Abstract
The received wisdom on ability modals is that they differ from their epistemic and deontic cousins in what inferences they license and better receive a universal or conditional analysis instead of an existential one. The goal of this paper is to sharpen the empirical picture about the semantics of ability modals, and to propose an analysis that explains what makes the can of ability so special but that also preserves the crucial idea that all uses of can share a common lexical semantics. The resulting framework combines tools and techniques from dynamic and inquisitive semantics with insights from the literature of the role of agency in deontic logic. It explains not only why the can of ability, while essentially being an existential modal operator, sometimes resists distribution over disjunction and interacts with its duals in particular and hitherto unnoticed ways, but also has a tendency to license free choice inferences.
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References
Abusch, D. (2004). On the temporal composition of infinitives. In J. Guéron & J. Lecarme (Eds.), The syntax of time (pp. 27–53). Cambridge, MA: MIT Press.
Aher, M. (2012). Free choice in deontic inquisitive semantics (DIS). In M. Aloni, V. Kimmelman, F. Roelofsen, G.W. Sassoon, K. Schulz, & M. Westera (Eds.), Logic, language and meaning (pp. 22–31). https://doi.org/10.1007/978-3-642-31482-7_3.
Aloni, M. (2016). FC disjunction in state-based semantics. Manuscript, University of Amsterdam.
Aloni, M. (2007). Free choice, modals, and imperatives. Natural Language Semantics, 15(1), 65–94. https://doi.org/10.1007/s11050-007-9010-2.
Alonso-Ovalle, L. (2006) . Disjunction in alternative semantics. Ph.D. thesis, University of Massachusetts, Amherst.
Anderson, A. R. (1967). Some nasty problems in the formal logic of ethics. Noûs, 1(4), 345–360. https://doi.org/10.2307/2214623.
Anglberger, A. J. J., Faroldi, F. L. G., & Korbmacher, J. (2016). An exact truthmaker semantics for permission and obligation. In O. Roy, A. Tamminga, & M. Willer (Eds.), Proceedings of DEON 2016 (pp. 16–31). London: College Publications.
Barker, C. (2010). Free choice permission as resource-sensitive reasoning. Semantics and Pragmatics, 3(10), 1–38. https://doi.org/10.3765/sp.3.10.
Belnap, N. (1991). Before refraining: Concepts for agency. Erkennnis, 34(2), 137–169. https://doi.org/10.1007/BF00385718.
Belnap, N., Perloff, M., & Ming, X. (2001). Facing the future: Agents and choices in our indeterminist world. New York: Oxford University Press.
Bhatt, R. (1999) . Covert modality in non-finite contexts. Ph.D. thesis, University of Philadelphia, Philadelphia.
Broersen, J. (2004). Action negation and alternative reduction for dynamic deontic logics. Journal of Applied Logic, 2(1), 153–168. https://doi.org/10.1016/j.jal.2004.01.007.
Broome, J. (2013). Rationality through reasoning. Malden, MA: Wiley Blackwell. https://doi.org/10.1002/9781118609088.
Brown, M. A. (1988). On the logic of ability. Journal of Philosophical Logic, 17(1), 1–26. https://doi.org/10.1007/bf00249673.
Cappelen, H., & Dever, J. (2013). The inessential indexical: On the philosophical insignificance of perspective and the first person. New York: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199686742.001.0001.
Chellas, B. F. (1969). The logical form of imperatives. Ph.D. thesis, Stanford University.
Chisholm, R. M. (1964). The ethics of requirement. American Philosophical Quarterly, 1(2), 147–153.
Chrisman, M. (2012). ‘Ought’ and control. Australasian Journal of Philosophy, 90(3), 433–451. https://doi.org/10.1080/00048402.2011.611151.
Clarke, R. (2014). Omissions: Agency, metaphysics, and responsibility. New York: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199347520.001.0001.
Condoravdi, C. (2002). Temporal interpretation of modals: Modals for the present and for the past. In D. I. Beaver, S. Kaufmann, B. Clark, & L. Casillas (Eds.), The construction of meaning (pp. 59–88). Stanford, CA: CSLI Publications.
Copley, B., & Wolff, P. (2014). Theories of causation should inform linguistic theory and vice versa. In B. Copley & F. Martin (Eds.), Causation in grammatical structures (pp. 11–57). Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199672073.003.0002.
Coppock, E., & Wechsler, S. (2018). The proper treatment of egophoricity in Kathmandu Newari. In M. Huang & K. M. Jaszczolt (Eds.), Expressing the self: Cultural diversity and cognitive universals (pp. 40–57). Oxford: Oxford University Press. https://doi.org/10.1093/oso/9780198786658.003.0003.
