Proofs and Refutations

副标题: The Logic of Mathematical Discovery

ISBN: 9780521290388

出版社: Cambridge University Press

出版年: 1976-1-1

页数: 188

定价: USD 52.00

装帧: Paperback

内容简介

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.

作者简介

拉卡托斯(Imre Lakatos，1922—1974)，英籍匈牙利人，犹太裔，数学哲学家、科学哲学家，宗波普尔。早年信仰共产主义，后讳谈往事。

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