Proofs with Star and Perp

February 2025

Proofs with Star and Perp, p. 343-372 in Sedlár, I., Standefer, S., Tedder, A. (eds) New Directions in Relevant Logic. Trends in Logic, vol 63. Springer.

doi:10.1007/978-3-031-69940-5_14

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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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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