Cross, C. B. (1986). ‘Can’ and the logic of ability. Philosophical Studies, 50(1), 53–64. https://doi.org/10.1007/BF00355160.
D’Altan, P., Meyer, J.-J. Ch., & Wieringa, R. J. (1996). An integrated framework for ought-to-be and ought-to-do constraints. Artificial Intelligence and Law, 4(2), 77–111. https://doi.org/10.1007/BF00116787.
Dignum, F., Meyer, J.-J. Ch., & Wieringa, R. J. (1996). Free Choice and contextually permitted actions. Studia Logica: An International Journal for Symbolic Logic, 57(1), 193–220. https://doi.org/10.1007/BF00370675.
Elgesem, D. (1997). The modal logic of agency. Nordic Journal of Philosophical Logic, 2(2), 1–46.
Farkas, D. (1992). On obviation. In I. A. Sag & A. Szabolcsi (Eds.), Lexical matters (pp. 85–109). Stanford, CA: CSLI Publications.
Finlay, S., & Snedegar, J. (2014). One ought too many. Philosophy and Phenomenological Research, 89(1), 102–124. https://doi.org/10.1111/j.1933-1592.2012.00646.x.
Folli, R., & Harley, H. (2008). Teleology and animacy in external arguments. Lingua, 118(2), 190–202. https://doi.org/10.1016/j.lingua.2007.02.004.
Ford, A. (2016). On what is in front of your nose. Philosophical Topics, 44(1), 141–161. https://doi.org/10.5840/philtopics20164419.
Fox, D. (2007). Free choice and the theory of scalar implicatures. In U. Sauerland & P. Stateva (Eds.), Presupposition and implicature in compositional semantics (pp. 71–120). Hampshire: Palgrave Macmillan. https://doi.org/10.1057/9780230210752_4.
Franke, M. (2011). Quantity implicatures, exhaustive interpretation, and rational conversation. Semantics and Pragmatics, 4(1), 1–82. https://doi.org/10.3765/sp.4.1.
Fusco, M. (2015a). Deontic disjunction. Ph.D. thesis, UC Berkeley.
Fusco, M. (2015b). Deontic modality and the semantics of choice. Philosophers’ Imprint, 15(28), 1–27. https://doi.org/10.2027/spo.3521354.0015.028.
Geach, P. T. (1982). Whatever happened to deontic logic? Philosophia, 11(1–2), 1–12. https://doi.org/10.1007/BF02378802.
Geurts, B. (2005). Entertaining alternatives: Disjunctions as modals. Natural Language Semantics, 13(4), 383–410. https://doi.org/10.1007/s11050-005-2052-4.
Giannakidou, A. (2001). The meaning of free choice. Linguistics and Philosophy, 24(6), 659–735. https://doi.org/10.1023/A:1012758115458.
Giannakidou, A., & Staraki, E. (2012). Ability, action, and causation: From pure ability to force. In A. Mari, C. Beyssade, & F. Del Prete (Eds.), Genericity (pp. 250–275). Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199691807.003.0009.
Goldstein, S. (2019). Free choice and homogeneity. Semantics and Pragmatics, 12(23). https://doi.org/10.3765/sp.12.23
Groenendijk, J., & Stokhof, M. (1991a). Dynamic predicate logic. Linguistics and Philosophy, 14(1), 39–100. https://doi.org/10.1007/BF00628304.
Groenendijk, J., & Stokhof, M. (1991b). Two theories of dynamic semantics. In J. van Eijk (Ed.), Lecture notes in artificial intelligence: Logics in AI, European Workshop JELIA ’90 (pp. 55–64). Berlin: Springer. https://doi.org/10.1007/BFb0018433.
Hackl, M. (1998). On the semantics of “ability attributions”. Manuscript, MIT. http://web.mit.edu/hackl/www/papers/files/AbilityAttributions.pdf.
Hacquard, V. (2006). Aspects of modality. Ph.D. thesis, MIT, Cambridge, MA.
Harel, D. (1984). Dynamic logic. In D. Gabbay & F. Guenthner (Eds.), Handbook of philosophical logic II: Extensions of classical logic (pp. 497–604). Dordrecht: Reidel. https://doi.org/10.1007/978-94-009-6259-0_10.
Hargreaves, D. (2005). Agency and intentional action in Kathmandu Newar. Himalayan Linguistics, 5, 1–48.
Harman, G. (1986). Change in view. Cambridge, MA: MIT Press.
Heim, I. (1982). The semantics of definite and indefinite noun phrases. Ph.D. thesis, University of Massachusetts, Amherst.
