Is Mathematics the Theory of Instantiated Structural Universals?

Transylvanian Review 22:132-142 (2013)
  Copy   BIBTEX

Abstract

This paper rejects metaphysical realism about structural universals as a basis for mathematical realism about numbers, and argues that one construal of structural universals via non-well-founded sets should be resisted by the mathematical realist.

Categories

Keywords

Reprint years

Other Versions

No versions found

Links

PhilArchive

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Structural universals and the principle of uniqueness of composition.Javier Kalhat - 2008 - Grazer Philosophische Studien 76 (1):57-77.
Numbers.Penelope Maddy - 1990 - In Realism in mathematics. New York: Oxford University Prress.
Structural Universals as Structural Parts: Toward a General Theory of Parthood and Composition.Thomas Mormann - 2010 - Axiomathes 20 (2-3):229 - 253.
The mereology of structural universals.Peter Forrest - 2016 - Logic and Logical Philosophy 25 (3):259-283.
Structural Realism & the Metaphysics of Natural Kinds.Emma Tobin - unknown
The possibility of onion worlds: Rebutting an argument for structural universals.J. Robert G. Williams - 2007 - Australasian Journal of Philosophy 85 (2):193 – 203.
Musical Works as Structural Universals.A. R. J. Fisher - 2021 - Erkenntnis 88 (3):1245-67.
ARMSTRONG, D. M. A Theory of Universals: Vol. II, Universals and Scientific Realism. [REVIEW]Michael Woods - 1982 - Philosophy 57:408.
The Reality of Numbers. [REVIEW]Stephen Pollard - 1990 - Review of Metaphysics 43 (4):854-854.
Structure-making.Kris McDaniel - 2009 - Australasian Journal of Philosophy 87 (2):251-274.

Analytics

Added to PP
2016-11-04

Downloads
104 (#203,486)

6 months
104 (#58,593)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

Universals and scientific realism.David Malet Armstrong - 1978 - New York: Cambridge University Press.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford, England: Oxford University Press.
Mathematics as a science of patterns.Michael David Resnik - 1997 - New York ;: Oxford University Press.
Against structural universals.David K. Lewis - 1986 - Australasian Journal of Philosophy 64 (1):25 – 46.
Universals and Scientific Realism.Laurence Goldstein - 1979 - Philosophical Quarterly 29 (117):360-362.

View all 13 references / Add more references