Mathematical Quotes (page 2)
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The Greeks were the first mathematicians who are still ‘real’ to us to-day. Oriental mathematics may be an interesting curiosity, but Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand: as Littlewood said to me once, they are not clever schoolboys or ‘scholarship candidates’, but ‘Fellows of another college’. So Greek mathematics is ‘permanent’, more permanent even than Greek literature. Archimedes will be remembered when...
G. H. Hardy
Where mathematics was a magnificent imaginary building, the world of story as represented by Dickens was like a deep, magical forest for Tengo. When mathematics stretched infinitely upward toward the heavens, the forest spread out beneath his gaze in silence, its dark, sturdy roots stretching deep into the earth. In the forest there were no maps, no numbered doorways.... Tengo began deliberately to put some distance between himself and the world of mathematics, and instead the forest of story...
Haruki Murakami
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true. [...] Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have...
Bertrand Russell
I suspect gentlemen, that you're regarding me with pity; you keep repeating to me that an enlightened and cultured man -- such as, in short, as the man of the future will be -- cannot knowingly desire anything unprofitable for himself -- that that's mathematics. I agree totally that it really is mathematics. But I repeat to you for the hundredth time: there is only one case, only one, when a man can intentionally and consciously desire for himself even what is harmful and stupid, even what is...
Fyodor Dostoevsky
I must study politics and war that my [children] may have liberty to study mathematics and philosophy. My [children] ought to study mathematics and philosophy, geography, natural history, naval architecture, navigation, commerce and agriculture in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry, and porcelain.
John Adams
(1) Use mathematics as shorthand language, rather than as an engine of inquiry. (2) Keep to them till you have done. (3) Translate into English. (4) Then illustrate by examples that are important in real life (5) Burn the mathematics. (6) If you can’t succeed in 4, burn 3. This I do often.
Alfred Marshall
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work - that is correctly to describe phenomena from a reasonably wide area. Furthermore, it must satisfy certain esthetic criteria - that is, in relation to how much it...
John von Neumann
