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Constructibility and Mathematical Existence$
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Charles S. Chihara

Print publication date: 1991

Print ISBN-13: 9780198239758

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198239750.001.0001

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Deflationism and Mathematical Truth

Deflationism and Mathematical Truth

(p.251) 12 Deflationism and Mathematical Truth
Constructibility and Mathematical Existence

Charles S. Chihara (Contributor Webpage)

Oxford University Press

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

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