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- Title
Naive Structure, Contraction and Paradox.
- Authors
Shapiro, Lionel
- Abstract
Rejecting structural contraction has been proposed as a strategy for escaping semantic paradoxes. The challenge for its advocates has been to make intuitive sense of how contraction might fail. I offer a way of doing so, based on a 'naive' interpretation of the relation between structure and logical vocabulary in a sequent proof system. The naive interpretation of structure motivates the most common way of blaming Curry-style paradoxes on illicit contraction. By contrast, the naive interpretation will not as easily motivate one recent noncontractive approach to the Liar paradox.
- Subjects
LIAR paradox; VOCABULARY; SEQUENCE (Linguistics); STRUCTURALISM; DESCRIPTION logics
- Publication
Topoi: An International Review of Philosophy, 2015, Vol 34, Issue 1, p75
- ISSN
0167-7411
- Publication type
Article
- DOI
10.1007/s11245-014-9235-x