Coextension and Identity

In Ghislain Guigon & Gonzalo Rodríguez Pereyra (eds.), Nominalism About Properties: New Essays. New York, NY: Routledge. pp. 135-155 (2015)
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Abstract

This chapter is concerned with the coextension difficulty for nominalist theories of properties that reject tropes alongside universals. After carefully explaining the coextension difficulty and describing the theories it targets, the chapter describes different solutions to the difficulty. These solutions differ with respect to how much involved they are into a dualist approach to coextension. A dualist approach to a case of coextension consists in agreeing with the realist that the relevant ascriptions of properties are numerically distinct. A monist approach to a case of coextension consists in contending that the relevant ascriptions of properties are identical. In this chapter, I defend a monist approach to cases of coextension that appeals to a counterpart theory for propositions.

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Ghislain Guigon
University of Geneva (PhD)

Citations of this work

Truths qua Grounds.Ghislain Guigon - 2018 - Philosophy and Phenomenological Research 97 (1):99-125.
Quidditism and the Resemblance of Properties.Ghislain Guigon - 2016 - Thought: A Journal of Philosophy 5 (3):177-184.
Applications and Extensions of Counterpart Theory.Peterson Bridgette - 2017 - Dissertation, University of Massachusetts Amherst

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
New work for a theory of universals.David K. Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
Counterpart theory and quantified modal logic.David Lewis - 1968 - Journal of Philosophy 65 (5):113-126.

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