(with Edwin Mares and Jeremy Seligman) “Situations, Constrains and Channels,” p. 329–344 in Handbook of Logic and Language (second edition), edited by Johan van Benthem and Alice ter Meulen, Elsevier.
Majer and Peliš have proposed a relevant logic for epistemic agents, providing a novel extension of the relevant logic R with a distinctive epistemic modality K, which is at the one and the same time factive (Kφ → φ is a theorem) and an existential normal modal operator (K(φ ∨ ψ) → (Kφ ∨ Kψ) is also a theorem). The intended interpretation is that Kφ holds (relative to a situation s) if there is a resource available at s, confirming φ. In this article we expand the class of models to the broader class of ‘general epistemic frames’. With this generalisation we provide a sound and complete axiomatisation for the logic of general relevant epistemic frames. We also show, that each of the modal axioms characterises some natural subclasses of general frames.
You are welcome to download and read this document. I welcome feedback on it. Please check the final published version if you wish to cite it. Thanks.
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.
To receive updates from this site, subscribe to the RSS feed in your feed reader. Alternatively, follow me at @consequently@hcommons.social, where most updates are posted.