Gnomes in the Fog
Subtitle: The Reception of Brouwer's Intuitionism in the 1920s
By: by Dennis E. Hesseling
Series: Science Networks. Historical Studies -- 28; Science networks historical studies -- 28.
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 2003
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 448
ISBN-13: 9783034893947; 9783034879897
Subjects: Mathematics; Symbolic and mathematical Logic
Description: 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.
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Table of contents: title: Kronecker, the semi-intuitionists, Poincaré; title: The genesis of Brouwer's intuitionism; title: Description of the foundational debate; title: Reactions: existence and constructivity; title: Reactions: logic and the excluded middle; title: The foundational crisis in its context.