Collections of Open Problems
What is Mathematics?
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G. H. Hardy, A Mathematician's Apology, 1940.
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Imre Lakatos, Proofs and Refutations, 1976.
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Bill Thurston, On proof and progress in mathematics, 1994.
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Vladimir Arnold, On teaching mathematics, 1997.
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Timothy Gowers, The two cultures of mathematics, 2000.