NAIVE SET THEORY AND NONTRANSITIVE LOGIC

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Abstract

In a recent series of papers, I and others have advanced new logical approaches to familiar paradoxes. The key to these approaches is to accept full classical logic, and to accept the principles that cause paradox, while preventing trouble by allowing a certain sort of nontransitivity. Earlier papers have treated paradoxes of truth and vagueness. The present paper will begin to extend the approach to deal with the familiar paradoxes arising in naive set theory, pointing out some of the promises and pitfalls of such an approach.

Original languageEnglish
Pages (from-to)553-571
Number of pages19
JournalReview of Symbolic Logic
Volume8
Issue number3
DOIs
Publication statusPublished - 2015
Externally publishedYes

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