THE GRAMMAR OF SCIENCE (1903)
OF all the travels made by man since the voyages of Dante, this new exploration along the shores of Multiplicity and Complexity promised to be the longest, though as yet it had barely touched two familiar regions — race and sex. Even within these narrow seas the navigator lost his bearings and followed the winds as they blew. By chance it happened that Raphael Pumpelly helped the winds; for, being in Washington on his way to Central Asia he fell to talking with Adams about these matters, and said that Willard Gibbs thought he got most help from a book called the "Grammar of Science," by Karl Pearson. To Adams's vision, Willard Gibbs stood on the same plane with the three or four greatest minds of his century, and the idea that a man so incomparably superior should find help anywhere filled him with wonder. He sent for the volume and read it. From the time he sailed for Europe and reached his den on the Avenue du Bois until he took his return steamer at Cherbourg on December 26, he did little but try to kind out what Karl Pearson could have taught Willard Gibbs.
Here came in, more than ever, the fatal handicap of ignorance in mathematics. Not so much the actual tool was needed, as the right to judge the product of the tool. Ignorant as one was of the finer values of French or German, and often deceived by the intricacies of thought hidden in the muddiness of the medium, one could sometimes catch a tendency to intelligible meaning even in Kant or Hegel; but one had not the right to a suspicion of error where the tool of thought was algebra. Adams could see in such parts of the "Grammar" as he could understand, little more than an enlargement of Stallo's book already twenty years old. He never found out what it could have taught a master like Willard Gibbs. Yet the book had a historical value out of all proportion to its science. No such stride had any Englishman before taken in the lines of English thought. The progress of science was measured by the success of the "Grammar," when, for twenty years past, Stallo had been deliberately ignored under the usual conspiracy of silence inevitable to all thought which demands new thought-machinery. Science needs time to reconstruct its instruments, to follow a revolution in space; a certain lag is inevitable; the most active mind cannot instantly swerve from its path; but such revolutions are portentous, and the fall or rise of half-a-dozen empires interested a student of history less than the rise of the "Grammar of Science," the more pressingly because, under the silent influence of Langley, he was prepared to expect it.
For a number of years Langley had published in his Smithsonian Reports the revolutionary papers that foretold the overthrow of nineteenth-century dogma, and among the first was the famous address of Sir William Crookes on psychical research, followed by a series of papers on Roentgen and Curie, which had steadily driven the scientific lawgivers of Unity into the open; but Karl Pearson was the first to pen them up for slaughter in the schools. The phrase is not stronger than that with which the "Grammar of Science" challenged the fight: "Anything more hopelessly illogical than the statements with regard to Force and Matter current in elementary textbooks of science, it is difficult to imagine," opened Mr. Pearson, and the responsible author of the "elementary textbook," as he went on to explain, was Lord Kelvin himself. Pearson shut out of science everything which the nineteenth century had brought into it. He told his scholars that they must put up with a fraction of the universe, and a very small fraction at that — the circle reached by the senses, where sequence could be taken for granted — much as the deep-sea fish takes for granted the circle of light which he generates. "Order and reason, beauty and benevolence, are characteristics and conceptions which we find solely associated with the mind of man." The assertion, as a broad truth, left one's mind in some doubt of its bearing, for order and beauty seemed to be associated also in the mind of a crystal, if one's senses were to be admitted as judge; but the historian had no interest in the universal truth of Pearson's or Kelvin's or Newton's laws; he sought only their relative drift or direction, and Pearson went on to say that these conceptions must stop: "Into the chaos beyond sense-impressions we cannot scientifically project them." We cannot even infer them: "In the chaos behind sensations, in the 'beyond' of sense-impressions, we cannot infer necessity, order or routine, for these are concepts formed by the mind of man on this side of sense-impressions"; but we must infer chaos: "Briefly chaos is all that science can logically assert of the supersensuous." The kinetic theory of gas is an assertion of ultimate chaos. In plain words, Chaos was the law of nature; Order was the dream of man.
