Equating categorially names and quantifiers within first-order logic

Jacek Paśniczek

DOI: http://dx.doi.org/10.12775/LLP.2002.007

Abstract


Grammarians traditionally consider quantifier expressions such as something, everything, somebody, everybody, some dog, every dog together with names (singular name expression) as belonging to the noun phrases category. The reason is simple: both quantifier expressions and names can be used as subjects in sentences. Logicians on the other hand, usually treat quantifier expression (in short: quantifiers) as operators, i.e. as expressions of a different category from the name category. The source of this distinction seems clear: names are categorametic, whereas operators are syncategorsmetic expressions. However, when we are trying to explain the opposition categorametic-syncategorametic we usually give names and quantifiers as paradigmatic examples respectively.

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References


Barwise, Jon, and Cooper, Richard [1981], “Generalized Quantifiers and natural language”, Linguistics and Philosophy, Vol. 4.

Bealer, George [1982], Quality and Concept, Oxford University Press.

Bencivenga, Ernanno [1986], “Free Logics”, in: D. Gabbay, and F. Guenthner, Handbook of Philosophical Logic, Dordrecht: D. Reidel Publishing Company, Vol. 3.

Chierchia, Gennaro and McConnell-Ginet, Sally [1990], Meaning and Grammar. An Introduction to Semantics, MIT Press, Cambridge, Massachusetts, London, England.

Cocchiarella, Nino [1986], “Frege, Russell and Logicism: a Logical Reconstruction” in: Frege Synthesized, L. Haarparanta and J. Hintikka (eds.), Dordrecht: Reidel.

Dowty, R.D., Wall, R.E., and Peters, S. [1981], Introduction to Montague Semantics, Dordrecht, Boston, London: Reidel.

Ebbinghaus, H.D., Flum, J., Thomas, W. Mathematical Logic [second edition 1994], Springer Verlag.

Jacquette, Dale [1996], Meinongian Logic: The Semantics of Existence and Nonexistence, Berlin, New York: Walter de Gruyter & Co.

Menzel, Christopher [1986], “A complete, type-free, second order logic and its philosophical foundations”, technical report #CSLI-86-40, CSLI, Stanford University.

Montague, Richard [1974], “Pragmatics”, in: R. Thomason, (ed.), Formal Philosophy: Selected Papers of Richard Montague, Yale University Press, New Have & London.

Mostowski, Andrzej [1957], “On generalization of quantifiers”, Fundamenta Mathematicæ, Vol. 44.

Parsons, Terence [1998], Nonexistent Objects, Yale University Press, New Haven & London.

Paśniczek, Jacek [1998], The Logic of Intensional Objects. A Meinongian version of Classical Logic, Kluwer Academic Publishers, Dordrecht/Boston/London.

Quine, Williard. V. [1963], Set Theory and Its Logic, Harvard University Press.

Routley, Richard [1980], Exploring Meinong’s Jungle and Beyond, Department Monograph #3, University Canberra.

Sher, Gila [1991], The Bounds of Logic. A Generalized Viewpoint, MIT Press, Cambridge, Massachusetts, London.

Westerstähl, Dag [1989], “Quantifiers in Formal and Natural languages”, in Gabbay and Guenthner, Vol. IV, [1989].

Zalta, Edward [1983], Abstracts Objects: An Introduction to Axiomatic Metaphysics, D. Reidel, Dordrecht.

Zalta, Edward [1988], Intensional Logic and the Metaphysics of Intesionality, MIT Press, Cambridge, Massachusetts, London.




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ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

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