Proofs with Star and Perp

December 2021

Proofs with Star and Perp (article in progress)

In this paper, I show how to incorporate insights from the model-theoretic semantics for negation (insights due the late J. Michael Dunn, among others, in his paper ``Star and Perp: Two Treatments of Negation’’), into a proof-first understanding of the semantics of negation. I then discuss the how a logical pluralist may understand the underlying accounts of proofs and their significance.


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You are welcome to download and read this document. I especially welcome feedback on it. As it is not yet published in final form, if you want to cite the paper, please check with me first. Thanks.


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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. 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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