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＜電子ブック＞
Gnomes in the Fog : The Reception of Brouwer’s Intuitionism in the 1920s / by Dennis E. Hesseling
(Science Networks. Historical Studies. ISSN:22966080 ; 28)

版	1st ed. 2003.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2003
本文言語	英語
大きさ	XXIII, 448 p : online resource
著者標目	*Hesseling, Dennis E author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:History LCSH:Mathematical logic FREE:History of Mathematical Sciences FREE:Mathematical Logic and Foundations
一般注記	1 Kronecker, the semi-intuitionists, Poincaré -- 1.1 Introduction -- 1.2 Kronecker -- 1.3 The French semi-intuitionists -- 1.4 Poincaré -- 1.5 Conclusion -- 2 The genesis of Brouwer’s intuitionism -- 2.1 Introduction -- 2.2 The early years -- 2.3 The first act of intuitionism -- 2.4 Topology -- 2.5 Intuitionism and formalism -- 2.6 The second act of intuitionism -- 2.7 The Brouwer lectures -- 2.8 The Mathematische Annalen and afterwards -- 2.9 Brouwer’s personality -- 2.10 Conclusion -- 3 Overview of the foundational debate -- 3.1 Introduction -- 3.2 Quantitative inquiry -- 3.3 Qualitative inquiry -- 3.4 Conclusion -- 4 Reactions: existence and constructivity -- 4.1 Introduction -- 4.2 The beginning of the debate -- 4.3 The debate widened -- 4.4 Later reactions -- 4.5 Conclusion -- 5 Reactions: logic and the excluded middle -- 5.1 Introduction -- 5.2 The beginning of the debate -- 5.3 The debate widened -- 5.4 Later reactions -- 5.5 Conclusion -- 6 The foundational crisis in its context -- 6.1 Introduction -- 6.2 Metaphors -- 6.3 Philosophy -- 6.4 Physics -- 6.5 Art -- 6.6 Politics -- 6.7 Moderne and Gegenmoderne -- 6.8 Conclusion -- Conclusion -- A Chronology of the debate -- B Public reactions to Brouwer’s intuitionism -- C Logical notations -- Dankwoord/ Acknowledgements The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas and its misunderstandings HTTP:URL=https://doi.org/10.1007/978-3-0348-7989-7

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