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- Patrick Toner (2006). Meta-Ontology and Accidental Unity. Philosophical Quarterly 56 (225):550–561.My wife and I and our three children may stand in various relations: being a family, being a basketball team, and so on. I show that Frege's doctrine of existence, when coupled with this simple point, easily solves the problem of material constitution and blocks the overdetermination argument for eliminativism. It does all this work while providing a plausible and clear reductionistic account of material objects. These seem to be very good reasons for accepting Frege's doctrine of existence.
1. The meaning of a singular term is exhausted by its reference. 2. The reference of a singular term is an entity that is logically simple.
Call a semantics *adequate* if it distinguishes material identity (a = b) from formal identity (a = a).
Frege reacts to the inadequacy of classical extensionalist semantics by rejecting (1). This he does without a sideways glance at (2), whose background ontology, an "ontology of individuals" (van Heijenoort's term), Frege implicitly accepts.
In contrast, my account of the difference between material and formal identity replaces that background ontology with one whose ground-level objects are ontologically differentiated and logically complex. The semantics I urge for singular terms, while *extensionalist* in the sense of (1), is thus a non-classical semantics in which singular terms take structured individuals, or complexes (as I will say), as their referents. For such individuals, unlike those of Frege's ontology, keep a = b and a = a apart.
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