Synthese 90 (3):379 - 436 (1992)
|Abstract||The problematic features of Quine's set theories NF and ML are a result of his replacing the higher-order predicate logic of type theory by a first-order logic of membership, and can be resolved by returning to a second-order logic of predication with nominalized predicates as abstract singular terms. We adopt a modified Fregean position called conceptual realism in which the concepts (unsaturated cognitive structures) that predicates stand for are distinguished from the extensions (or intensions) that their nominalizations denote as singular terms. We argue against Quine's view that predicate quantifiers can be given a referential interpretation only if the entities predicates stand for on such an interpretation are the same as the classes (assuming extensionality) that nominalized predicates denote as singular terms. Quine's alternative of giving predicate quantifiers only a substitutional interpretation is compared with a constructive version of conceptual realism, which with a logic of nominalized predicates is compared with Quine's description of conceptualism as a ramified theory of classes. We argue against Quine's implicit assumption that conceptualism cannot account for impredicative concept-formation and compare holistic conceptual realism with Quine's class Platonism.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Jan Dejnožka (2006). Observational Ecumenism, Holist Sectarianism. Philo 9 (2):165-191.
Paul C. Gilmore (2001). An Intensional Type Theory: Motivation and Cut-Elimination. Journal of Symbolic Logic 66 (1):383-400.
Peter Hylton (2007). Quine. Routledge.
Matthew McKeon (2004). On the Substitutional Characterization of First-Order Logical Truth. History and Philosophy of Logic 25 (3):205-224.
Nino Cocchiarella (1976). On the Logic of Natural Kinds. Philosophy of Science 43 (2):202-222.
Nino B. Cocchiarella (1998). Reference in Conceptual Realism. Synthese 114 (2):169-202.
Nino B. Cocchiarella (2005). Denoting Concepts, Reference, and the Logic of Names, Classes as Many, Groups, and Plurals? Linguistics and Philosophy 28 (2):135 - 179.
Srećko Kovač (1999). Quine's Platonism and Antiplatonism. Synthesis Philosophica 14 (1999):45-52.
Added to index2009-01-28
Total downloads23 ( #53,914 of 549,196 )
Recent downloads (6 months)1 ( #63,397 of 549,196 )
How can I increase my downloads?