Abstract: In this talk I will show how defining rules in a hypersequent setting can give a uniform proof-theoretic semantics of identity and modality, allowing – equally naturally – for (1) modal operators for which identity statements are necessary (if true), and (2) modal operators for which identity statements can be contingently true.
The talk is an online presentation for the ERC EXPRESS Project in Amsterdam, and the PHILMATH Seminar in Paris.
Here is the recording of the talk:
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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