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Gödel's Program Revisited Part I: The Turn to Phenomenology

Published online by Cambridge University Press:  15 January 2014

Kai Hauser
Kai Hauser*
Affiliation:
Icrea (Institució Catalana de Recerca I Estudis Avançats) and, Universitat de Barcelona, Spain Departament de Lògica, Història I Filosofia de La Ciència, Facultat de Filosofia, C. Montalegre, 6, 08001 Barcelona, Spain Institut Für Mathematik, Technische Universität, MA 8-1, 10623 Berlin, GermanyE-mail: [email protected]
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Abstract

Convinced that the classically undecidable problems of mathematics possess determinate truth values, Gödel issued a programmatic call to search for new axioms for their solution. The platonism underlying his belief in the determinateness of those questions in combination with his conception of intuition as a kind of perception have struck many of his readers as highly problematic. Following Gödel's own suggestion, this article explores ideas from phenomenology to specify a meaning for his mathematical realism that allows for a defensible epistemology.

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Articles
Information
Bulletin of Symbolic Logic , Volume 12 , Issue 4 , December 2006 , pp. 529 - 590
Copyright
Copyright © Association for Symbolic Logic 2006

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