Proofs and refutations | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-01-16

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Proofs_and_Refutations


00:00:57 1 Synopsis
00:02:23 2 Method
00:04:24 3 Publication history
00:04:52 4 Impact on teaching



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Speaking Rate: 0.7489652095314361
Voice name: en-US-Wavenet-C


"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
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Proofs and Refutations is a 1976 book by philosopher Imre Lakatos expounding his view of the progress of mathematics. The book is written as a series of Socratic dialogues involving a group of students who debate the proof of the Euler characteristic defined for the polyhedron. A central theme is that definitions are not carved in stone, but often have to be patched up in the light of later insights, in particular failed proofs. This gives mathematics a somewhat experimental flavour. At the end of the Introduction, Lakatos explains that his purpose is to challenge formalism in mathematics, and to show that informal mathematics grows by a logic of "proofs and refutations".