Luca Incurvati
University of Amsterdam
Julian J. Schlöder
University of Connecticut
We present epistemic multilateral logic, a general logical framework for reasoning involving epistemic modality. Standard bilateral systems use propositional formulae marked with signs for assertion and rejection. Epistemic multilateral logic extends standard bilateral systems with a sign for the speech act of weak assertion (Incurvati and Schlöder 2019) and an operator for epistemic modality. We prove that epistemic multilateral logic is sound and complete with respect to the modal logic S5 modulo an appropriate translation. The logical framework developed provides the basis for a novel, proof-theoretic approach to the study of epistemic modality. To demonstrate the fruitfulness of the approach, we show how the framework allows us to reconcile classical logic with the contradictoriness of so-called Yalcin sentences and to distinguish between various inference patterns on the basis of the epistemic properties they preserve.
Keywords Epistemic modals  Multilateral logic  Proof-theoretic semantics  Weak assertion  Rejection
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DOI 10.1017/s1755020320000313
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References found in this work BETA

Studies in the Way of Words.Herbert Paul Grice - 1989 - Cambridge: Harvard University Press.
The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
Context.Robert Stalnaker - 2014 - Oxford University Press.

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Citations of this work BETA

Weak Assertion.Luca Incurvati & Julian J. Schlöder - 2019 - Philosophical Quarterly 69 (277):741-770.
Meta-Inferences and Supervaluationism.Luca Incurvati & Julian J. Schlöder - forthcoming - Journal of Philosophical Logic:1-34.
Conditional Collapse.Sam Carter - forthcoming - Mind.

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