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24Realism, Mathematics and Modality (review)International Studies in Philosophy 24 (3): 139-141. 1992.
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91Conceptual realism versus Quine on classes and higher-order logicSynthese 90 (3). 1992.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 intension…Read more
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Quantification, Time, and NecessityIn Karel Lambert (ed.), Philosophical applications of free logic, Oxford University Press. pp. 242--256. 1991.
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23Fregean semantics for a realist ontologyNotre Dame Journal of Formal Logic 15 (4): 552-568. 1974.
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39On the logic of nominalized predicates and its philosophical interpretationsErkenntnis 13 (1). 1975.
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Whither Russell's paradox of predication?In Milton Karl Munitz (ed.), Logic and ontology, New York University Press. pp. 133--158. 1973.
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36Actualism versus Possibilism in Formal OntologyIn Roberto Poli & Johanna Seibt (eds.), Theory and Applications of Ontology: Philosophical Perspectives, Springer Verlag. pp. 105--117. 2010.
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11Review: R. A. Bull, An Algebraic Study of Tense Logics with Linear Time; R. A. Bull, Note on a Paper in Tense Logic (review)Journal of Symbolic Logic 36 (1): 173-173. 1971.
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68Existence entailing attributes, modes of copulation and modes of being in second order logicNoûs 3 (1): 33-48. 1969.
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5Review: James E. Tomberlin, Existence Attributes: A Second Look (review)Journal of Symbolic Logic 40 (2): 253-254. 1975.
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23The theory of homogeneous simple types as a second-order logicNotre Dame Journal of Formal Logic 20 (3): 505-524. 1979.
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16Philosophical Perspectives on Formal Theories of PredicationIn Dov M. Gabbay & Franz Guenthner (eds.), Handbook of Philosophical Logic, Kluwer Academic Publishers. pp. 253--326. 1983.
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51A conceptualist interpretation of Lesniewski's ontologyHistory and Philosophy of Logic 22 (1): 29-43. 2001.A first-order formulation of Leśniewski's ontology is formulated and shown to be interpretable within a free first-order logic of identity extended to include nominal quantification over proper and common-name concepts. The latter theory is then shown to be interpretable in monadic second-order predicate logic, which shows that the first-order part of Leśniewski's ontology is decidable.
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29Conceptual realism and the nexus of predicationMetalogicon 16 (2): 45-70. 2003.The nexus of predication is accounted for in different ways in different theories of universals. We briefly review the account given in nominalism, logical realism , and natural realism. Our main goal is to describe the account given in a modern form of conceptualism extended to include a theory of intensional objects as the contents of our predicable and referential concepts
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15Nino B. Cocchiarella, Reviewed work: Realistic Rationalism by Jerrold J. Katz (review)Philosophy of Science 67 (2): 341-343. 2000.
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9The Intentions of Intentionality and Other New Models for Modalities (review)Grazer Philosophische Studien 3 (1): 219-230. 1977.
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35A Note on the Definition of Identity in Quine's New FoundationsZeitschrift fur mathematische Logik und Grundlagen der Mathematik 22 (1): 195-197. 1976.
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60Logical Investigations of Predication Theory and the Problem of UniversalsNoûs 25 (2): 221-230. 1991.
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25Frege, Russell and Logicism: a Logical ReconstructionIn Leila Haaparanta & Jaakko Hintikka (eds.), Frege Synthesized: Essays on the Philosophical and Foundational Work of Gottlob Frege, Kluwer Academic Publishers. pp. 197--252. 1986.
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46Review of Uwe Meixner, Modelling Metaphysics: The Metaphysics of a Model (review)Notre Dame Philosophical Reviews 2010 (5). 2010.
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153Denoting concepts, reference, and the logic of names, classes as many, groups, and pluralsLinguistics and Philosophy 28 (2). 2005.Bertrand Russell introduced several novel ideas in his 1903 Principles of Mathematics that he later gave up and never went back to in his subsequent work. Two of these are the related notions of denoting concepts and classes as many. In this paper we reconstruct each of these notions in the framework of conceptual realism and connect them through a logic of names that encompasses both proper and common names, and among the latter, complex as well as simple common names. Names, proper or common, …Read more
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8Review: David Randall Luce, A Calculus of `Before.' (review)Journal of Symbolic Logic 34 (4): 646-647. 1969.
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49Nominalism and conceptualism as predicative second-order theories of predicationNotre Dame Journal of Formal Logic 21 (3): 481-500. 1980.
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Indiana University, BloomingtonRetired faculty
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