Graph Theory and The Identity of Indiscernibles

Dialectica 70 (3):463-474 (2016)
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Abstract

The mathematical field of graph theory has recently been used to provide counterexamples to the Principle of the Identity of Indiscernibles. In response to this, it has been argued that appeal to relations between graphs allows the Principle to survive the counterexamples. In this paper, I aim to show why that proposal does not succeed.

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Callum Duguid
Nottingham University

References found in this work

The identity of indiscernibles.Max Black - 1952 - Mind 61 (242):153-164.
Physics and Leibniz's principles.Simon Saunders - 2003 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 289--307.
Criteria of identity and structuralist ontology.Hannes Leitgib & James Ladyman - 2008 - Philosophia Mathematica 16 (3):388-396.

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