Mathematical realism and conceptual semantics

In Oleg Prosorov & Vladimir Orevkov (eds.), Philosophy, Mathematics, Linguistics: Aspects of Interaction. Euler International Mathematical Institute (2012)
  Copy   BIBTEX

Abstract

The dominant approach to analyzing the meaning of natural language sentences that express mathematical knowl- edge relies on a referential, formal semantics. Below, I discuss an argument against this approach and in favour of an internalist, conceptual, intensional alternative. The proposed shift in analytic method offers several benefits, including a novel perspective on what is required to track mathematical content, and hence on the Benacerraf dilemma. The new perspective also promises to facilitate discussion between philosophers of mathematics and cognitive scientists working on topics of common interest.

Author's Profile

Luke Jerzykiewicz
University of Western Ontario

Analytics

Added to PP
2012-07-04

Downloads
807 (#15,973)

6 months
110 (#29,530)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?