On the interaction of aspect and modal auxiliaries

Linguistics and Philosophy 32 (3):279-315 (2009)
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Abstract

This paper discusses the interaction of aspect and modality, and focuses on the puzzling implicative effect that arises when perfective aspect appears on certain modals: perfective somehow seems to force the proposition expressed by the complement of the modal to hold in the actual world, and not merely in some possible world. I show that this puzzling behavior, originally discussed in Bhatt (1999, Covert modality in non-finite contexts) for the ability modal, extends to all modal auxiliaries with a circumstantial modal base (i.e., root modals ), while epistemic interpretations of the same modals are immune to the effect. I propose that implicative readings are contingent on the relative position of the modal w.r.t. aspect: when aspect scopes over the modal (as I argue is the case for root modals), it forces an actual event, thereby yielding an implicative reading. When a modal element scopes over aspect, no actual event is forced. This happens (i) with epistemics, which structurally appear above tense and aspect; (ii) with imperfective on a root modal: imperfective brings in an additional layer of modality, itself responsible for removing the necessity for an actual event. This proposal enables us to solve the puzzle while maintaining a standardized semantics for aspects and modals.

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Citations of this work

Williamsonian modal epistemology, possibility-based.Barbara Vetter - 2016 - Canadian Journal of Philosophy 46 (4-5):766-795.
Counterpossibles (not only) for dispositionalists.Barbara Vetter - 2016 - Philosophical Studies 173 (10):2681-2700.
On the event relativity of modal auxiliaries.Valentine Hacquard - 2010 - Natural Language Semantics 18 (1):79-114.
Necessary Connections in Context.Alex Kaiserman - 2017 - Erkenntnis 82 (1):45-64.

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On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
Counterfactuals.David K. Lewis - 1973 - Malden, Mass.: Blackwell.
Knowledge and belief.Jaakko Hintikka - 1962 - Ithaca, N.Y.,: Cornell University Press.
Philosophical papers.David Kellogg Lewis - 1983 - New York: Oxford University Press.
Semantics in generative grammar.Irene Heim & Angelika Kratzer - 1998 - Malden, MA: Blackwell. Edited by Angelika Kratzer.

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