Science/Engineering Proofs and Refutations: The Logic of Mathematical Discovery (0521290384)

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Imre Lakatos, John Worrall, Elie Zahar “Proofs and Refutations: The Logic of Mathematical Discovery"

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

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	Mathematical Thinking: Problem-Solving and Proofs John P. D'Angelo, Douglas B. West “Mathematical Thinking: Problem-Solving and Proofs (2nd Edition)" Prentice Hall \| 1999-12-27 \| ISBN: 0130144126 \| 412 pages \| Djvu\| 3,8 Mb
	Science/Engineering Elements of Mathematical Logic: Model Theory (Studies in Logic and the Foundations of Mathematics) G. Kreisel, J. L. Krivine, «Elements of Mathematical Logic»North-Holland Publishing Company \| ISBN: 0720422655 \| 1971-12 \| PDF \| 300 pages \| 12.09 MBdownloadmirror
	Study Termination Proofs for Logic Programs Termination Proofs for Logic ProgramsSpringer \| ISBN: 3540528377 \| 1990-08-24 \| PDF \| 142 pages \| 6 Mb Termination proofs constitute a crucial part of program verification. Much research about termination has been done in the context of ter ...
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