Chapter III · THE ART OF THINKING (continued 2)

Einstein is not—and this is the essential point to make clear—merely an artist in his moments of leisure and play, as a great statesman may play golf or a great soldier grow orchids. He retains the same attitude in the whole of his work. He traces science to its roots in emotion, which is exactly where art also is rooted. Of Max Planck, the physicist, for whom he has great admiration, Einstein has said: “The emotional condition which fits him for his task is akin to that of a devotee or a lover.” We may say the same, it would seem, of Einstein himself. He is not even to be included, 137as some might have supposed, in that rigid sect which asserts that all real science is precise measurement; he recognises that the biological sciences must be largely independent of mathematics. If mathematics were the only path of science, he once remarked, Nature would have been illegible for Goethe, who had a non-mathematical, even anti-mathematical, mind, and yet possessed a power of intuition greater than that of many an exact investigator.^[52] All great achievements in science, he holds, start from intuition. This he constantly repeats, although he adds that the intuition must not stand alone, for invention also is required. He is disposed to regard many scientific discoveries commonly regarded the work of pure thought as really works of art. He would have this view embodied in all education, making education a free and living process, with no drilling of the memory and no examinations, mainly a process of appeal to the senses in order to draw out delicate reactions. With his end, and even for the sake of acquiring ethical personality, he would have every child learn a handicraft, joinery, bookbinding, or other, and, like Élie Faure,^[53] he has great faith in 138the educational value of the cinema. We see that behind all Einstein’s activity lies the conception that the physicist’s work is to attain a picture, “a world-picture,” as he calls it. “I agree with Schopenhauer,” Einstein said at a celebration in honour of Planck in 1918, “that one of the most powerful motives that attract people to science and art is the longing to escape from everyday life with its painful coarseness and desolating bareness, and to break the fetters of their own ever-changing desires. It impels those of keener sensibility out of their personal existences into the world of objective perception and understanding. It is a motive force of like kind to that which drives the dweller in noisy confused cities to restful Alpine heights whence he seems to have an outlook on eternity. Associated with this negative motive is the positive motive which impels men to seek a simplified synoptic view of the world conformable to their own nature, overcoming the world by replacing it with this picture. The painter, the poet, the philosopher, the scientist, all do this, each in his own way.” Spengler has elaborately argued that there is a perfect identity of physics, mathematics, religion, and great art.^[54] We might fairly be allowed to point to Einstein as a lofty embodiment of that identity.

Here, where we reach the sphere of mathematics, we are among processes which seem to some the most inhuman of all human activities and the most remote 139from poetry. Yet it is here that the artist has the fullest scope for his imagination. “Mathematics,” says Bertrand Russell in his “Mysticism and Logic,” “may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.” We are in the imaginative sphere of art, and the mathematician is engaged in a work of creation which resembles music in its orderliness, and is yet reproducing on another plane the order of the universe, and so becoming as it were a music of the spheres. It is not surprising that the greatest mathematicians have again and again appealed to the arts in order to find some analogy to their own work. They have indeed found it in the most various arts, in poetry, in painting, in sculpture, although it would certainly seem that it is in music, the most abstract of the arts, the art of number and of time, that we find the closest analogy. “The mathematician’s best work is art,” said Mittag-Lefler, “a high and perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch each other.” And Sylvester wrote in his “Theory of Reciprocants”: “Does it not seem as if Algebra had attained to the dignity of a fine art, in which the workman has a free hand to develop his conceptions, as in a musical theme or a subject for painting? It has reached a point in which every properly developed algebraical composition, like a skilful landscape, is expected to suggest the notion of an infinite distance lying beyond the limits 140of the canvas.” “Mathematics, rightly viewed,” says Bertrand Russell again, “possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture.... The true spirit of delight, the exaltation, the sense of being more than man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.”

The mathematician has reached the highest rung on the ladder of human thought. But it is the same ladder which we have all of us been always ascending, alike from the infancy of the individual and the infancy of the race. Molière’s Jourdain had been speaking prose for more than forty years without knowing it. Mankind has been thinking poetry throughout its long career and remained equally ignorant.

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