Naive Set Theory and Nontransitive Logic

Review of Symbolic Logic 8 (3):553-571 (2015)
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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 ofnontransitivity. 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.

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David Ripley
Monash University

Citations of this work

Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
Conditional Heresies.Fabrizio Cariani & Simon Goldstein - 2018 - Philosophy and Phenomenological Research (2):251-282.
Lp+, k3+, fde+, and their 'classical collapse'.Jc Beall - 2013 - Review of Symbolic Logic 6 (4):742-754.

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References found in this work

Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.
The Logics of Strict-Tolerant Logic.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2015 - Journal of Philosophical Logic 44 (5):551-571.

View all 23 references / Add more references