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The Foundations o...
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G.H. Hardy
“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.”
G.H. Hardy, A Mathematician's Apology

Ludwig Wittgenstein
“But all propositions of logic say the same thing. That is, nothing.”
Ludwig Wittgenstein

Ludwig Wittgenstein
“The philosopher treats a question; like an illness.”
Ludwig Wittgenstein, Philosophical Investigations

G.H. Hardy
“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.”
G.H. Hardy, A Mathematician's Apology

Ludwig Wittgenstein
“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.”
Ludwig Wittgenstein, Philosophical Investigations

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