Brouwer meets Husserl : on the phenomenology of choice sequences
Author(s)
Bibliographic Information
Brouwer meets Husserl : on the phenomenology of choice sequences
（Synthese library, v. 335）
Springer, c2007
- : e-book
Available at / 11 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
511.36/AT822080127697
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Note
Includes bibliographical references (p. 169-180) and indexes
Description and Table of Contents
Description
Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete points? Are there objects of pure mathematics that can change through time? L. E. J. Brouwer argued that the two questions are related and that the answer to both is "yes", introducing the concept of choice sequences. This book subjects Brouwer's choice sequences to a phenomenological critique in the style of Husserl.
Table of Contents
An Informal Introduction.- The Argument.- The Original Positions.- The Phenomenological Incorrectness of the Original Arguments.- The Constitution of Choice Sequences.- Application: An Argument for Weak Continuity.- Concluding Remarks.
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