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Two flavors of Curry’s paradox
journal contributionposted 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.
Publication titleThe Journal of Philosophy
Department/SchoolSchool of Humanities
PublisherJournal of Philosophy, Inc.
Place of publicationUnited States
Rights statementCopyright 2013 The Journal of Philosophy, Inc.