Second-Order Predication and the Metaphysics of Properties

Abstract
Problems about the accidental properties of properties motivate us--force us, I think--not to identify properties with the sets of their instances. If we identify them instead with functions from worlds to extensions, we get a theory of properties that is neutral with respect to disputes over counterpart theory, and we avoid a problem for Lewis's theory of events. Similar problems about the temporary properties of properties motivate us--though this time they probably don't force us--to give up this theory as well, and to identify properties with functions from world, time pairs to extensions. Again, the replacement theory is neutral with respect to a metaphysical dispute that the old theory (arguably) forces us to take a stand on--the dispute over whether objects have temporal parts. It also allows us to give a smoother semantics for predication, to better accommodate our intuitions about which objects temporary properties are properties of, and to make temporally self-locating beliefs genuinely self -locating.
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DOI 10.1080/713659803
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Moral Contextualism and Moral Relativism.Berit Brogaard - 2008 - Philosophical Quarterly 58 (232):385 - 409.
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Now is the Time.M. J. Cresswell - 2006 - Australasian Journal of Philosophy 84 (3):311 – 332.
The Accidental Properties of Numbers and Properties.Harold Noonan & Mark Jago - 2012 - Thought: A Journal of Philosophy 1 (2):134-140.

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