Anti-Realist Classical Logic and Realist Mathematics

October 2011

“Anti-Realist Classical Logic and Realist Mathematics,” pp.269–284 in The Realism-Antirealism Debate in the Age of Alternative Logics, edited by Shahid Rahman, Giuseppi Primiero and Mathieu Marion, Springer, 2011

I sketch an application of a semantically anti-realist understanding of the classical sequent calculus to the topic of mathematics. The result is a semantically anti-realist defence of mathematical realism. In the paper, I develop the view and compare it to orthodox positions in the philosophy of mathematics.

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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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