A Note on Naïve Set Theory in LP

March 1992

“A Note on Naïve Set Theory in LP,” Notre Dame Journal of Formal Logic 33 (1992) 422–432.

My first publication. It stems from work I did in my Honours year (1989) with Graham Priest, on paraconsistent logic. I explain a particularly simple yet powerful technique for constructing models of naïve set theory in the paraconsistent logic LP. This can be used to show the consistency of the theory, and to construct models invalidating some of the axioms of ZFC.

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You are welcome to download and read this document. I welcome feedback on it. Please check the final published version if you wish to cite it. Thanks.


I’m Greg Restall, and this is my personal website. I am the Shelby Cullom Davis Professor of Philosophy at the University of St Andrews, and the Director of the Arché Philosophical Research Centre for Logic, Language, Metaphysics and Epistemology I like thinking about – and helping other people think about – logic and philosophy and the many different ways they can inform each other.


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