Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform.
PhilosophyHumanityMathematicsAbstractionNecessityUniversality
Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform.
PhilosophyHumanityMathematicsAbstractionNecessityUniversality
Human relevance can feel distant when focusing on abstract necessity.
Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture, without appeal to any part of ou…
That Man is the product of causes that had no prevision of the end they were achieving; that his origin, his growth, his hopes and fears, his loves and his bel…
Indignation is a submission of our thoughts, but not of our desires.
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…
A mathematician is a blind man in a dark room looking for a black cat which isn't there.
All things must; man is the only creature that wills.