Monads for hyperintensionality? A situation semantics for hyperintensional side effects
Luke Burke · 2019
P-HYPE, the semantic theory we outline, uses monads from category theory in order to integrate a perspective-sensitive semantic theory with a hyperintensional logic, HYPE (Leitgeb 2018).This enables us to to capture in a fine-grained way the utterer's perspective on other people's perspectives, a phenomenon that (Asudeh and Giorgolo 2016) argue plays a role in natural language.But it also enables us to construct a particular approach to hyperintensionality in natural language within HYPE, since HYPE itself is compatible with different accounts of hyperintensionality in natural language.In P-HYPE, hyperintensionality is modelled as a side effect in the sense of (Charlow 2014) and of consisting in a special type of perspective sensitivity.P-HYPE builds on the account of (Asudeh and Giorgolo 2016), by carving out a notion of perspectives as special sets of situations which can be combined together via a fusion relation.In addition, we briefly illustrate how we can combine P-HYPE with an account of certain kinds of intra-sentential anaphora.