Synthese:1-16 (forthcoming)

Melissa Fusco
Columbia University
Two-dimensional semantics, which can represent the distinction between a priority and necessity, has wielded considerable influence in the philosophy of language. In this paper, I axiomatize the dagger ) operator of Stalnaker’s “Assertion” in the formal context of two-dimensional modal logic. The language contains modalities of actuality, necessity, and a priority, but is also able to represent diagonalization, a conceptually important operation in a variety of contexts, including models of the relative a priori and a posteriori often appealed to Bayesian and Gricean contexts. Finally, I sketch the prospects for extending this two-dimensional upgrade to other kinds of modal logics for natural language.
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DOI 10.1007/s11229-020-02574-7
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The Logic of Sequence Frames.Fabio Lampert - forthcoming - Review of Symbolic Logic:1-44.

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