The Oxford Handbook of Philosophy of Mathematics and Logic by Stewart Shapiro
Author:Stewart Shapiro [Shapiro, Stewart]
Language: eng
Format: epub
Tags: History & Philosophy, Reference, Philosophy & Social Aspects, Science, Philosophy, General, Logic, Mathematics, Handbooks & Manuals, Lang:en
Publisher: Oxford University Press
Published: 2012-11-28T21:47:19+00:00
Where our three naturalists' views of “science” clearly diverge is on the status of mathematics. As we've seen, Quine includes mathematics as scientific, but only insofar as it takes part in empirical science, plus a bit more for “simplificatory roundings out” and a bit more again to avoid “unnatural gerrymandering of grammar.” But evidence, for Quine, is always empirical evidence; proper methods are always those of natural science. Even in the grudgingly admitted higher reaches of set theory, it is the familiar theoretical virtues common to empirical theories that carry the day.
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