Abstract
Adding branching quantification to a first-order language increases the expressive power of the language,without adding to its ontology. The present paper is a defense of this claim against Quine (1970) and Patton (1991).
Similar content being viewed by others
References
Barwise, J.: 1979, ‘On Branching Quantifiers in English’,Journal of Philosophical Logic 8, 47–80.
Hand, M.: 1988, ‘How Game-Theoretical Semantics Works: Classical First-Order Logic’,Erkenntnis 29, 77–93.
Hintikka, J.: 1979, ‘Quantifiers vs. Quantification Theory’, in E. Saarinen (ed.),Game-Theoretical Semantics, D. Reidel, Dordrecht, pp. 49–79.
Humberstone, I. L.: 1987, ‘Critical Notice of Jaakko Hintikka,The Game of Language’,Mind XCVI, 99–107.
Owen, G.: 1982,Game Theory, 2nd ed., Academic Press, New York.
Patton, T. E.: 1989, ‘On Humberstone's Semantics for Branching Quantifiers’,Mind XCVIII, 229–34.
Patton, T. E.: 1991, ‘On the Ontology of Branching Quantifiers’,Journal of Philosophical Logic 20, 205–23.
Quine, W. V. O.: 1970,Philosophy of Logic, Prentice-Hall, Englewood Cliffs.
Walkoe, W. J., Jr.: 1970, ‘Finite Partially-Ordered Quantification’,Journal of Symbolic Logic 35, 535–55.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hand, M. A defense of branching quantification. Synthese 95, 419–432 (1993). https://doi.org/10.1007/BF01063880
Issue Date:
DOI: https://doi.org/10.1007/BF01063880