Abstract
Bare conditionals, I argue, exhibit Conditional Duality in that when they appear in downward entailing environments they differ from bare conditionals elsewhere in having existential rather than universal force. Two recalcitrant phenomena are shown to find a new explanation under this thesis: bare conditionals under only, and bare conditionals in the scope of negative nominal quantifiers, or what has come to be known as Higginbotham’s puzzle. I also consider how bare conditionals behave when embedded under negation, arguing that such conditionals often involve denial negation. One important conclusion that emerges from the discussion is that an account of bare conditionals that validates Conditional Excluded Middle is not warranted. By limiting the scope of the (variably) strict analysis Conditional Duality is also a way of maintaining such an account.
Similar content being viewed by others
References
Adams, E. (1975). The logic of conditionals. Dordrecht: Reidel.
Atlas, J. D. (1993). The importance of being only: Testing the neo-Gricean versus neo entailment paradigms. Journal of Semantics, 10, 301–318.
Barker, S. J. (1994). Conditional excluded middle, conditional assertion, and only if. Analysis, 53, 254–261.
Barker, S. J. (1997). E-type pronouns, DRT, dynamic semantics and the quantifier/variable binding model. Linguistics and Philosophy, 20, 195–228.
Bar-Lev, M. (2016). Homogeneity phenomena and free choice disjunction. Handout, talk Hebrew University Jerusalem.
Bartsch, R. (1973). ‘Negative Transportation’ gibt es nicht. Linguistische Berichte, 27, 1–7.
Bassi, I., & Bar-Lev, M. (2016). Existential semantics for bare conditionals. Handout, MIT LF Reading Group meeting.
Cohen, A. (2004). Existential generics. Linguistics and Philosophy, 27, 137–168.
Deal, A. R. (2011). Modals without scales. Language, 87(3), 559–585.
Dekker, P. (2001). On if and only. In R. Hastings, B. Jackson, & Z. Zvolensky (Eds.), Proceedings from SALT XI (pp. 114–133). Ithaca, NY: CLC Publications.
Dowty, D. (1994). The role of negative polarity and concord marking in natural language reasoning. In Proceedings from SALT IV.
Dummett, M. (1973). Frege. Philosophy of language. New York: Harper & Row Publishers.
Egrì P. & Politzer, G. (2013). On the negation of indicative conditionals. In M. Aloni, M. Franke, & F. Roelofsen (Eds.), Proceedings of the 19th Amsterdam Colloquium (pp. 10–18), University of Amsterdam.
Fodor, J. D. (1970). The linguistic description of opaque contexts. Dissertation, MIT.
Gajewski, J. (2005). On the excluded middle. Paper presented at the 36th Meeting of the North Eastern Linguistics Society, University of Massachusetts Amherst.
Geis, M. (1973). If and unless. In B. B. Kachru, R. B. Lees, Y. Malkiel, A. Pietrangeli, & S. Saporta (Eds.), Issues in linguistics (Papers in Honor of Henry and Reneé Kahane) (pp. 231–253). Urbana-Champaign, IL: University of Illinois Press.
Heim, I., & Kratzer, A. (1998). Semantics in generative grammar. New York: Wiley.
Herburger, E. (2000). What counts. Cambridge, Massachusetts: MIT Press.
Herburger, E. (2015a). Only if: If only we understood it. In: E. Csipak, & H. Zeijlstra (Eds.), Proceedings of Sinn und Bedeutung 19 (pp. 284–301), published online and hosted by the German Semantic Society.
Herburger, E. (2015b). Conditional perfection: The truth and the whole truth. In: S. D’Antonio, M. Moroney, & C. R. Little (Eds.) Proceedings of Salt 25 (pp. 615–635), published online and hosted by Linguistic Society of America.
Herburger, E., & Mauck, S. (2013). The chance of being an NPI. In E. Csipak, R. Eckardt, M. Li, & M. Sailer (Eds.), Beyond ‘any’ and ‘ever’. New explorations in negative polarity sensitivity (pp. 213–240). Berlin: Mouton DeGrutyer.
