The Limits of Possible Worlds Semantics

Lucas Champollion, New York University

Abstract

The standard paradigm of possible world semantics, which has been in wide use since Montague’s pioneering work, fails to account for the subject-matter preserving nature of entailment as well as for discrepancies between the behavior of the connectives in propositional logic and their counterparts in natural language. These discrepancies show up in a variety of empirical domains such as imperatives and counterfactuals. I argue that this calls for a paradigm shift away from standard possible world semantics and towards a hyperintensional framework. I adopt unilateral truthmaker semantics in the sense of Fine (2017), with a concomitant move from the intersective to the collective theory of conjunction. I conceptualize truthmakers as Davidsonian events and argue for an adaptation of Fine’s semantics for negation to the event domain. This leads to a natural conception of negative events that is novel to event semantics but reminiscent of work done by Higginbotham within situation semantics. I sketch an application to perception reports and show how to embed truthmaker semantics within a standard type theoretical compositional framework. Parts of this talk are based on joint work with Timothée Bernard.
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