Generality and Existence 2: Modality and Quantifiers

February 21, 2019

Abstract: In this talk, I motivate and define a cut free sequent calculus for first order modal predicate logics, allowing for singular terms free of existential import. I show that the cut rule is admissible in the cut-free calculus, and explore the relationship between contingent ‘world-bound’ quantifiers and possibilist ‘world-undbound’ quantifiers in the system.

This is a talk for the Association for Symbolic Logic at the Central Division meeting of the American Philosophical Association, at Denver, Colorado.
The slides for the talk are available here, and a version formatted for printing, as a handout, is 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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