Brouwer Meets Husserl: On the Phenomenology of Choice Sequences
Springer (2007)
| Abstract | 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 | |||||||||
| Keywords | Phenomenology Sequences (Mathematics Intuitionistic mathematics | |||||||||
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| Call number | B829.5.A88 2007 | |||||||||
| ISBN(s) | 9781402050862 1402050860 | |||||||||
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Joan Rand Moschovakis (1987). Relative Lawlessness in Intuitionistic Analysis. Journal of Symbolic Logic 52 (1):68-88.
Mathieu Marion (2003). Wittgenstein and Brouwer. Synthese 137 (1-2):103 - 127.
Joop Niekus (2011). Brouwer's Incomplete Objects. History and Philosophy of Logic 31 (1):31-46.
M. Hartimo (2012). Husserl's Pluralistic Phenomenology of Mathematics. Philosophia Mathematica 20 (1):86-110.
H. C. M. de Swart (1992). Spreads or Choice Sequences? History and Philosophy of Logic 13 (2):203-213.
Miriam Franchella (2008). Mark Van Atten. Brouwer Meets Husserl: On the Phenomenology of Choice Sequences. Philosophia Mathematica 16 (2):276-281.
Mark Van Atten (2003). Brouwer, as Never Read by Husserl. Synthese 137 (1/2):3 - 19.
Mark van Atten (2003). Brouwer, as Never Read by Husserl. Synthese 137 (1-2):3-19.
Mark van Atten, Dirk van Dalen & And Richard Tieszen (2002). Brouwer and Weyl: The Phenomenology and Mathematics of the Intuitive Continuumt. Philosophia Mathematica 10 (2):203-226.
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