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“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

“The scientist has to take 95 per cent of his subject on trust. He has to because he can't possibly do all the experiments, therefore he has to take on trust the experiments all his colleagues and predecessors have done. Whereas a mathematician doesn't have to take anything on trust. Any theorem that's proved, he doesn't believe it, really, until he goes through the proof himself, and therefore he knows his whole subject from scratch. He's absolutely 100 per cent certain of it. And that gives him an extraordinary conviction of certainty, and an arrogance that scientists don't have.”

“This writer, who is horribly perspicacious and vigorous, demonstrates the certainty of a great European war, and regards it with the peculiar satisfaction excited by such things in a certain order of mind. His phrases about "dire calamity" and so on mean nothing; the whole tenor of his writing proves that he represents, and consciously, one of the forces which go to bring war about; his part in the business is a fluent irresponsibility, which casts scorn on all who reluct at the "inevitable." Persistent prophecy is a familiar way of assuring the event.”