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Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

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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.

Author(s): Dennis E. Hesseling (auth.)
Series: Science Networks. Historical Studies 28
Edition: 1
Publisher: Birkhäuser Basel
Year: 2003

Language: English
Pages: 448
Tags: History of Mathematical Sciences; Mathematical Logic and Foundations

Front Matter....Pages i-xxiii
Kronecker, the semi-intuitionists, Poincaré....Pages 1-24
The genesis of Brouwer’s intuitionism....Pages 25-90
Overview of the foundational debate....Pages 91-116
Reactions: existence and constructivity....Pages 117-215
Reactions: logic and the excluded middle....Pages 217-299
The foundational crisis in its context....Pages 301-344
Conclusion....Pages 345-354
Back Matter....Pages 355-448