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Quote: a theorem applies to a restricted domain; so counter-examples are exceptions to the conjecture instead of monsters
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mathematics by proofs and refutations
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definition by example
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BETA: … It now seems to me that no conjecture … am against dubbing these exceptions 'monsters' or 'pathological … No: they are just exceptions. [method of exception-barring] … [26] For all polyhedra that have no cavities … Google-1 Google-2
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Topic: mathematics by proofs and refutations (31 items)
Topic: definition by example (26 items)