“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
“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
“A picture held us captive. And we could not get outside it, for it lay in our language and language seemed to repeat it to us inexorably.”
― Philosophical Investigations
― Philosophical Investigations
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