-
17Logical Necessity Based on Carnap's Criterion of AdequacyKorean Journal of Logic 5 (2): 1-21. 2002.A semantics for logical necessity, based on Carnap's criterion of adequacy, is given with respect to the ontology of logical atomism. A calculus for sentential (propositional) modal logic is described and shown to be complete with respect to this semantics. The semantics is then modified in terms of a restricted notion of 'all possible worlds' in the interpretation of necessity and shown to yield a completeness theorem for the modal logic S5. Such a restricted notion introduces material content …Read more
-
27Essay ReviewHistory and Philosophy of Logic 10 (1): 77-83. 1989.L. E. HAHN and P. A. SCHILPP (eds.), The philosophy of W. V. Quine. La Salle, Illinois: Open Court, 1986. xvi + 705 pp. $35.95 cloth/$16.50 (paper)
-
6Review: R. A. Bull, An Approach to Tense Logic (review)Journal of Symbolic Logic 39 (1): 173-173. 1974.
-
103Infinity in ontology and mindAxiomathes 18 (1): 1-24. 2008.Two fundamental categories of any ontology are the category of objects and the category of universals. We discuss the question whether either of these categories can be infinite or not. In the category of objects, the subcategory of physical objects is examined within the context of different cosmological theories regarding the different kinds of fundamental objects in the universe. Abstract objects are discussed in terms of sets and the intensional objects of conceptual realism. The category of…Read more
-
25Two Lambda-extensions of the theory of homogeneous simple types as a second-order logicNotre Dame Journal of Formal Logic 26 (4): 377-407. 1985.
-
93Reference in Conceptual RealismSynthese 114 (2): 169-202. 1998.A conceptual theory of the referential and predicable concepts used in basic speech and mental acts is described in which singular and general, complex and simple, and pronominal and nonpronominal, referential concepts are given a uniform account. The theory includes an intensional realism in which the intensional contents of predicable and referential concepts are represented through nominalized forms of the predicate and quantifier phrases that stand for those concepts. A central part of the t…Read more
-
127Predication in Conceptual RealismAxiomathes 23 (2): 301-321. 2013.Conceptual realism begins with a conceptualist theory of the nexus of predication in our speech and mental acts, a theory that explains the unity of those acts in terms of their referential and predicable aspects. This theory also contains as an integral part an intensional realism based on predicate nominalization and a reflexive abstraction in which the intensional contents of our concepts are “object”-ified, and by which an analysis of predication with intensional verbs can be given. Through …Read more
-
28The Intentions of Intentionality and Other New Models for Modalities (review)Grazer Philosophische Studien 3 (1): 219-230. 1977.
-
52Meinong reconstructed versus early Russell reconstructedJournal of Philosophical Logic 11 (2). 1982.
-
66Reply to Gregory Landini’s Review of Formal Ontology and Conceptual RealismAxiomathes 19 (2): 143-153. 2009.
-
161Logic and OntologyAxiomathes 12 (1-2): 117-150. 2001.A brief review of the historicalrelation between logic and ontologyand of the opposition between the viewsof logic as language and logic as calculusis given. We argue that predication is morefundamental than membership and that differenttheories of predication are based on differenttheories of universals, the three most importantbeing nominalism, conceptualism, and realism.These theories can be formulated as formalontologies, each with its own logic, andcompared with one another in terms of thei…Read more
-
Formal ontologyIn Hans Burkhardt & Barry Smith (eds.), Handbook of metaphysics and ontology, Philosophia Verlag. pp. 640--647. 1991.
-
24Realism, Mathematics and Modality (review)International Studies in Philosophy 24 (3): 139-141. 1992.
-
23Fregean semantics for a realist ontologyNotre Dame Journal of Formal Logic 15 (4): 552-568. 1974.
-
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
-
Quantification, Time, and NecessityIn Karel Lambert (ed.), Philosophical applications of free logic, Oxford University Press. pp. 242--256. 1991.
-
Whither Russell's paradox of predication?In Milton Karl Munitz (ed.), Logic and ontology, New York University Press. pp. 133--158. 1973.
-
35Actualism versus Possibilism in Formal OntologyIn Roberto Poli & Johanna Seibt (eds.), Theory and Applications of Ontology: Philosophical Perspectives, Springer Verlag. pp. 105--117. 2010.
-
38On the logic of nominalized predicates and its philosophical interpretationsErkenntnis 13 (1). 1975.
-
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.
-
23The theory of homogeneous simple types as a second-order logicNotre Dame Journal of Formal Logic 20 (3): 505-524. 1979.
-
Indiana University, BloomingtonRetired faculty
Areas of Specialization
Metaphysics |
Philosophy of Language |
Logic and Philosophy of Logic |
Philosophy of Biology |
Philosophy of Mathematics |