...there is probably less difference between the positions of a mathematician and of a physicist than is generally supposed, [...] the mathematician is in much more direct contact with reality. This may seem a paradox, since it is the physicist who deals with the subject-matter usually described as ‘real', but [...] [a physicist] is trying to correlate the incoherent body of crude fact confronting him with some definite and orderly scheme of abstract relations, the kind of scheme he can borrow only from mathematics. (G. H. Hardy)

...there is probably less difference between the positions of a mathematician and of a physicist than is generally supposed, [...] the mathematician is in much more direct contact with reality. This may seem a paradox, since it is the physicist who deals with the subject-matter usually described as ‘real', but [...] [a physicist] is trying to correlate the incoherent body of crude fact confronting him with some definite and orderly scheme of abstract relations, the kind of scheme he can borrow only from mathematics.

G. H. Hardy

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abstract body borrow contact correlate crude definite difference direct fact kind less mathematician mathematics orderly paradox physicist real reality scheme subject-matter trying relations

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I always saw a close kinship between the needs of "pure" mathematics and a certain hero of Greek mythology, Antaeus. The son of Earth, he had to touch the ground every so often in order to reestablish contact with his Mother; otherwise his strength waned. To strangle him, Hercules simply held him off the ground. Back to mathematics. Separation from any down-to-earth input could safely be complete for long periods - but not forever. In particular, the mathematical study of Brownian motion deserved a fresh contact with reality.

Benoît Mandelbrot

The idea of an isolated American painting, so popular in this country during the thirties, seems absurd to me, just as the idea of a purely American mathematics or physics would seem absurd... And in another sense, the problem doesn't exist at all; or, if it did, would solve itself: An American is an American and his painting would naturally be qualified by the fact, whether he wills or not. But the basic problems of contemporary painting are independent of any one country.

Jackson Pollock

The work of the painter, the poet or the musician, like the myths and symbols of the savage, ought to be seen by us, if not as a superior form of knowledge, at least as the most fundamental and the only one really common to us all; scientific thought is merely the sharp point more penetrating because it has been whetted on the stone of fact, but at the cost of some loss of substance and its effectiveness is to be explained by its power to pierce sufficiently deeply for the main body of the tool to follow the head.

Claude Lévi-Strauss

I have always taken as the standard of the mode of teaching and writing, not the abstract, particular, professional philosopher, but universal man, that I have regarded man as the criterion of truth, and not this or that founder of a system, and have from the first placed the highest excellence of the philosopher in this, that he abstains, both as a man and as an author, from the ostentation of philosophy, i.e., that he is a philosopher only in reality, not formally, that he is a quiet philosopher, not a loud and still less a brawling one.

Ludwig Andreas Feuerbach

Women should be permitted to volunteer for non-combat service, [...] We have no real way of knowing whether the kinds of training that teach men both courage and restraint would be adaptable to women or effective in a crisis. But the evidence of history and comparative studies of other species suggest that women as a fighting body might be far less amenable to the rules that prevent war from becoming a massacre and, with the use of modern weapons, that protect the survival of all humanity. That is what I meant by saying that women in combat might be too fierce.

Margaret Mead