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Science Nominalized

Published online by Cambridge University Press:  01 April 2022

Terence Horgan
Terence Horgan*
Affiliation:
Department of Philosophy, Memphis State University
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Abstract

I propose a way of formulating scientific laws and magnitude attributions which eliminates ontological commitment to mathematical entities. I argue that science only requires quantitative sentences as thus formulated, and hence that we ought to deny the existence of sets and numbers. I argue that my approach cannot plausibly be extended to the concrete “theoretical” entities of science.

Type
Research Article
Information
Philosophy of Science , Volume 51 , Issue 4 , December 1984 , pp. 529 - 549
Copyright
Copyright © Philosophy of Science Association 1984

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Footnotes

†

I am grateful to Lawrence Lombard, Timothy McCarthy, John Post, Michael Tye, James Woodward, and an anonymous referee for their useful comments on earlier versions of this paper, and to Norman Gillespie, Nancy Simco, and James Woodward for helpful discussion.

References

Adams, Robert (1974), “Theories of Actuality”, Nous 8: 211–31.CrossRefGoogle Scholar
Creath, Richard (1980), “Nominalism by Theft”, American Philosophical Quarterly 17: 311–18.Google Scholar
Davidson, Donald (1965), “Theories of Meaning and Learnable Languages”, in Logic, Methodology, and Philosophy of Science, Bar-Hillel, J. (ed.). Amsterdam: North Holland.Google Scholar
Field, Hartry (1980), Science Without Numbers: A Defence of Nominalism. Princeton: Princeton University Press.Google Scholar
Goodman, Nelson (1947), “The Problem of Counterfactual Conditionals”, Journal of Philosophy 44: 113–28.10.2307/2019988CrossRefGoogle Scholar
Grice, H. P., and Strawson, P. F. (1956), “In Defense of a Dogma”, Philosophical Review 65: 141–58.CrossRefGoogle Scholar
Horgan, Terence (1978), “The Case Against Events”, Philosophical Review 87: 28–41.CrossRefGoogle Scholar
Horgan, Terence (1982), “Substitutivity and the Causal Connective”, Philosophical Studies 42: 47–52.10.1007/BF00372839CrossRefGoogle Scholar
Horgan, Terence (forthcoming), “A Nominalistic Theory of Truth”, International Logic Review.Google Scholar
Jubien, Michael (1981a), “Formal Semantics and the Existence of Sets”, Noûs 15: 165–76.CrossRefGoogle Scholar
Jubien, Michael (1981b), “Intensional Foundations of Mathematics”, Noûs 15: 513–27.CrossRefGoogle Scholar
Kessler, Glenn (1980), “Frege, Mill, and the Foundations of Arithmetic”, Journal of Philosophy 77: 65–79.CrossRefGoogle Scholar
Kim, Jaegwon (1981), “The Role of Perception in A Priori Knowledge: Some Remarks”, Philosophical Studies 40: 339–54.10.1007/BF00646421CrossRefGoogle Scholar
Kripke, Saul (1972), “Naming and Necessity”, in Semantics of Natural Language, Davidson, D. and Harman, G. (eds.). Dordrecht: D. Reidel.Google Scholar
Lewis, David (1973), Counterfactuals. Cambridge: Harvard University Press.Google Scholar
Maxwell, Grover (1962), “The Ontological Status of Theoretical Entities”, in Concepts, Theories, and the Mind-Body Problem, Feigl, H. and Maxwell, G. (eds.). Minnesota Studies in the Philosophy of Science, vol. 2. Minneapolis: University of Minnesota Press.Google Scholar
Mendelson, Elliott (1964), Introduction to Mathematical Logic. Princeton: D. Van Nostrand.Google Scholar
Mostowski, Andrezj (1939), “Über die Unabhängigkeit des Wohlordnungsatzes vom Ordnungsprinzip”, Fundamenta Mathematicae 32: 201–52.CrossRefGoogle Scholar
Plantinga, Alvin (1974), The Nature of Necessity. Oxford: Oxford University Press.Google Scholar
Putnam, Hilary (1971), The Philosophy of Logic. New York: Harper.Google Scholar
Quine, W. V. O. (1966a), “Ontological Reduction and the World of Numbers”, in The Ways of Paradox. New York: Random House.Google Scholar
Quine, W. V. O. (1966b), “The Scope and Language of Science”, in The Ways of Paradox. New York: Random House.Google Scholar
Quine, W. V. O. (1966c), “Three Grades of Modal Involvement”, in The Ways of Paradox. New York: Random House.Google Scholar
Stalnaker, Robert (1968), “A Theory of Conditionals”, in Studies in Logical Theory. Rescher, N. (ed.). Oxford: Blackwell. Noûs.Google Scholar
Stalnaker, Robert (1976), “Possible Worlds”, Noûs 10: 65–75.CrossRefGoogle Scholar