Bibliography
Alexiadou, A. (2017). Deriving color adjectival nominalizations. Lingustica: Revista de Estudos Lingusticos da Universidade do Porto, 8:143–158.
Balcerak-Jackson, B. (2013). Defusing easy arguments for numbers. Linguistics and Philosophy, 36:447–461.
Barker, C. (1998). Partitives, double genitives and anti-uniqueness. Natural Language and Linguistic Theory, 4:679–717.
Barwise, J. and Cooper, R. (1981). Generalized quantifiers and natural language. Linguistics and Philosophy, 1:413–458.
Benacerraf, P. (1965). What numbers could not be. The Philosophical Review, 74(1):47–73.
Benacerraf, P. (1973). Mathematical truth. Journal of Philosophy, 70(19):661–679.
Boolos, G. (1985). Nominalist platonism. The Philosophical Review, 94(3):327–344.
Breheny, R. (2008). A new look at the semantics and pragmatics of numerically quantified noun phrases. Journal of Semantics, 25(2):93–139.
Brogaard, B. (2007). Number words and ontological commitment. Philosophical Quarterly, 57:1–20.
Burgess, J. P. and Rosen, G. (1997). A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics. Oxford University Press.
Bylinina, L., Ivlieva, N., Podobryeav, A., and Sudo, Y. (2014). A non-superlative semantics for ordinals and the semantics of comparison classes. Ms.
Carrara, M., Arapinis, A., and Moltmann, F. (2016). Unity & Plurality: Logic, Philosophy, and Linguistics. Oxford University Press.
Chierchia, G. (1984). Topics in the Syntax and Semantics of Infinitives and Gerunds. PhD thesis, University of Massachusetts at Amherst.
Chierchia, G. (1998). Reference to kinds across languages. Natural Language Semantics, 6:339–405.
Chihara, C. S. (1990). Constructibility and Mathematical Existence. Oxford University Press.
Chihara, C. S. (2004). A Structural Account of Mathematics. Clarendon Press.
Dummett, M. (1973). The Justification of Deduction. Oxford University Press.
Dummett, M. (1991). Frege: Philosophy of Mathematics. Duckworth.
Felka, K. (2014). Number words and reference to numbers. Philosophical Studies, 168:261–268.
Field, H. (1980). Science Without Numbers. Princeton University Press.
Frana, I. (2006). The de re analysis of concealed questions: A unified approach to definite and indefinite concealed questions. In Gibson, M. and Howell, J., eds., Proceedings of SALT 16.
Frege, G. (1884). Grundlagen der Arithmetik.
Frege, G. (1903). Grundgesetze der Arithmetik II. Olms.
Frege, G. (1951). On concept and object. Mind, 60(238):168–180.
Geurts, B. (2006). Take ‘five’. In Vogleer, S. and Tasmowski, L., eds., Non-Definiteness and Plurality, pages 311–329. Benjamins.
Greenberg, B. (1977). A semantic account of relative clauses with embedded question interpretations. Ms., University of California, Los Angeles.
Hale, B. (1987). Abstract Objects. Basil Blackwell.
Hale, B. (1994). Singular terms. In The Philosophy of Michael Dummett, pages 17–44. Springer.
Hale, B. (2016). Definitions of numbers and their applications. In Ebert, P. and Rossberg, M., eds., Abstractionism. Oxford University Press.
Hale, B. and Wright, C. (2001). The Reason’s Proper Study: Towards a Neo-Fregean Philosophy of Mathematics. Oxford University Press.
Heck, R. (2011). Frege’s Theorem. Clarendon Press.
Heim, I. (1979). Concealed questions. In Bauerle, R., Egli, U., and von Stechow, A., eds., Semantics from Different Points of View, pages 51–60. Springer.
Hellman, G. (1989). Mathematics without numbers: Towards a modal-structural interpretation. Clarendon Press.
Hellman, G. (1998). Maoist mathematics? Philosophia Mathematica, 6(3):334–345.
Higgins, R. (1973). The Pseudo-cleft Construction in English. Garland.
Hodes, H. (1984). Logicism and the ontological commitments of arithmetic. The Journal of Philosophy, 81:123–149.
Hofweber, T. (2005). Number determiners, numbers, and arithmetic. The Philosophical Review, 114:179–225.
