Brouwer meets Husserl: On the Phenomenology of Choice Sequences / Edition 1

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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.

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"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

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Product Details

  • ISBN-13: 9781402050862
  • Publisher: Springer Netherlands
  • Publication date: 11/29/2006
  • Series: Synthese Library Series, #335
  • Edition description: 2007
  • Edition number: 1
  • Pages: 206
  • Product dimensions: 10.00 (w) x 7.00 (h) x 0.56 (d)

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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