Abstract
AbstractI 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 for LP-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.
Publisher
Cambridge University Press (CUP)
Subject
Logic,Philosophy,Mathematics (miscellaneous)
Reference29 articles.
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2. Beall J. , & van Fraassen B. C . Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic. Oxford, UK: Oxford University Press.
3. A note on freedom from detachment in the Logic of Paradox;Beall;Notre Dame Journal of Formal Logic,2011
4. Inconsistent Mathematics
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