Hofweber, T. (2007). Innocent statements and their metaphysically loaded counterparts. Philosopher’s Imprint, 7:1–33.
Hofweber, T. (2014). Extraction, displacement, and focus. Linguistics and Philosophy, 37(3):263–267.
Hofweber, T. (2016). Ontology and the Ambitions of Metaphysics. Oxford University Press.
Horn, L. (1972). On the Semantic Properties of Logical Operators. PhD thesis, University of California, Los Angeles.
Kennedy, C. (2012). Adjectives. In Russell, G. and Graff-Fara, D., eds., Routledge Companion to the Philosophy of Language. Routledge.
Kennedy, C. (2015). A “de-Fregean” semantics (and neo-Gricean pragmatics) for modified and unmodified numerals. Semantics and Pragmatics, 8(10):1–44.
Kennedy, C. and McNally, L. (2005). Scale structure, degree modification, and the semantics of gradable predicates. Language, 81:345–381.
Kennedy, C. and McNally, L. (2010). Color, context, and compositionality. Synthese, 174(1):79–98.
Krifka, M. (1989). Nominal reference, temporal constitution, and quantification in event semantics. In von Bentham, J., Bartsch, R., and von Emde Boas, P., eds., Semantics and Contextual Expressions. Foris.
Krifka, M. (1990). Boolean and non-boolean and. In Kalman, L. and Polos, L., eds., Papers from the Second Symposium on Logic and Language. Akademmiai Kiado.
Krifka, M., Pelletier, F., Carlson, G., ter Meulen, A., and Link, J. (1995). Genericity: An introduction. In Carlson, G. and Pelletier, F., eds., The Generic Book, The University of Chicago Press, Chicago, pages 1–124.
Landman, F. (2003). Predicate-argument mismatches and the adjectival thoery of indefinites. In Coene, M. and D’hulst, Y., eds., NP to DP. John Benjamins.
Landman, F. (2004). Indefinites and the Type of Sets. Blackwell.
Leng, M. (2005). Revolutionary fictionalism: A call to arms. Philosophia Mathematica, 13(3):277–293.
Lewis, D. (1986). On the plurality of worlds, volume 322. Oxford Blackwell.
Link, G. (1983). The logical analysis of plurals and mass terms: A lattice-theoretic approach. In Bäuerle, R., Schwarze, C., and von Stechow, A., eds., Meaning, Use, and Interpretation of Langauge, pages 303–323.
Link, G. (1998). Algebraic Semantics in Language and Philosophy. SCLI Publications.
Linnebo, Ø. (2009). The individuation of the natural numbers. In Bueno, O. and Linnebo, Ø., eds., New Waves in Philosophy of Mathematics, pages 220–238. Palgrave-MacMillan.
McNally, L. and de Swart, H. (2011). Inflection and derivation: How adjectives and nouns refer to abstract objects. In Proceedings of the 18th Amsterdam Colloquium, pages 425–434.
Mikkelsen, L. (2005). Copular Clauses: Specification, Predication, and Equation. Benjamins.
Mikkelsen, L. (2011). Copular clauses. In von Heusinger, K., Maienborn, C., and Portner, P., eds., Semantics: An International Handbook of Natural Language Meaning. de Gruyter.
Moltmann, F. (2008). Intensional verbs and their intentional objects. Natural Language Semantics, 16(3):239–270.
Moltmann, F. (2013a). Abstract objects and the semantics of natural language. Oxford University Press.
Moltmann, F. (2013b). Reference to numbers in natural language. Philosophical Studies, 162:499–536.
Moltmann, F. (2016). Plural reference and reference to a plurality. In Carrara, A. A. and Moltmann, F., eds., Unity & Plurality: Logic, Philosophy, and Linguistics. Oxford University Press.
Moltmann, F. (2017). Number words as number names. Linguistics and Philosophy, 40:331–345.
Nathan, L. (2006). On the Interpretation of Concealed Questions. PhD thesis, Massachussets Institute of Technology.
Nutting, E. S. (2018). Ontological realism and sentential form. Synthese, 195(11):5021–5036.
Oliver, A. and Smiley, T. (2013). Plural Logic: Revised and Enlarged. OUP Oxford.
Partee, B. (1986a). Ambiguous pseudoclefts with unambiguous be. In Bergman, S., Choe, J., and McDonough, J., eds., Proceedings of the Northwestern Linguistics Society 16. GLSA.
