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Mathematical proof: Revision history

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31 August 2024

15 May 2022

15 May 2019

20 March 2018

17 March 2018

  • curprev 16:5616:56, 17 March 2018ELApro talk contribs 29,748 bytes +1,515 →‎Quotes: Hilbert, 'Mathematische Probleme' Tr. Newson: investigating foundations of a science..set up a system of axioms=definitions of those elementary ideas & no correct statement within, unless derived in finite steps..question whether independent axioms..above all prove not contradictory within finite no. logical steps undo
  • curprev 14:2414:24, 17 March 2018ELApro talk contribs 28,233 bytes +365 →‎Quotes: Rav, "Why do we prove theorems?" in 'Philosophia Mathematica': what experimental procedures are for the experimental scientist->new ideas/concepts/strategies..devices..assimilated for..research & further developed undo

13 March 2018

  • curprev 15:5715:57, 13 March 2018ELApro talk contribs 27,868 bytes +1,060 →‎Quotes: Gowers, , "Massively Collaborative Mathematics": Polymath Project..find an elementary proof..Hales-Jewett theorem..known true..proofs are more than guarantees of truth..explanatory power/crucial insights.. 2 reasons..1) just one—a long/complicated->elementary from 1st principles=>new ideas 2) DHJ implies Szemerédi's theorem which led to breakthroughs..we would expect that the same undo

12 March 2018