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Naturalising Mathematics: A Critical Look at the Quine-Maddy Debate Cover

Naturalising Mathematics: A Critical Look at the Quine-Maddy Debate

Open Access
|Dec 2018

Abstract

This paper considers Maddy’s strategy for naturalising mathematics in the context of Quine’s scientific naturalism. The aim of this proposal is to account for the acceptability of mathematics on scientific grounds without committing to revisionism about mathematical practice entailed by the Quine-Putnam indispensability argument. It has been argued that Maddy’s mathematical naturalism makes inconsistent assumptions on the role of mathematics in scientific explanations to the effect that it cannot distinguish mathematics from pseudo-science. I shall clarify Maddy’s arguments and show that the objection can be overcome. I shall then reformulate a novel version of the objection and consider a possible answer, and I shall conclude that mathematical naturalism does not ultimately provide a viable strategy for accommodating an anti-revisionary stance on mathematics within a Quinean naturalist framework.

DOI: https://doi.org/10.2478/disp-2012-0002 | Journal eISSN: 2182-2875 | Journal ISSN: 0873-626X
Language: English, Portuguese
Page range: 323 - 342
Published on: Dec 31, 2018
Published by: University of Lisbon
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2018 Marianna Antonutti Marfori, published by University of Lisbon
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.