Imre Lakatos's "Proofs and Refutations" is a wonderful book-length discussion of this and related points.https://twitter.com/AnalysisFact/status/752888067455852544 …
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Precisely. My pref. Trades quantity of material for depth of understanding. Defs are fascinating; books make them boring.
It's such a strange deficiency in standard mathematical style that so little space is allocated to how defns are discovered
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Also *alternate* defs. Sometimes given one not canonical; imp to know. Sometimes is; even more imp! Ergo I wrote "design".
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I'm enough of a Platonist that I like "discover" :-) I agree with you tho that it's great to see the design nuts-and-bolts &
End of conversation
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