Skip to main content
SpringerLink
Log in

A Guide for the Perplexed: What Mathematicians Need to Know to Understand Philosophers of Mathematics

  • Viewpoint
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Balaguer, M. (1998), Platonism and Anti-Platonism in Mathematics, Oxford: Oxford University Press.

  • Benacerraf, P. (1973), ‘‘Mathematical Truth,’’ reprinted in Benacerraf, P., and Putnam, H. (1983), pp. 403–420.

  • Benacerraf, P., and Putnam, H. (eds.) (1983), Philosophy of Mathematics, Cambridge: Cambridge University Press.

  • Brouwer, L. E. J. (1912), ‘‘Intuitionism and Formalism,’’ reprinted in Benacerraf, P., and Putnam, H. (1983), pp. 77–89.

  • Brouwer, L. E. J. (1948), ‘‘Consciousness, Philosophy, and Mathematics,’’ reprinted in Benacerraf, P., and Putnam, H. (1983), pp. 90–96.

  • Field, H. (1980), Science Without Numbers, Princeton: Princeton University Press.

  • Frege, G. (1884), Die Grundlagen der Arithmetik. Translated by Austin, J. L. (1953), as The Foundations of Arithmetic, Oxford: Basil Blackwell.

  • Gödel, K. (1964), ‘‘What is Cantor’s Continuum Problem?’’ reprinted in Benacerraf, P., and Putnam, H. (1983), pp. 470–485.

  • Heyting, A. (1956), Intuitionism, Amsterdam: North-Holland.

  • Leng, M. (2010), Mathematics and Reality, Oxford: Oxford University Press.

  • Mill, J. S. (1843), A System of Logic, London: Longmans, Green, and Company.

  • Plato, The Meno and the Phaedo. Both translated by Grube, G. M. A. (1981), in Five Dialogues, Indianapolis: Hackett Publishing.

  • Rosen, G. (2001), ‘‘Nominalism, Naturalism, Epistemic Relativism,’’ in Philosophical Topics XV (Metaphysics), Tomberlin, J. (ed.), pp. 60–91.

  • Russell, B. (1912), The Problems of Philosophy. Reprinted (1959), Oxford: Oxford University Press.

  • Yablo, S. (2002), ‘‘Go Figure: A Path Through Fictionalism,’’ Midwest Studies in Philosophy 25: 72–102.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Philosophy, California State University Los Angeles, Los Angeles, CA, 90032, USA

    Mark Balaguer

Authors
  1. Mark Balaguer
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mark Balaguer.

Additional information

The Viewpoint column offers readers of The Mathematical Intelligencer the opportunity to write about any issue of interest to the international mathematical community. Disagreement and controversy are welcome. The views and opinions expressed here, however, are exclusively those of the author, and the publisher and editors-in-chief do not endorse them or accept responsibility for them. Viewpoints should be uploaded to Editorial Manager or sent directly to the editor-in-chief, Marjorie Senechal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balaguer, M. A Guide for the Perplexed: What Mathematicians Need to Know to Understand Philosophers of Mathematics. Math Intelligencer 36, 3–8 (2014). https://doi.org/10.1007/s00283-013-9406-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00283-013-9406-4

Keywords

Search

Navigation