Realistic structuralism ’ s identity crisis : A hybrid solution

@inproceedings{Button2009RealisticS,
  title={Realistic structuralism ’ s identity crisis : A hybrid solution},
  author={Tim Button},
  year={2009}
}
Keränen (2001) raises an argument against realistic (ante rem) structuralism: where a mathematical structure has a non-trivial automorphism, distinct indiscernible positions within the structure cannot be shown to be non-identical using only the properties and relations of that structure. Ladyman (2005) responds by allowing our identity criterion to include ‘irreflexive two-place relations’. I note that this does not solve the problem for structures with indistinguishable positions, i.e… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-7 OF 7 REFERENCES

Mathematical structuralism and the Identity of Indiscernibles

  • Ladyman, James
  • Analysis
  • 2005

Structuralism and metaphysics

  • Parsons, Charles
  • Philosophical Quarterly ,
  • 2004

The identity problem for realist structuralism

  • Keränen, Jukka
  • Philosophia Mathematica,
  • 2001

Review of Shapiro 1997

  • J Burgess
  • Notre Dame Journal of Formal Logic,
  • 1999
2 Excerpts

Philosophy of Mathematics: Structure and Ontology

  • Shapiro, Stewart
  • 1997

‘ The governance of identity ’

  • Stewart Shapiro
  • Philosophy of Mathematics : Structure and…
  • 1997
1 Excerpt

The identity of indiscernibles

  • Black, Max
  • Mind ,
  • 1952

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