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Two flavors of Curry’s paradox
journal contribution
posted on 2023-05-18, 09:30 authored by Beall, JcAbstract. 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 PhilosophyVolume
110Pagination
143-165ISSN
0022-362XDepartment/School
School of HumanitiesPublisher
Journal of Philosophy, Inc.Place of publication
United StatesRights statement
Copyright 2013 The Journal of Philosophy, Inc.Repository Status
- Restricted