On some putative graph-theoretic counterexamples to the Principle of the Identity of Indiscernibles

Synthese 187 (2):661-672 (2012)
Abstract
Recently, several authors have claimed to have found graph-theoretic counterexamples to the Principle of the Identity of Indiscernibles. In this paper, I argue that their counterexamples presuppose a certain view of what unlabeled graphs are, and that this view is optional at best.
Keywords Identity of indiscernibles  Graph theory  Structuralism
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DOI 10.1007/s11229-010-9867-3
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Mathematics as a Science of Patterns.D. Resnik Michael - 1997 - New York ;Oxford University Press.
Are Quantum Particles Objects?Simon Saunders - 2006 - Analysis 66 (289):52–63.
Criteria of Identity and Structuralist Ontology.Hannes Leitgeb & James Ladyman - 2007 - Philosophia Mathematica 16 (3):388-396.

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