Fixed Points for Consequence Relations

Toby Meadows

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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.
Original languageEnglish
Pages (from-to)333-357
Number of pages25
JournalLogique et Analyse
Volume57
Issue number227
DOIs
Publication statusPublished - 2014

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Fixed Point
Consequence Relation
Paradox
Semantic Paradoxes

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Fixed Points for Consequence Relations. / Meadows, Toby.

In: Logique et Analyse, Vol. 57, No. 227, 2014, p. 333-357.

Research output: Contribution to journalArticle

Meadows, Toby. / Fixed Points for Consequence Relations. In: Logique et Analyse. 2014 ; Vol. 57, No. 227. pp. 333-357.
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