Partee, B. (1986b). Noun phrase interpretation and type-shifting principles. In Groenendijk, J., de Jongh, D., and Stokhof, M., eds., Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers. Foris.
Partee, B. (2004). Compositionality in Formal Semantics. Blackwell Publishing.
Partee, B. and Borschev, V. (2012). Sortal, relational, and functional interpretations of nouns and russian container constructions. Journal of Semantics, 29:445–486.
Partee, B. and Rooth, M. (1983). Generalized conjunction and type ambiguity. In Bauerle, R., Schwarze, C., and von Stechow, A., eds., Meaning, Use, and Interpretation of Language, pages 361–383. De Gruyter.
Partee, B. H. (1992). semantic type. Computational linguistics and formal semantics, page 97.
Rett, J. (2008). Degree Modification in Natural Language. PhD thesis, Rutgers University.
Romero, M. (2005). Concealed questions and specificational subjects. Linguistics and Philosophy, 28(6):687–737.
Rothstein, S. (2010). Counting, measuring and the semantics of classifiers. Baltic International Handbook of Cognition, Logic and Communication, 6.
Rothstein, S. (2013). A Fregean semantics for number words. In Proceedings of the 19th Amsterdam Colloquium, pages 179–186. Universiteit van Amsterdam, Amsterdam.
Rothstein, S. (2016). Counting and measuring: a theoretical and crosslinguistic account. Baltic International Yearbook of Cognition, Logic and Communication, 11(1):8.
Rothstein, S. (2017). Semantics for Counting and Measuring. Cambridge University Press.
Schiffer, S. R. (2003). The Things We Mean. Oxford University Press.
Schlenker, P. (2003). Clausal equations. Natural Language and Linguistic Theory, 21:157–214.
Schwartzkopff, R. (2016). Singular terms revisited. Synthese, 193(3):909–936.
Schwarzschild, R. (2005). Measure phrases as modifiers of adjectives. Recherches Linguistiques de Vincennes, 34:207–228.
Scontras, G. (2014). The Semantics of Measurement. PhD thesis, Harvard University.
Shapiro, S. (1997). Philosophy of Mathematics: Structure and Ontology. Oxford University Press.
Shapiro, S., Snyder, E., and Samuels, R. (ms.). What’s wrong with Hofweber’s nominalism.
Sharvy, R. (1980). A more general theory of definite descriptions. The Philosophical Review, 89:607–624.
Snyder, E. (2017). Numbers and cardinalities: What’s really wrong with the easy argument? Linguistics and Philosophy, 40:373–400.
Snyder, E. (2020). Counting, measuring, and the fractional cardinalities puzzle. Linguistics and Philosophy.
Snyder, E. and Barlew, J. (2016). The universal measurer. In Proceedings of Sinn und Bedeutung 20.
Snyder, E. and Barlew, J. (2019). How to count oranges. Australasian Journal of Philosophy.
Snyder, E., Samuels, R., and Shapiro, S. (2018a). Neologicism, Frege’s Constraint, and the Frege-Heck condition. Noûs.
Snyder, E., Samuels, R., and Shapiro, S. (ms.). Hofweber’s nominalist naturalism.
Snyder, E., Samuels, R., and Shaprio, S. (2019). Hale’s argument from transitive counting. Synthese, pages 1–29.
Snyder, E. and Shapiro, S. (2016). Frege on the reals. In Ebert, P. and Rossberg, M., eds., Essays on Frege’s Basic Laws of Arithmetic. Oxford University Press.
Snyder, E. and Shapiro, S. (2020). Mereological singularims and paradox. Erkenntnis.
Snyder, E., Shapiro, S., and Samuels, R. (2018b). Cardinals, ordinals, and the prospects for a Fregean foundations. In Royal Institute of Philosophy Supplements: RIP Metaphysics. Cambridge University Press.
Wright, C. (1983). Frege’s Conception of Numbers as Objects. Aberdeen University Press.
Wright, C. (2000). Neo-Fregean foundations for real analysis: Some reflections on Frege’s constraint. Notre Dame Journal of Formal Logic, 41:317–334.
Wright, C. et al. (1999). Is Hume’s principle analytic? Notre Dame Journal of Formal Logic, 40(1):6–30.