Definition of Mathematics.—It has now become apparent that the traditional field of mathematics in the province of discrete and continuous number can only be separated from the general abstract theory of classes and relations by a wavering and indeterminate line. Of course a discussion as to the mere application of a word easily degenerates into the most fruitless logomachy. It is open to any one to use any word in any sense. But on the assumption that “mathematics” is to denote a science well marked out by its subject matter and its methods from other topics of thought, and that at least it is to include all topics habitually assigned to it, there is now no option but to employ “mathematics” in the general sense of the “science concerned with the logical deduction of consequences from the general premisses of all reasoning.”

I am by training a positivist, by inclination a pragmatist, in temperament a mystic, in practice a democrat; my faith Jewish, educated by Catholics, a habitual Protestant; born in Europe, raised in the Midwest, hardened in the East, softened in California and living in Israel.

The artist and the scientist—and the physician, in a sense, is both—is a man who is presumed to be interested primarily in his work, not in its emoluments. He can do genuinely good work, indeed, only to the extent that he is so interested. The moment he begins habitually to engage in enterprises that offer him only profit he ceases to be either an artist or a scientist, and becomes a mere journeyman artisan.