The Metaphysics of the Model-Theoretic Arguments

  • Kate HodesdonEmail author
Part of the Outstanding Contributions to Logic book series (OCTR, volume 9)


This paper presents a exposition of Putnam’s model theoretic arguments in the context of his broader philosophical position. I argue that Putnam used the arguments not just to undermine metaphysical realism, but to reveal that the philosophical debate between metaphysical realism and internal realism is dialectically problematic in that the metaphysical realist defence cannot “count against” (Putnam in Philosophical Topics: The philosophy of Hilary Putnam 20(1):355, 1992c) the converse position. Putnam’s response is that this is a debate that we should simply undercut.


  1. Bays, T. (2001). On Putnam and his models. The Journal of Philosophy, 98(7), 331–350.MathSciNetCrossRefGoogle Scholar
  2. Bays, T. (2008). Two arguments against realism. The Philosophical Quarterly, 58, 193–213.CrossRefGoogle Scholar
  3. Braddon-Mitchell, D., & Nola, R. (Eds.). (2009). Conceptual analysis and philosophical naturalism. Cambridge: MIT Press.Google Scholar
  4. Button, T. (2013). The limits of realism. Oxford: Oxford University Press.CrossRefGoogle Scholar
  5. Douven, I. (1999). Putnam’s model-theoretic argument reconstructed. Journal of Philosophy, 96(9), 479–490.MathSciNetCrossRefGoogle Scholar
  6. Gunderson, K. (Ed.). (1975). Language, Mind, and Knowledge. Minnesota Studies in the Philosophy of Science, Vol. VII. Minneapolis: University of Minnesota Press.Google Scholar
  7. Hale, B., & Wright, C. (1997). Putnam’s model-theoretic argument against metaphysical realism, pp. 427–457.Google Scholar
  8. Hodesdon, K. (2014). Mathematical representation: Playing a role. Philosophical Studies, 168(3), 769–782.MathSciNetCrossRefGoogle Scholar
  9. Hodesdon, K. (forthcoming). Structure, symmetry and semantic glue. Philosophy in an age of science: Themes from the philosophy of Hilary Putnam, Berger A. Oxford: Oxford University Press.Google Scholar
  10. Langton, R. (1998). Kantian humility. Oxford: Oxford University Press.Google Scholar
  11. Langton, R. (2004). Elusive knowledge of things in themselves. Australasian Journal of Philosophy, 82(1), 129–136.CrossRefGoogle Scholar
  12. Lewis, D. (2009). Ramseyan humility. See Braddon-Mitchell and Nola, pp. 203–223.CrossRefGoogle Scholar
  13. Lewis, D. K. (1984). Putnam’s paradox. Australasian Journal of Philosophy, 62(3), 221–236.CrossRefGoogle Scholar
  14. Pippin, R. (1982). Kant’s theory of form. An Essay on the Critique of Pure Reason, New Haven, London.Google Scholar
  15. Putnam, H. (1967). Mathematics without foundations. The Journal of Philosophy, 64(1), 5–22.CrossRefGoogle Scholar
  16. Putnam, H. (1975). The meaning of meaning. See Gunderson, pp. 131–193.Google Scholar
  17. Putnam, H. (1978). Meaning and the moral sciences. Boston: Routledge and Kegan Paul Ltd.Google Scholar
  18. Putnam, H. (1980). Models and reality. The Journal of Symbolic Logic, 45(3), 464–482.MathSciNetCrossRefGoogle Scholar
  19. Putnam, H. (1981). Reason, truth, and history. Cambridge: Cambridge University Press.Google Scholar
  20. Putnam, H. (1982). Why there isn’t a ready-made world. Synthese, 51(2), 141–167.CrossRefGoogle Scholar
  21. Putnam, H. (1983). Philosophical papers: Volume 3, realism and reason. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  22. Putnam, H. (1987). The many faces of realism: The Paul Carus lectures. La Salle: Open Court.Google Scholar
  23. Putnam, H. (1989). Model theory and the ‘factuality’ of semantics. See Putnam (1995b), pp. 351–375.Google Scholar
  24. Putnam, H. (1991). Representation and reality. Cambridge: MIT Press.Google Scholar
  25. Putnam, H. (1992a). Realism with a human face. Cambridge: Harvard University Press.Google Scholar
  26. Putnam, H. (1992b). Renewing philosophy. Cambridge: Harvard University Press.Google Scholar
  27. Putnam, H. (1992c). Replies. Philosophical Topics: The philosophy of Hilary Putnam, 20(1), 347–408.CrossRefGoogle Scholar
  28. Putnam, H. (1992d). Why is a philosopher? See Putnam (1992a), pp. 105–109.Google Scholar
  29. Putnam, H. (1993). Realism without absolutes. See Putnam (1995b), pp. 279–294.Google Scholar
  30. Putnam, H. (1995a). The question of realism. See Putnam (1995b), pp. 295–312.Google Scholar
  31. Putnam, H. (1995b). Words and life. Cambridge: Harvard University Press.Google Scholar
  32. Putnam, H. (1999). The Threefold cord: Mind, body and world, the John Dewey essays in philosophy. Irvington: Columbia University Press.Google Scholar
  33. Putnam, H. (2005). Ethics without ontology. Cambridge: Harvard University Press.Google Scholar
  34. Putnam, H. (2012). In M. Di Caro, & D. Macarthur (Eds.), Philosophy in an age of science. Cambridge: Harvard University Press.Google Scholar
  35. Quine, W. (1969). Ontological relativity and other essays. New York: Columbia University Press.Google Scholar

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of BristolBristolUK

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