Upcoming Events

The next event is on Thursday, October 30th:

LIRa session: Pietro Vigiani


Speaker: Pietro Vigiani (Central European University)

Date and Time: Thursday, October 30th 2025, 16:30-18:00

Venue: online only

Title: Epistemic applications of contextual modal logics

Abstract. Contextual modal logic (CML) is a recent framework combining classical and relevant logics, guided by the intuition that reasoning is a context sensitive practice, and that modal operators individuate specific contexts of inference. In this talk, I will first motivate CML by appealing to recent arguments to the effect that subclassical logics play a fundamental role in building theories. Secondly, I will introduce the axiomatisation and model theory for CML. From an axiomatic point of view, CML is a modal extension of classical propositional logic, where modalities are closed under relevant entailment (or equivalence). From a semantic point of view, models for contextual modal logics are obtained by individuating classical possible worlds within Routley—Meyer models for relevant modal logic. Finally, I will report on some recent applications of CML to hyperintensional epistemic logics, topic—sensitive epistemic logics and Ramsey conditionals.

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