Chapter XXXI. The Grammar of Science (1903)
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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
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