and it will remain a sound branch of the biological tree even though no success rewards the attempt to describe evolution in terms of the laws of physics. Prof. Pearson's idea is different. Just as Applied Mathematics is "the process of analysing inorganic phenomena by aid of ideal elementary motions," and thus links Abstract to Concrete Science, so Bio-physics attempts to link the Physical and Biological Sciences together. Pearson presents this view in a scheme: Applied ("ABSTRACT SCIENCE Mathematics \ a cross-link I CONCRETE SCIENCE PHYSICS BIOLOGY Y Bio-physics a cross-link "Applied Mathematics and Bio-physics are thus the two links between the three great divisions of 100 INTRODUCTION TO SCIENCE Science, and only when their work has been fully accomplished shall we be able to realize von Helmholtz's prediction and conceive all scientific formulae, all natural laws, as laws of motion. This goal we must, however, admit is at present indefinitely distant." Not only so, but as the only Bio-physics we know of is the physical and chemical study of various processes that occur in organisms, and as no vital function whatever has yet been re- described in bio-physical terms, and as the results of bio-physical analysis do not seem to help us to understand the growth and activities, the development and evolution of living creatures which require interpretations different in kind from those of Physics we are of opinion that Bio-physics might be completed without Biology having more than begun. It is greatly to be regretted that an elaborate and vividly clear classification of the sciences by Prof. Patrick Geddes has not yet been published, and therefore cannot be included here, though the most convincing one we know. Some indica- tion of it may be obtained from the following scheme of anthropological studies published in 1903 by Prof. A. C. Haddon, for which he was largely indebted to Prof. Geddes: EXACT SCIENCE. We have seen that Prof. Karl Pearson has distinguished Precise Physical CLASSIFICATION OF SCIENCES 101 h O gg ^fe JH ii ll li gg ii P I! ^1 H H < 55 MO aj ai 5 5|, 5 . ECONOMICS POLITICS lll| ANTHROPOLOG ECOLOGY COMPAKATI HUMAN PHYSIOLOG i i SOCIAL TAXONOMY ANALYSIS OF INSTITUTIONS AND TECHNOLOGY RACIAL CLASSIFI- CATION OF MAN COMPARATIVE HUMAN ANATOMY TAXONOMY ANATOMY o 2; 00 > o HZ Q s 1 i i III B MI si s g i 91 ! H | H < Pi : W 2 \ w 102 INTRODUCTION TO SCIENCE Sciences from Synoptic Physical Sciences. In the former, such as Molar and Molecular Physics, the processes can be described in terms of ideal motions; in the latter, such as Chemistry and Geology, this can be done only in part. But portions of the Synoptic Sciences are always passing into the Precise Sciences. The term "Exact Science" may be used more generally to indicate all science that has resolutely begun to "measure," including in "measurement" all forms of precise registration. Not a little of the modern work in pyschology is very exact, but the description of its subject-matter "in terms of ideal motions" is certainly not its end. In further illustration, let us ask why we hesi- tate in applying to Biology the term "Exact Science" which we unhesitatingly accord to Astronomy. The reasons are two, intrinsic and extrinsic. The intrinsic reason is that Biology deals with living creatures, which are personal agents, variable and spontaneous, always to some extent unpredictable. We deal in Biology with an order of phenomena more complex than in Astronomy, and our knowledge is proportionately lacking in exactness. The extrinsic reason is that Biology is a young science and Astronomy a very old one. The Astronomer is a master-workman, the Biologist CLASSIFICATION OF SCIENCES 103 still only an apprentice. In a lecture on Inher- itance, the late Prof. W. F. R. Weldon put this matter very clearly: "The ideal description of every experience, the description which alone makes further progress possible, is a description of all the results obtained, and not a statement which largely ignores the inconsistencies observed. The reason why astronomers, and physicists, and chemists can so often afford to neglect the inconsistencies of then- experience without making themselves ridiculous is that by great labour they have already succeeded in confining the limits within which these inconsistencies occur, so that the proportion of the whole experience affected by them is very small. But biologists have not yet advanced so far as this: The margin of uncertainty in their experience is still so large that they are obliged to take account of it in every statement they make." Yet the work which Prof. Weldon himself did in connection with variation, heredity, and selection was symptomatic of the movement towards exactness that has recently character- ized even the most difficult departments of Biology, those dealing with Evolution. There has been for a long time much exact science in comparative anatomy and physiology, but in recent years the labours of the biometricians on the one hand, and of the experimental zoologists 104 INTRODUCTION TO SCIENCE on the other, have done much to bring the study of evolution-problems nearer the ideal of exact science. CLASSIFICATION ADOPTED. Combining what appear to us to be the chief merits of the fore- going classifications, we propose the following map: A. ABSTRACT, FORMAL, or METHODOLOGICAL SCIENCES. These deal with methods of inference, supply intellectual instruments for investigation, and test the consistency and completeness of scien- tific descriptions. MATHEMATICS, including STATISTICS. LOGIC, in the widest sense. METAPHYSICS. B. CONCRETE, DESCRIPTIVE, or EXPERIEN- TIAL SCIENCES. These deal with the facts of experience and with inferences from these facts. They include five general or fundamental sciences and a large number of particulate or derivative sciences. B. 1. The five great fundamental sciences are: CLASSIFICATION OF SCIENCES 105 ANIMATE ORDER PURELY PHYSICAL ORDER SOCIOLOGY is the science of the structure and life, growth and evolution of societary forms or social groups. PSYCHOLOGY is the science of the subjective aspect of behaviour, of Man and of animals. In the human sphere Psychology has the fascinating distinction, as compared with other sciences, that "the instruments of investigation are also the objects of research." BIOLOGY is the science of the structure and activity, development and evolution of organisms, including Man. PHYSICS is mainly the science of the transfor- mations of Energy (Energetics). CHEMISTRY is mainly the science of the differ- ent kinds of matter, their transformations, affinities, and interactions. It is par ex- cellence the science of molecules and atoms. 106 INTRODUCTION TO SCIENCE APPLIED. the space.) OLITICS Civics ONOMICS ICS EDUCATIO ETH CA S- >" M fi s o ft All NAVIGAT ENGINEER ARCHITEC AGRI MET CE OF HISTORY La II PI o 3 >> S Ew$