A conservative theory of gradable modality

Robert Pasternak


In the tradition of modal semantics stemming from the work of Kratzer (1981, 1991), several attempts have been made to analyze adjectives like important, which are both modal and gradable. I show that existing theories of such gradable modal adjectives (GMAs) in this framework do not allow for comparisons across distinct sets or prioritizations of premises, as the basis for comparison in these theories is too closely wedded to the particular choice and ranking of priorities. To fix this, I include modal degrees in the ontology, with sets of premises being relativized to those degrees. What results is a theory that allows comparison across sets of priorities, while still retaining the premise-based world ordering and quantification that lies at the heart of Kratzer’s approach. This theory is then extended to account for existentially-quantifying GMAs like permissible, as well as entailment relations between modal auxiliaries and GMAs.

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Beck, Sigrid. 2011. Comparison constructions. In Klaus von Heusinger, Claudia Maienborn & Paul Portner (eds.), Semantics: An International Handbook of Natural Language Meaning Vol. 2, 1341–1390. Berlin: de Gruyter.

Katz, Graham, Paul Portner & Aynat Rubinstein. 2012. Ordering combination for modal comparison. In Anca Chereches (ed.), Semantics and Linguistic Theory (SALT) 22, 488–507.

Kennedy, Christopher. 1997. Projecting the adjective: The syntax and semantics of gradability and comparison. Santa Cruz, CA: University of California Santa Cruz PhD dissertation.

Kennedy, Christopher. 2001. Polar opposition and the ontology of ‘degrees’. Linguistics and Philosophy 24(1). 33–70.

Kennedy, Christopher. 2007. Vagueness and grammar: The semantics of relative and absolute gradable adjectives. Linguistics and Philosophy 30(1). 1–45.

Kennedy, Christopher & Louise McNally. 1999. From event structure to scale structure: Degree modification in deverbal adjectives. In T. Matthews & D. Strolovitch (eds.), Semantics and Linguistic Theory (SALT) 9, 163–180.

Kennedy, Christopher & Louise McNally. 2005. Scale structure, degree modification, and the semantics of gradable predicates. Language 81(2). 345–381.

Klecha, Peter. 2014. Bridging the divide: Scalarity and modality. Chicago, IL: University of Chicago PhD dissertation.

Kratzer, Angelika. 1977. What ‘must’ and ‘can’ must and can mean. Linguistics and Philosophy 1(3). 337–355.

Kratzer, Angelika. 1981. The notional category of modality. In H.J. Eikmeyer & H. Rieser (eds.), Words, Worlds, and Contexts: New Approaches in Word Semantics, 38–74. Berlin: de Gruyter.

Kratzer, Angelika. 1991. Modality. In Arnim von Stechow & Dieter Wunderlich (eds.), Semantik/Semantics: An International Handbook of Contemporary Research, 639–650. Berlin: de Gruyter.

Kratzer, Angelika. 2012. Modals and Conditionals: New and Revised Perspectives. Oxford: Oxford University Press.

Lassiter, Daniel. 2011a. Measurement and modality: The scalar basis of modal semantics. New York, NY: New York University PhD dissertation.

Lassiter, Daniel. 2011b. Nouwen’s puzzle and a scalar semantics for obligation, needs, and desires. In Neil Ashton, Anca Chereches & David Lutz (eds.), Semantics and Linguistic Theory (SALT) 21, 694–711.

Lewis, David. 1973. Counterfactuals. Malden, MA: Blackwell.

Lewis, David. 1981. Ordering semantics and premise semantics for counterfactuals. Journal of Philosophical Logic 10(2). 217–234.

Portner, Paul & Aynat Rubinstein. 2014. Extreme and non-extreme deontic modals. To appear in N. Charlow & M. Chrisman (eds.), Deontic Modals, Oxford University Press (Pre-final version available at http://semanticsarchive.net/Archive/ TUxZDIyY/).

Rotstein, Carmen & Yoad Winter. 2004. Total adjectives vs. partial adjectives: Scale structure and higher-order modifiers. Natural Language Semantics 12(3). 259–288.

Villalta, Elisabeth. 2008. Mood and gradability: an investigation of the subjunctive mood in Spanish. Linguistics and Philosophy 31(4). 467–522.

von Fintel, Kai & Sabine Iatridou. 2008. How to say ought in foreign: The composition of weak necessity modals. In Jacqueline Guéron & Jacqueline Lecarme (eds.), Time and Modality, 115–141. Springer.

von Stechow, Arnim. 1984. Comparing semantic theories of comparison. Journal of Semantics 3(1). 1–77.

DOI: http://dx.doi.org/10.3765/salt.v26i0.3805

Copyright (c) 2016 Robert Pasternak