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Philosophia Mathematica Advance Access originally published online on January 16, 2008
Philosophia Mathematica 2008 16(2):276-281; doi:10.1093/philmat/nkm040
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Copyright © The Author 2008. Published by Oxford University Press.

Book Review

MARK VAN ATTEN. Brouwer meets Husserl: On the Phenomenology of Choice Sequences

Miriam Franchella*

* Dipartimento di Filosofia, Università degli Studi, I-20122 Milan, Italy.

Correspondence: miriam.franchella@unimi.it

Mark van Atten. Brouwer meets Husserl: On the Phenomenology of Choice Sequences Synthese Library, Vol. 335. Dordrecht: Springer, 2006. ISBN-10: 1-4020-5086-0. Pp. xiii + 206.

The first 150 words of the full text of this article appear below.

This book summarizes the intense research that the author performed for his Ph.D. thesis (1999), revised and with the addition of an intuitionistic critique of Husserl's concept of number. His starting point consisted of a double conviction: 1) Brouwerian intuitionism is a valid way of doing mathematics but is grounded on a weak philosophy; 2) Husserlian phenomenology (especially as developed in his mature transcendental phase) can provide a suitable philosophical ground for intuitionism. In order to let intuitionism and phenomenology match, he had to solve in general two problems: 1) the question of the reciprocal indifference that the authors had toward each other's theorizing which indeed they knew; 2) Husserl's general attitude of accepting classical mathematics, which contrasts with the critical attitude of the intuitionists.

Moreover, in the specific case focused on by this book—concerning choice sequences, that is, sequences that can be completely lawless and that were admitted as . . . [Full Text of this Article]


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