“Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.”
― A Mathematician's Apology
― A Mathematician's Apology
“The philosopher treats a question; like an illness.”
― Philosophical Investigations
― Philosophical Investigations
“There is but one truly serious philosophical problem and that is suicide. Judging whether life is or is not worth living amounts to answering the fundamental question of philosophy. All the rest — whether or not the world has three dimensions, whether the mind has nine or twelve categories — comes afterwards. These are games; one must first answer.”
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“A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.”
― A Mathematician's Apology
― A Mathematician's Apology
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