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Quote: one should scrutinize a proof to see if any assumptions can be removed; use counterexamples to show the necessary ones
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mathematics by proofs and refutations
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This standard pattern is essentially the one described … [1927], p. vii: 'One should scrutinize each proof to see if … same consequence from fewer assumptions … and one should not be satisfied until counterexamples … [original in German] Google-1 Google-2
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Topic: mathematics by proofs and refutations (31 items)