Mathematical structuralism and the Identity of Indiscernibles
Ladyman (James)
Source: Analysis 65.3, July 2005, pp. 218-221(4)
Paper - Abstract

Paper Summary


Author’s Abstract

  1. The article focuses on mathematical structuralism. Mathematical structuralism comes in various varieties and faces many problems.
  2. The article offers a solution to a particular problem that has been raised for non-eliminative structuralism about mathematical objects of the kind that has been defended by Stewart Shapiro. He calls his view ante rem structuralism and argues that mathematical objects exist, and are positions in structures, where the latter are universals1.
  3. According to Shapiro, mathematical knowledge fails to describe any intrinsic properties of mathematical objects, but it is nonetheless complete knowledge of its domain because the only properties mathematical objects possess are their structural or relational properties.

Text Colour Conventions (see disclaimer)

  1. Blue: Text by me; © Theo Todman, 2018
  2. Mauve: Text by correspondent(s) or other author(s); © the author(s)



© Theo Todman, June 2007 - June 2018. Please address any comments on this page to theo@theotodman.com. File output:
Website Maintenance Dashboard
Return to Top of this Page Return to Theo Todman's Philosophy Page Return to Theo Todman's Home Page