Publication Cover
Inquiry
An Interdisciplinary Journal of Philosophy
Volume 62, 2019 - Issue 3
244
Views
3
CrossRef citations to date
0
Altmetric
Articles

Can mathematical objects be causally efficacious?

Pages 317-325 | Received 21 Jun 2017, Accepted 08 Nov 2017, Published online: 02 Feb 2018

References

  • Balaguer, M. 1996. “Towards a Nominalization of Quantum Mechanics.” Mind 105 (418): 209– 226.10.1093/mind/105.418.209
  • Balaguer, M. 1998. Platonism and Anti-platonism in Mathematics . Oxford: Oxford University Press.
  • Balaguer, M. 2001. “A Theory of Mathematical Correctness and Mathematical Truth.” Pacific Philosophical Quarterly 82 (2): 87–114.10.1111/papq.2001.82.issue-2
  • Balaguer, M. 2009. “Fictionalism, Theft, and the Story of Mathematics.” Philosophia Mathematica 17 (2): 131–162.10.1093/philmat/nkn019
  • Balaguer, M. 2014. “Platonism in Metaphysics.” In The Stanford Encyclopedia of Philosophy , edited by Edward N. Zalta . <http://plato.stanford.edu/archives/spr2014/entries/platonism/>.
  • Benacerraf, P. 1973. “Mathematical Truth.” The Journal of Philosophy 70 (19): 661–679.10.2307/2025075
  • Callard, B. 2007. “The Conceivability of Platonism.” Philosophia Mathematica 15 (3): 347–356.10.1093/philmat/nkm029
  • Frege, G. 1884. Die grundlagen der arithmetic: Eine logisch-mathematische untersuchung über den begriff der zahl . Breslau: Koebner.
  • Godel, K. 1947. “What is Cantor’s Continuum Problem?” The American Mathematical Monthly 54 (9): 515–525.10.2307/2304666
  • Leng, M. 2005a. “Revolutionary Fictionalism: A Call to Arms.” Philosophia Mathematica 13 (3): 277–293.10.1093/philmat/nki016
  • Leng, M. 2005b. “Mathematical Explanation.” In Mathematical Reasoning and Heuristics , edited by C. Cellucci , and D. Gillies . London: King’s College Publication.
  • Leng, M. 2010. Mathematics and Reality . Oxford: Oxford University Press.10.1093/acprof:oso/9780199280797.001.0001
  • Park, S. 2017a. “Two Criticisms Against Mathematical Realism.” Diametros 52: 96–106.
  • Park, S. 2017b. “In Defense of Mathematical Inferentialism.” Analysis and Metaphysics 16: 70–83.
  • Rosen, G. 2001. “Nominalism, Naturalism, Epistemic Relativism.” Noûs 35 (s15): 60–91.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.