Hilpinen, R., & McNamara, P. (2012). Deontic logic: A historical survey and introduction. In D. Gabbay, J. Horty, X. Parent, R. van der Meyden, & L. van der Torre (Eds.), Handbook of deontic logic and normative systems (pp. 3–136). London: College Publications.
Horty, J. F. (2001). Agency and deontic logic. New York: Oxford University Press. https://doi.org/10.1093/0195134613.001.0001.
Horty, J. F. (2014). Deontic modals: Why abandon the classical semantics? Pacific Philosophical Quarterly, 4(95), 424–460. https://doi.org/10.1111/papq.12044.
Horty, J. F., & Belnap, N. (1995). The deliberative stit: A study of action, omission, ability, and obligation. Journal of Philosophical Logic, 24(6), 583–644. https://doi.org/10.1007/BF01306968.
Horty, J. F., & Pacuit, E. (2017). Action types in STIT semantics. The Review of Symbolic Logic, 4(10), 617–637. https://doi.org/10.1017/S1755020317000016.
Ju, F., & van Eijck, J. (2019). A temporal dynamic deontic logic. Journal of Logic and Computation, 29(2), 265–284. https://doi.org/10.1093/logcom/exy008.
Kamp, H. (1973). Free choice permission. Proceedings of the Aristotelian Society, 74, 57–74.
Kamp, H. (1978). Semantics versus pragmatics. In F. Guenthner & S. J. Schmidt (Eds.), Formal semantics and pragmatics for natural languages (pp. 255–287). Dordrecht: Reidel. https://doi.org/10.1007/978-94-009-9775-2_9.
Kamp, H. (1981). A theory of truth and representation. In J. Groenendijk, T. Janssen, & M. Stokhof (Eds.), Formal methods in the study of language, Part I (pp. 277–320). Amsterdam: Mathematisch Centrum.
Kamp, H., Genabith, J. G., & Reyle, U. (2011). Discourse representation theory. In D. M. Gabbay & F. Guenthner (Eds.), Handbook of philosophical logic (2nd ed., Vol. 15, pp. 125–394). Dordrecht: Springer. https://doi.org/10.1007/978-94-007-0485-5_3.
Kamp, H., & Reyle, U. (1993). From discourse to the logic: Introduction to modeltheoretic semantics of natural language, formal logic and discourse representation theory. Dordrecht: Kluwer Academic Press. https://doi.org/10.1007/978-94-017-1616-1.
Kanger, S. (1971). New foundations for ethical theory. In R. Hilpinen (Ed.), Deontic logic: Introductory and systematic readings (pp. 36–58). Dordrecht: Reidel. https://doi.org/10.1007/978-94-010-3146-2_2.
Kenny, A. (1975). Will, freedom and power. Oxford: Blackwell.
Kenny, A. (1976). Human abilities and dynamic modalities. In J. Manninen & R. Tuomela (Eds.), Essays on explanation and understanding (pp. 209–232). Dordrecht: Reidel. https://doi.org/10.1007/978-94-010-1823-4_11.
Klecha, P. (2016). Modality and embedded temporal operators. Semantics and Pragmatics, 9(9), 1–55. https://doi.org/10.3765/sp.9.9.
Klinedinst, N. (2007). Plurality and possibility. Ph.D. thesis, UCLA.
Kratzer, A., & Shimoyama, J. (2002). Indeterminate pronouns: The view from Japanese. In Y. Otsu (Ed.), Proceedings of the Third Tokyo Conference on Psycholinguistics (pp. 1–25). Tokyo: Hituzi Sybobo.
Kratzer, A. (1977). What ‘must’ and ‘can’ must and can mean. Linguistics and Philosophy, 1(3), 337–355. https://doi.org/10.1007/BF00353453.
Kratzer, A. (1981). The notional category of modality. In H. Eikmeyer & H. Rieser (Eds.), Words, worlds, and contexts: New approaches to word semantics (pp. 38–74). Berlin: De Gruyter.
Kratzer, A. (1991). Modality. In A. von Stechow & D. Wunderlich (Eds.), Semantics: An international handbook of contemporary research (pp. 639–650). Berlin: De Gruyter.
Kratzer, A. (2012). Modals and conditionals. New York: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199234684.001.0001.
Maier, J. (2013). The agentive modalities. Philosophy and Phenomenological Research, 90(1), 113–134. https://doi.org/10.1111/phpr.12038.
Mandelkern, M. (2018). You must! Maybe you won’t. In J. Broersen, C. Condoravdi, S. Nair, & G. Pigozzi (Eds.), Proceedings of Deontic Logic and Normative Systems. 14th International Conference (DEON) (pp. 227–246). London: College Publications.
