The Difficulties in Using Weak Relevant Logics for Naive Set Theory

In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Cham, Switzerland: Springer Verlag. pp. 365-381 (2019)
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Abstract

We discuss logical difficulties with the naive set theory based on the weak relevant logic DKQ. These are induced by the restrictive nature of the relevant conditional and its interaction with set theory. The paper concludes with some possible ways to mitigate these difficulties.

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Maarten McKubre-Jordens
Canterbury University

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