Chapter

Deflationism and Mathematical Truth

Charles S. Chihara

in Constructibility and Mathematical Existence

Published in print June 1991 | ISBN: 9780198239758
Published online November 2003 | e-ISBN: 9780191597190 | DOI: http://dx.doi.org/10.1093/0198239750.003.0012

Series: Clarendon Paperbacks

 Deflationism and Mathematical Truth

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Takes up Field's version of Logicism—a position that he calls ‘deflationism’. Unlike traditional Logicists, Field does not analyse mathematical propositions into purely logical ones, but he does analyse mathematical knowledge into logical knowledge. Several objections are raised to deflationism, revolving around Field's contention that mathematics consists mostly of falsehoods. Contends that, although mathematics, literally and platonically construed, is not true, it does convey genuine (true) information.

Keywords: deflationism; Hartry Field; logical knowledge; Logicism; mathematical knowledge

Chapter.  3913 words. 

Subjects: Philosophy of Mathematics and Logic

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