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 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.
Original language | English |
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Pages (from-to) | 755-764 |
Number of pages | 10 |
Journal | Review of Symbolic Logic |
Volume | 6 |
Issue number | 4 |
Early online date | 7 Aug 2013 |
DOIs | |
Publication status | Published - Dec 2013 |