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Two flavors of Curry’s paradox

journal contribution
posted on 2023-05-18, 09:30 authored by Beall, Jc
Abstract. I believe that, for reasons elaborated elsewhere (Beall, 2009; Priest, 2006a, 2006b), the logic LP (Asenjo, 1966; Asenjo & Tamburino, 1975; Priest, 1979) is roughly right as far as logic goes.1 But logic cannot go everywhere; we need to provide nonlogical axioms to specify our (axiomatic) theories. This is uncontroversial, but it has also been the source of discomfort forLP-based theorists, particularly with respect to true mathematical theories which we take to be consistent. My example, throughout, is arithmetic; but the more general case is also considered.

History

Publication title

The Journal of Philosophy

Volume

110

Pagination

143-165

ISSN

0022-362X

Department/School

School of Humanities

Publisher

Journal of Philosophy, Inc.

Place of publication

United States

Rights statement

Copyright 2013 The Journal of Philosophy, Inc.

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  • Restricted

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Expanding knowledge in philosophy and religious studies

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