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ON ONTOLOGY AND REALISM IN MATHEMATICS

Published online by Cambridge University Press:  21 February 2012

HAIM GAIFMAN*
Affiliation:
Philosophy Department, Columbia University
*
*PHILOSOPHY DEPARTMENT COLUMBIA UNIVERSITY NEW YORK, NY 10027 E-mail:[email protected]

Extract

The paper is concerned with the way in which “ontology” and “realism” are to be interpreted and applied so as to give us a deeper philosophical understanding of mathematical theories and practice. Rather than argue for or against some particular realistic position, I shall be concerned with possible coherent positions, their strengths and weaknesses. I shall also discuss related but different aspects of these problems. The terms in the title are the common thread that connects the various sections.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2012

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