Abstract
The debate over the semantics of demonstratives is in a stalemate between those positions attributing some referential significance to a speaker's referential intentions and those not doing so. The latter approach is supported by cases driving the non-intentional intuition in which the speakers mistakenly point at objects other than the ones they intend to refer to. The intentionalists, such as Martin Montminy, reply that once we think of potential extensions of such cases in which the speaker explains to the hearer what her referential intention was, it is the intentionalist intuition that prevails. In this paper, I develop a semantics for demonstratives whose task is to accommodate both of these seemingly contradictory intuitions within the general non-intentionalist framework. The proposed idea is that the reference of a use of a demonstrative can change over time, as the discourse develops. This idea is handled formally by the addition of a parameter of the index of evaluation that represents the referentially relevant aspects of the state of the discourse. Also, I provide reasons for preferring my view over two rival positions: one by Palle Leth, and one that I adjust to the demands of the semantics of demonstratives from the theory that Kai von Fintel and Anthony Gillies offer for epistemic modals, and from Laura Delgado's polyreferentialism for proper names.