Classical Logic and Intuitionistic Logic: looking both ways

September 6, 2022

Abstract: We know a great many technical results concerning the relationship between classical logic and intuitionistic logic, whether in the propositional, first-order or higher-order languages. We also know quite a lot about the relationship between intuitionistic and classical theories. In this talk, I will explore some of what these results might mean, from the perspective of partisans of one side or other of the divide, and what kinds of pluralism might be tenable, in the light of the existing and long-standing practices of classical and constructive mathematics.

The talk is an invited presentation at PhDs in Logic XIII in Turin.
The slides for the talk are available here.

about

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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contact

Social media: @consequently@scholar.social.
Personal email: greg@consequently.org.
St Andrews profile.
My office is in Edgecliffe, The Scores.