Higginbotham, J. (1986). Linguistic theory and Davidson’s program in semantics. In E. LePore (Ed.), Truth and interpretation: Perspectives on the philosophy of Donald Davidson (pp. 29–48). Oxford: Basil Blackwell.
Higginbotham, J. (2003). Conditionals and compositionality. In J. Hawthorne & D. Zimmerman (Eds.), Language and philosophical linguistics, Volume 17: Philosophical perspectives (pp. 181–194). Oxford: Blackwell.
Horn, L. (1989). A natural history of negation. Chicago: Chicago University Press.
Horn, L. (1996). Exclusive company: Only and the semantics of vertical inference. Journal of Semantics, 13, 11–40.
Horn, L. (2002). Assertoric inertia and NPI licensing. In M. Andronis, E. Debenport, A. Pycha, & K. Yoshimura (Eds.), Proceedings from the Chicago linguistics society: The panels (pp. 55–82). Chicago: Chicago Linguistic Society.
Huitink, J. (2010). Quantified conditionals and compositionality. Language and Linguistics Compass, 4, 42–53.
Kadmon, N. (1989). On unique and non-unique reference and asymmetric quantification. Dissertation, University of Massachusetts, Amherst, published 1993. New York: Garland.
Klinedinst, N. (2010). Quantified conditionals and Conditional Excluded Middle. Journal of Semantics, 28, 149–170.
Kratzer, A. (1986). Conditionals. In A. M. Farley, P. Farley, & K. E. McCollough (Eds.), Papers from the Parasession pragmatics and grammatical theory (pp. 115–135). Chicago: Chicago Linguistics Society.
Kratzer, A. (2012). Modals and conditionals. Oxford: Oxford University Press.
Kratzer, A. (2014). Chasing hook: Quantified indicative conditionals. In W. Lee & J. Hawthorne (Eds.), Conditionals, probability and paradox: Themes from the philosophy of Dorothy Edgington. Oxford: Oxford University Press.
Krifka, M. (1996). Pragmatic strengthening in plural predications and donkey sentences. In T. Galloway & J. Spence (Eds.), Proceedings of SALT IV. Ithaca, NY: CLC Publications.
Lasersohn, P. (1999). Pragmatic halos. Language, 75, 522–551.
Leslie, S. J. (2009). If, unless and quantification. In R. J. Stainton & C. Viger (Eds.), Compositionality, context and semantic values: Essays in honour of Ernie Lepore, Volume 85: Studies in linguistics and philosophy (pp. 3–30). Dordrecht: Springer.
Lewis, C. I. (1918). Survey of symbolic logic. Berkeley: University of California Press.
Lewis, D. (1973). Counterfactuals. Oxford: Blackwell.
Lewis, D. (1975). Adverbs of quantification. In E. Keenan (Ed.), Formal semantics of natural language (pp. 178–188). Cambridge: Cambridge University Press.
Löbner, S. (1985). Definites. Journal of Semantics, 4, 275–326.
Ludlow, P. (2002). LF and natural logic. In G. Preyer & G. Peter (Eds.), Logical form and language (pp. 132–168). Oxford: Oxford University Press.
Magri, G. (2013). An account for the homogeneity effects triggered by plural definites and conjunction based on double strengthening. Ms. CNRS, Paris 8.
Malamud, S. A. (2012). The meaning of plural definites: A decision theoretic approach. Semantics and Pragmatics, 5, 1–59.
Matthewson, L. (2013). Gitskan modals. International Journal of American Linguistics, 79, 349–394.
McCawley, J. (1974). If and only if. Linguistic Inquiry, 5, 632–635.
McCawley, J. (1993). Everything linguists always wanted to know about semantics but were ashamed to ask. Chicago: University of Chicago Press.
Peterson, T. (2010). Epistemic modality and evidentiality in Gitskan at the semantics-pragmatics interface. Doctoral dissertation, University of British Columbia.
Pizzi, C., & Williamson, T. (2005). Conditional excluded middle in systems of consequential implication. Journal of Philosophical Logic, 34, 333–362.
Rooth, M. (1985). Association with focus. Dissertation, University of Massachussetts.
Rullmann, H., Matthewson, L., & Davis, H. (2008). Modals as distributive indefinites. Natural Language Semantics, 20, 317–357.
