Overview
- Deepens foundations of intuitionistic mathematics
- Combines phenomenological descriptions and analytic argumentation
- Is concise, argumentative, revisionistic
Part of the book series: Synthese Library (SYLI, volume 335)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
Keywords
About this book
Can the straight line be analysed mathematically such that it does not fall apart into a set of discrete points, as is usually done but through which its fundamental continuity is lost? And are there objects of pure mathematics that can change through time?
Mathematician and philosopher L.E.J. Brouwer argued that the two questions are closely related and that the answer to both is "yes''. To this end he introduced a new kind of object into mathematics, the choice sequence. But other mathematicians and philosophers have been voicing objections to choice sequences from the start.
This book aims to provide a sound philosophical basis for Brouwer's choice sequences by subjecting them to a phenomenological critique in the style of the later Husserl.
Reviews
From the reviews:
"It is almost as if one could hear the two rebels arguing their case in a European café or on a terrace, and coming to a common understanding, with both men taking their hat off to the other, in admiration and gratitude. Dr. van Atten has convincingly applied Husserl's method to Brouwer's program, and has equally convincingly applied Brouwer's intuition to Husserl's program. Both programs have come out the better." Piet Hut, Professor of Interdisciplinary Studies, Institute for Advanced Study, Princeton, USA
Authors and Affiliations
Bibliographic Information
Book Title: Brouwer meets Husserl
Book Subtitle: On the Phenomenology of Choice Sequences
Authors: Mark Atten
Series Title: Synthese Library
DOI: https://doi.org/10.1007/978-1-4020-5087-9
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2007
Hardcover ISBN: 978-1-4020-5086-2Published: 09 November 2006
Softcover ISBN: 978-90-481-7281-8Published: 23 November 2010
eBook ISBN: 978-1-4020-5087-9Published: 08 November 2006
Series ISSN: 0166-6991
Series E-ISSN: 2542-8292
Edition Number: 1
Number of Pages: XIII, 206
Topics: Mathematical Logic and Foundations, Phenomenology, Ontology, Metaphysics