No one means all he says, and yet very few say all they mean, for words are slippery and thought is viscous; but since Bacon and Newton, English thought had gone on impatiently protesting that no one must try to know the unknowable at the same time that every one went on thinking about it. The result was as chaotic as kinetic gas; but with the thought a historian had nothing to do. He sought only its direction. For himself he knew, that, in spite of all the Englishmen that ever lived, he would be forced to enter supersensual chaos if he meant to find out what became of British science — or indeed of any other science. From Pythagoras to Herbert Spencer, every one had done it, although commonly science had explored an ocean which it preferred to regard as Unity or a Universe, and called Order. Even Hegel, who taught that every notion included its own negation, used the negation only to reach a "larger synthesis," till he reached the universal which thinks itself, contradiction and all. The Church alone had constantly protested that anarchy was not order, that Satan was not God, that pantheism was worse than atheism, and that Unity could not be proved as a contradiction. Karl Pearson seemed to agree with the Church, but every one else, including Newton, Darwin and Clerk Maxwell, had sailed gaily into the supersensual, calling it: —
"One God, one Law, one Element, And one far-off, divine event, To which the whole creation moves."
Suddenly, in 1900, science raised its head and denied.
Yet, perhaps, after all, the change had not been so sudden as it seemed. Real and actual, it certainly was, and every newspaper betrayed it, but sequence could scarcely be denied by one who had watched its steady approach, thinking the change far more interesting to history than the thought. When he reflected about it, he recalled that the flow of tide had shown itself at least twenty years before; that it had become marked as early as 1893; and that the man of science must have been sleepy indeed who did not jump from his chair like a scared dog when, in 1898, Mme. Curie threw on his desk the metaphysical bomb she called radium. There remained no hole to hide in. Even metaphysics swept back over science with the green water of the deep-sea ocean and no one could longer hope to bar out the unknowable, for the unknowable was known.
The fact was admitted that the uniformitarians of one's youth had wound about their universe a tangle of contradictions meant only for temporary support to be merged in "larger synthesis," and had waited for the larger synthesis in silence and in vain. They had refused to hear Stallo. They had betrayed little interest in Crookes. At last their universe had been wrecked by rays, and Karl Pearson undertook to cut the wreck loose with an axe, leaving science adrift on a sensual raft in the midst of a supersensual chaos. The confusion seemed, to a mere passenger, worse than that of 1600 when the astronomers upset the world; it resembled rather the convulsion of 310 when the Civitas Dei cut itself loose from the Civitas Romae, and the Cross took the place of the legions; but the historian accepted it all alike; he knew that his opinion was worthless; only, in this case, he found himself on the raft, personally and economically concerned in its drift.
English thought had always been chaos and multiplicity itself, in which the new step of Karl Pearson marked only a consistent progress; but German thought had affected system, unity, and abstract truth, to a point that fretted the most patient foreigner, and to Germany the voyager in strange seas of thought alone might resort with confident hope of renewing his youth. Turning his back on Karl Pearson and England, he plunged into Germany, and had scarcely crossed the Rhine when he fell into libraries of new works bearing the names of Ostwald, Ernst Mach, Ernst Haeckel, and others less familiar, among whom Haeckel was easiest to approach, not only because of being the oldest and clearest and steadiest spokesman of nineteenth-century mechanical convictions, but also because in 1902 he had published a vehement renewal of his faith. The volume contained only one paragraph that concerned a historian; it was that in which Haeckel sank his voice almost to a religious whisper in avowing with evident effort, that the "proper essence of substance appeared to him more and more marvellous and enigmatic as he penetrated further into the knowledge of its attributes — matter and energy — and as he learned to know their innumerable phenomena and their evolution." Since Haeckel seemed to have begun the voyage into multiplicity that Pearson had forbidden to Englishmen, he should have been a safe pilot to the point, at least, of a "proper essence of substance" in its attributes of matter and energy: but Ernst Mach seemed to go yet one step further, for he rejected matter altogether, and admitted but two processes in nature — change of place and interconversion of forms. Matter was Motion — Motion was Matter — the thing moved.