Mandelkern, M., Schultheis, G., & Boylan, D. (2017). Agentive modals. Philosophical Review, 126(3), 301–343. https://doi.org/10.1215/00318108-3878483.
Marušić, B. (2015). Evidence and agency: Norms of belief for promising and resolving. New York: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780198714040.001.0001.
Meinong, A. (1917). Über Emotionale Präsentation. Wien: A. Hölder.
Meyer, J.-J. Ch. (1987a). A different approach to deontic logic: Deontic logic viewed as a variant of dynamic logic. Notre Dame Journal of Formal Logic, 29(1), 109–136. https://doi.org/10.1305/ndjfl/1093637776.
Meyer, J.-J. Ch. (1987b). A simple solution to the “deepest” paradox in deontic logic. Logique et Analysis, 30(117/118), 81–90. https://www.jstor.org/stable/44084186.
Meyer, J.-J. Ch., van der Hoek, W., & van Linder, B. (1999). A logical approach to the dynamics of commitments. Artificial Intelligence, 113(1–2), 1–40. https://doi.org/10.1016/S0004-3702(99)00061-2.
Ninan, D. (2005). Two puzzles about deontic necessity. In J. Gajewski, V. Hacquard, B. Nickel, & S. Yalcin (Eds.), MIT Working Papers in Linguistics 51: New work on modality (pp. 149–178). Cambridge, MA: MITWPL.
Nouwen, R. (2018). Free choice and distribution over disjunction: The case of free choice ability. Semantics and Pragmatics, 11(14). https://doi.org/10.3765/sp.11.4
Pietroski, P. M. (1998). Actions, adjuncts, and agency. Mind, 107(425), 73–111. https://doi.org/10.1093/mind/107.425.73.
Portner, P. (2009). Modality. New York: Oxford University Press.
Prior, A. N. (1967). Past, present and future. Oxford: Clarendon Press. https://doi.org/10.1093/acprof:oso/9780198243113.001.0001.
Rooth, M., & Partee, B. H. (1983). Generalized conjunction and type ambiguity. In R. Bäuerle, C. Schwarze, & A. von Stechow (Eds.), Meaning, use and interpretation of language (pp. 361–383). Berlin: De Gruyter.
Ruwet, N. (1984). Je veux partir / \(^{*}\)Je veux que je parte: On the distribution of finite complements and infinitival complements in French. Cahiers de Grammaire, 7, 75–138.
Schlenker, P. (2005). The Lazy Frenchman’s approach to the subjunctive. In T. Geerts, I. van Ginneken, & H. Jacobs (Eds.), Romance languages and linguistic theory 2003: Selected papers from ‘Going Romance’ 2003, Nijmegen, 20–22 November (pp. 269–309). Amsterdam: John Benjamins. https://doi.org/10.1075/cilt.270.15sch.
Schroeder, M. A. (2011). Ought, agents, and actions. Philosophical Review, 120(1), 1–41. https://doi.org/10.1215/00318108-2010-017.
Schulz, K. (2005). A pragmatic solution for the paradox of free choice permission. Synthese, 147(2), 343–377. https://doi.org/10.1007/s11229-005-1353-y.
Segerberg, K. (1982). A deontic logic of action. Studia Logica, 41(2–3), 269–282. https://doi.org/10.1007/BF00370348.
Segerberg, K. (1989). Bringing it about. Journal of Philosophical Logic, 18(4), 327–347. https://doi.org/10.1007/BF00262940.
Segerberg, K. (1992). Action incompleteness. Studia Logica, 51(3/4), 533–550. https://doi.org/10.1007/BF01028974.
Sergot, M. (2012). Normative positions. In D. Gabbay, J. Horty, X. Parent, R. van der Meyden, & L. van der Torre (Eds.), Handbook of deontic logic and normative systems (pp. 353–406). London: College Publications.
Sergot, M. (2014). Some examples formulated in a ‘seeing to it that’ logic: Illustrations, observations, problems. In T. Müller (Ed.), Nuel Belnap on indeterminism and free action. Outstanding Contributions to Logic (Vol. 2, pp. 223–256). Cham: Springer.
Silk, A. (Forthcoming). Weak and strong necessity modals. In B. Dunaway & D. Plunkett (Eds.), Meaning, decision, and norms: Themes from the work of Allan Gibbard. Ann Arbor, MI: Michigan Publishing.
Silk, A. (2015). How to be an ethical expressivist. Philosophy and Phenomenological Research, 91, 47–81. https://doi.org/10.1111/phpr.12138.
