Davide Sutto

A wide variety of concepts are nowadays considered to be hyperintensional, and some of them do not seem to involve our representational attitudes. This led some philosophers to identify and defend a notion of worldly hyperintensionality: the idea that some hyperintensional phenomena derive from features of objective reality, independently of how we represent it. Against this view, Darragh Byrne and Naomi Thompson argue that the correct understanding of such phenomena must be conceptualist in nature, and claim that hyperintensionality always derives from features of representations. In the present work I defend the genuine distinction between worldly and representational hyperintensionality through a new framing of the issue: the comparison with worldly intensionality. I argue that locating the sources of hyperintensionality should not be affected by preferences towards any specific semantic framework, and reject Byrne and Thompson's argument against worldly hyperintensionality.

David Kaplan famously argued that mainstream semantics for modal logic, which identifies propositions with sets of possible worlds, is affected by a cardinality paradox. Takashi Yagisawa showed that a variant of the same paradox arises when standard possible worlds semantics is extended with impossible worlds to deliver a hyperintensional account of propositions. After introducing the problem, we discuss two general approaches to a possible solution: giving up on sets and giving up on worlds, either in the background semantic framework or in the corresponding conception of propositions. As a result, we conclude that abandoning worlds by embracing a truthmaker-based approach offers a promising way to account for hyperintensional propositions without facing the paradoxical outcome.