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Document Details :

Title: Fixed Points for Consequence Relations
Author(s): MEADOWS, Toby
Journal: Logique et Analyse
Volume: 227    Date: 2014   
Pages: 333-357
DOI: 10.2143/LEA.227.0.3053509

Abstract :
This paper provides a way of dealing with paradoxes associated with consequence relations via a generalisation of Kripke’s fixed point technique. In particular, we focus on Beall and Murzi’s paradox, although the framework outlined should have more general application. We first attempt to locate this problem among the existing corpus of semantic paradoxes. We then examine two canonical approaches to the issue and conclude with an inductive construction which, in some fashion, goes beyond those approaches.

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