The proper treatment of identity in dialetheic metaphysics

The Philosophical Quarterly 70 (278):65-92 (2020)
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Abstract

According to one prominent strand of mainstream logic and metaphysics, identity is indistinguishability. Priest has recently argued that this permits counterexamples to the transitivity and substitutivity of identity within dialetheic metaphysics, even in paradigmatically extensional contexts. This paper investigates two alternative regimentations of indistinguishability. Although classically equivalent to the standard regimentation on which Priest focuses, these alternatives are strictly stronger than it in dialetheic settings. Both regimentations are transitive, and one satisfies substitutivity. It is argued that both regimentations provide better candidates to occupy the core theoretical role of numerical identity than does the standard regimentation.

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Nicholas K. Jones
University of Oxford

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References found in this work

In contradiction: a study of the transconsistent.Graham Priest - 1987 - New York: Oxford University Press.
Identity.Harold Noonan & Benjamin L. Curtis - 2022 - Stanford Encyclopedia of Philosophy.
Quantifiers in Language and Logic.Stanley Peters & Dag Westerståhl - 2006 - Oxford, England: Oxford University Press UK.
Metaphysical essays.John Hawthorne - 2006 - New York: Clarendon Press. Edited by John Hawthorne.

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