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What is Structuralism?

  • Michael D. Resnik
Chapter
  • 137 Downloads
Part of the Synthese Library book series (SYLI, volume 236)

Abstract

This paper concerns structuralism as a philosophy of mathematics. Because I must be brief, I will confine myself to raising questions and sketching some tentative answers.

Keywords

Mathematical Theory Mathematical Object Category Theory Inclusive Structure Plural Quantifier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Benacerraf, Paul 1965: “What Numbers Could Not Be”, Philosophical Review, 74, pp. 47–73.CrossRefGoogle Scholar
  2. Benacerraf, Paul 1973: “Mathematical Truth”, Journal of Philosophy 70, pp. 661–80CrossRefGoogle Scholar
  3. Boolos, George 1984: “To Be Is To Be A Value Of A Variable (Or To Be Some Values Of Some Variables)”, Journal of Philosophy, 81, pp. 430–449.CrossRefGoogle Scholar
  4. Hellman, Geoffrey 1989: Mathematics without Numbers: Towards a Modal-Structuralist Interpretation, Oxford: Clarendon Press.Google Scholar
  5. Maddy, Penelope 1990: Realism in Mathematics, Oxford: Clarendon Press.Google Scholar
  6. Resnik, Michael D. 1981: “Mathematics as a Science of Patterns: Ontology and Reference”, Nous 15, pp. 529–50.CrossRefGoogle Scholar
  7. Resnik, Michael D. 1988: “Second-Order Logic Still Wild!”, Journal of Philosophy, 85, pp. 75–87.CrossRefGoogle Scholar
  8. Resnik, Michael D. 1992, “A Structuralist’s Involvement with Modality”, Mind, 101, pp. 107–122.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Michael D. Resnik
    • 1
  1. 1.University of North CarolinaUSA

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