Why There Cannot Be Transitivity With Respect to Supervenient Properties

In Björn Haglund & Helge Malmgren (eds.), Kvantifikator För En Dag. Essays Dedicated to Dag Westerståhl on His Sixtieth Birthday (2006)
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Abstract

This paper presents an argument to the effect that the relation of exact similarity with respect to properties that are supervenient cannot be transitive. The point of departure is that, while a difference in respect of supervenient properties entails a difference in respect of subvenient properties, exact similiarity in respect of supervenient properties is compatible with differences in respect of subvenient properties. It is logically possible that two such sets of differences that each individually is insufficient for a difference as regards the supervenient property together are sufficient for such a supervenient difference. This possibility claim is incompatible with the necessity claim entailed by the transitivity of exact similarity. Several objections to this argument are then considered.

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Ingmar Persson
Oxford University

References found in this work

Reasons and Persons.Derek Parfit - 1984 - Oxford, GB: Oxford University Press.
Supervenience and mind: selected philosophical essays.Jaegwon Kim - 1993 - New York, NY, USA: Cambridge University Press.
The Language of Morals.Richard Mervyn Hare - 1952 - Oxford, England: Oxford University Press.
Reasons and Persons.Joseph Margolis - 1986 - Philosophy and Phenomenological Research 47 (2):311-327.
A Continuum Argument for Intransitivity.Larry S. Temkin - 1996 - Philosophy and Public Affairs 25 (3):175-210.

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