Vague inclosures
pp. 367-377
Abstract
The paper starts by arguing that sorites paradoxes are inclosure paradoxes, and therefore require the same sort of solution as other inclosure paradoxes, notably the paradoxes of self-reference. It then puts forward such a solution. Tolerance conditionals are argued to be material conditionals, and sorites arguments fail because of the failure of detachment for such conditionals. Soritical arguments show that a contradiction occurs somewhere down the length of the sorites statements, though they do not locate where. The final part of the paper considers higher-order vagueness, and argues that it is essentially the same as extended paradoxes of self-reference, to be handled in the same way, by constructing a single 'soritically closed" language.
Publication details
Published in:
Tanaka Koji, Berto Francesco, Mares Edwin D., Paoli Francesco (2013) Paraconsistency: logic and applications. Dordrecht, Springer.
Pages: 367-377
DOI: 10.1007/978-94-007-4438-7_20
Full citation:
Priest Graham (2013) „Vague inclosures“, In: K. Tanaka, F. Berto, E. D. Mares & F. Paoli (eds.), Paraconsistency, Dordrecht, Springer, 367–377.