Sag, I. (1976). Deletion and logical form. Dissertation, MIT.
Schein, B. (2003). Adverbial, descriptive reciprocals. In J. Hawthorne (Ed.), Philosophical perspectives 17 (pp 333–367).
Schein, B. (2016). Noughty bits. Linguistics and Philosophy, 39, 459–540.
Schlenker, P. (2004). Conditionals as definite descriptions. (A referential analysis). Research on Language and Computation, 2(3), 417–162.
Schubert, L., & Pelletier, F. (1989). Generically speaking, or, using discourse representation theory to interpret generics. In G. Chierchia, B. Partee, & R. Turner (Eds.), Properties, types and meaning. Vol II: Semantic issues (pp. 193–268). Dordrecht: Kluwer.
Sommers, F. (1982). The logic of natural language. Oxford: Oxford University Press.
Spector, B. (2007). Aspects of the pragmatics of plural morphology: On higher order implicatures. In U. Sauerland & P. Stateva (Eds.), Presupposition and implicature in compositional semantics. Basingstoke: Palgrave Macmillan.
Stalnaker, R. (1968). A theory of conditionals. In N. Rescher (Ed.), Studies in logical theory, volume 2: American philosophical quarterly monograph series (pp. 98–112). Oxford: Blackwell.
Stalnaker, R. (1975). Indicative conditionals. Philosophia, 5, 269–286.
Stalnaker, R. (1981). A defense of conditional excluded middle. In W. L. Harper, R. Stalnaker, & B. Pearce (Eds.), IFS: conditionals, belief, decision, chance, and time. Dordrecht: Reidel.
Szabolcsi, A., & Haddican, B. (2004). Conjunction meets negation: A study of cross-linguistic variation. Journal of Semantics, 21, 219–250.
van Craenenbroeck, J., & Merchant, J. (2013). Ellipsis phenomena. In M. den Dikken (Ed.), The Cambridge handbook of generative syntax (pp. 701–745). Cambridge: Cambridge University Press.
von Fintel, K. (1997). Bare plurals, bare conditionals, and only. Journal of Pragmatics, 14, 1–56.
von Fintel, K. (1998). Quantifiers and ‘if’-clauses. Philosophical Quarterly, 48, 209–214.
von Fintel, K. (1999). NPI licensing, Strawson entailment, and context dependency. Journal of Semantics, 16, 97–148.
von Fintel, L. (2001). Counterfactuals in a dynamic context. In M. Kenstowicz (Ed.), Ken Hale: A life in language (pp. 123–152). Cambridge: MIT Press.
von Fintel, K., & Iatridou, S. (2002). If and when ‘if’-clauses can restrict quantifiers. Ms. MIT.
Wallis, J. (1687). Institutio logicae. Oxford: Prostant abud J. Fletcher.
Williams, J. R. G. (2010). Defending conditional excluded middle. Nous, 44, 650–668.
Yanovic, I. (2016). Old English *motan, variable force modality, and the presupposition of inevitable actualization. Language, 93(3), 489–521.
Yoon, Y. (1994). Weak and strong interpretations of quantifiers and definite NPs in Englsih and Korean, Dissertation, University of Texas at Austin.
Acknowledgements
For very helpful questions and comments I would like to thank two anonymous reviewers for Linguistics and Philosophy, and also Sam Alxatib, Wayne Davis, Larry Horn, Paul Portner, Aynat Rubinstein, Barry Schein, and Benjamin Spector, who commented on an earlier version at aworkshop in honor of Martin Prinzhorn in Vienna in November 2017. Parts of this paper were also presented at the Conditionals at a Cross-Roads Workshop (University of Konstanz, November 2016), the New Research in Modality Workshop (Georgetown University, May 2016), at the 25th Semantics and Linguistic Theory Conference (Stanford, May 2015) and at the 19th Sinn und Bedeutung Conference (Göttingen University, September 2014). I am grateful to the audiences there for their insightful questions. All remaining mistakes are my own.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Herburger, E. Bare conditionals in the red. Linguist and Philos 42, 131–175 (2019). https://doi.org/10.1007/s10988-018-9242-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10988-018-9242-2