Abstract
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 theirrespective explanatory powers. After a briefsurvey of such a comparison, we argue that anextended form of conceptual realism provides themost coherent formal ontology and, as such, canbe used to defend the view of logic as language.
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REFERENCES
Addison, J.W., L. Henkin andA. Tarski: 1965, The Theory of Models, Amsterdam: North-Holland.
Bochenski, I. M.: 1961, A History of Formal Logic, Notre Dame: University of Notre Dame Press.
Bochenski, I. M.: 1974, ‘Logic and Ontology’, Philosophy East and West 24, 275–292.
Carnap, R.: 1937, The Logical Syntax of Language, London: Routledge & Kegan Paul, reprinted in 1951.
Chierchia, G.: 1984, Topics in the Syntax and Semantics of Infinitives and Gerunds, Ph.D. dissertation, Amherst: University of Massachusetts.
Chierchia, G.: 1985, ‘Formal Semantics and the Grammar of Predication’, Linguistic Inquiry 16, 417–443.
Cocchiarella, N. B.: 1987, Logical Studies in Early Analytic Philosophy, Columbus: Ohio State University Press.
Cocchiarella, N. B.: 1988, ‘Predication Versus Membership in the Distinction between Logic as Language and Logic as Calculus’, Synthese 77, 37–72.
Cocchiarella, N. B.: 1989a, ‘Philosophical Perspectives of Formal Theories of Predication’, in D. Gabbay andF. Guenthner (eds.), Handbook of Philosophical Logic, Vol. IV, Dordrecht: D. Reidel, pp. 253–326.
Cocchiarella, N. B.: 1989b, ‘Conceptualism, Realism, and Intensional Logic’, Topoi 8, 15–34.
Cocchiarella, N. B.: 1992, ‘Conceptual RealismVersus Quine on Classes and Higher-Order Logic’, Synthese 90, 379–436.
Cocchiarella, N. B.: 1995, ‘Knowledge Representation in Conceptual Realism’, International Journal of Human-Computer Studies 43, 697–721.
Cocchiarella, N. B.: 1996, ‘Conceptual Realism as a Formal Ontology’, in R. Poli andP. Sirnor (eds.), Formal Ontology, Dordrecht: Kluwer Academic Press.
Cocchiarella, N. B.: 1997, ‘Reference in Conceptual Realism’, Synthese 114, 169–202.
Cohen, J. 1954, ‘On the Project of a Universal Character’, Mind 63, 49–63.
Frege, G.: 1893, Die Grundgesetze der Arithmetik, Vol. 1, Jena: Verlag Hermann Pohle, Vols. 1 and 2 reprinted, (Hildesheim: Georg Olms Verlagsbuchhandlung, 1962).
Frege, G.: 1879, ‘Begriffsschrift, A Formula Language, Modeled upon that of Arithmetic, for Pure Thought’, in J. van Heijenoort (ed.), From Frege to Gödel, Cambridge: Harvard University Press, 1967.
Frege, G.: 1972, in T. W. Bynum (ed., and trans.), Conceptual Notation and Related Articles, Oxford: Oxford University Press.
Frege, G.: 1979, Posthumous Writings, in H. Hermes,F. KambartelF. Kaulbach (eds.), Chicago: Chicago University Press.
Geach, P.: 1980, Reference and Generality, 3rd edn, Ithaca: Cornell University Press.
Geach, P. and M. Black (eds.): 1952, Translations From the Philosophical Writings of Gottlob Frege, Oxford: Blackwell.
Goodman, N.: 1956, ‘A World of Individuals’, in I. M. Bochenski,N. Goodman andA. Church (eds.), The Problem of Universals, Notre Dame: University of Notre Dame Press, pp. 15–31.
Goodman, N.: 1951, The Structure of Appcarance, Cambridge: Harvard University Press.
Goodman, N. and W. V. O. Quine: 1947, ‘Steps Toward a Constructive Nominalism’, Journal of Symbolic Logic 12, 105–122.
Hintikka, J.: 1988, ‘On the Development of the Model-Theoretic Tradition in Logical Theory’, Synthese 77, 1–36.
Kung, G.: 1967, Ontology and the Logistic Analysis of Language, Dordrecht: D. Reidel.
Lorenz, K.: 1962, ‘Kant's Doctrine of the A Priori in the Light of Contemporary Biology’, in L. von Bertalanffy andA. Rappaport (eds.), General Systems, Yearbook of the Society for General Systems Research, Vol. VII, pp. 23–35.
Montague, R. M.: 1974, in R. Thomason (ed.), Formal Philosophy, New Haven: Yale University Press.
Piaget, J. P.: 1972, The Principles of Genetic Epistemology, New York: Routledge and Kegan Paul.
Quine, W. V. O.: 1963, Set Theory and its Logic, Cambridge: Harvard University Press.
Russell, B.P 1938, The Principles of Mathematics, 2nd edn., with a new intro. New York: Norto & Co.
van Heijenoort, J.: 1967, ‘Logic as Language aud Logic as Calculus’, Synthese 17, 324–330.
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Cocchiarella, N.B. Logic and Ontology. Axiomathes 12, 117–150 (2001). https://doi.org/10.1023/A:1012758003706
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DOI: https://doi.org/10.1023/A:1012758003706