Simons, M. (2005). Dividing things up: The semantics of or and the modal/or interaction. Natural Language Semantics, 13(3), 271–316. https://doi.org/10.1007/s11050-004-2900-7.
Starr, W. B. (2016). Expressing permission. In M. Moroney, C.-R. Little, J. Collard, & D. Burgdorf (Eds.), Proceedings of SALT XXVI (pp. 325–349). Ithaca, NY: CLC Publications. https://doi.org/10.3765/salt.v26i0.3832.
Thomason, R. H. (1970). Indeterminist time and truth-value gaps. Theoria, 36(3), 264–281. https://doi.org/10.1111/j.1755-2567.1970.tb00427.x.
Thomason, R. H. (1981). Deontic logic and the role of freedom in moral deliberation. In R. Hilpinen (Ed.), New studies in deontic logic (pp. 177–186). Dordrecht: Reidel. https://doi.org/10.1007/978-94-009-8484-4_8.
Thomason, R. H. (2005). Ability, action, and context. Manuscript, University of Michigan. http://web.eecs.umich.edu/~rthomaso/documents/action/ability.pdf.
van Benthem, J. (1986). Essays in logical semantics. Dordrecht: Reidel. https://doi.org/10.1007/978-94-009-4540-1.
van der Hoek, W., van Linder, B., & Meyer, J.-J. Ch. (1999). An integrated modal approach to rational agents. In M. J. Woolridge & A. S. Rao (Eds.), Foundations of rational agency (pp. 133–167). Dordrecht: Kluwer. https://doi.org/10.1007/978-94-015-9204-8_7.
van der Meyden, R. (1996). The dynamic logic of permission. Journal of Logic and Computation, 6(3), 465–479. https://doi.org/10.1093/logcom/6.3.465.
van Linder, B., van der Hoek, W., & Meyer, J.-J. Ch. (1998). Formalising abilities and opportunities of agents. Fundamenta Informaticae, 34(1,2): 53–101. https://doi.org/10.3233/FI-1998-341203.
Veltman, F. (1985). Logics for conditionals. Ph.D. thesis, University of Amsterdam.
Veltman, F. (1996). Defaults in update semantics. Journal of Philosophical Logic, 25(3), 221–261. https://doi.org/10.1007/BF00248150.
Wedgwood, R. (2006). The meaning of ‘ought’. In R. Shafer-Landau (Ed.), Oxford studies in metaethics (Vol. 1, pp. 127–160). New York: Oxford University Press.
Wedgwood, R. (2007). The nature of normativity. New York: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199251315.001.0001.
Willer, M. (2015). Simplifying counterfactuals. In T. Brochhagen, F. Roelofsen, & N. Theiler (Eds.), Proceedings of the 20th Amsterdam Colloquium (pp. 428–437). Amsterdam: ILLC Publications.
Willer, M. (2017). Widening free choice. In A. Cremers, T. van Gessel, & F. Roelofsen (Eds.), Proceedings of the 21st Amsterdam Colloquium (pp. 511–520). Amsterdam: ILLC Publications.
Willer, M. (2018). Simplifying with free choice. Topoi, 37(3), 379–392. https://doi.org/10.1007/s11245-016-9437-5.
Williams, B. (1981). ‘Ought’ and obligation. In Moral luck: Philosophical papers 1973–1980 (pp. 114–123). Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9781139165860.010.
Wright, W., & George, H. (1951). Deontic logic. Mind, 60(237), 1–15. https://doi.org/10.1093/mind/LX.237.1.
Wright, W., & George, H. (1968). An essay on deontic logic and the theory of action. Amsterdam: North-Holland.
Zimmermann, T. E. (2000). Free choice disjunction and epistemic possibility. Natural Language Semantics, 8(4), 255–290. https://doi.org/10.1023/A:1011255819284.
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Thanks to three anonymous L&P referees as well as to audiences at the workshop on Inquisitiveness Below and Beyond the Sentence Boundary, the University of Chicago, the University of Dubrovnik, the 2018 Central APA, and the Martin-Luther-University of Halle-Wittenberg for comments and discussion. David Boylan and Paul Portner provided detailed and constructive written comments that proved to be invaluable in improving this manuscript. Special thanks also to Melissa Fusco, Jeroen Groenendijk, Jeff Horty, Johannes Hübner, Matt Mandelkern, and Floris Roelofsen for illuminating discussions. The usual disclaimers apply.
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Willer, M. Two puzzles about ability can. Linguist and Philos 44, 551–586 (2021). https://doi.org/10.1007/s10988-020-09296-6
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DOI: https://doi.org/10.1007/s10988-020-09296-6