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  1. Can Mereological Sums Serve as the Semantic Values of Plurals?David Nicolas - manuscript
    Abstract: Friends of plural logic—like Oliver & Smiley (2001), Rayo (2002), Yi (2005), and McKay (2006)—have argued that a semantics of plurals based on mereological sums would be too weak, and they have adduced several examples in favor of their claim. However, they have not considered various possible counter-arguments. So how convincing are their own arguments? We show that several of them are easily answered, while some others are more problematic. Overall, the case against mereological singularism—the idea that mereological sums (...)
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  • Aggregate Theory Versus Set Theory.Hartley Slater - 2003 - Erkenntnis 59 (2):189 - 202.
    Maddy's (1990) arguments against Aggregate Theory were undermined by the shift in her position in 1997. The present paper considers Aggregate Theory in the light of this, and the recent search for `New Axioms for Mathematics'. If Set Theory is the part-whole theory of singletons, then identifying singletons with their single members collapses Set Theory into Aggregate Theory. But if singletons are not identical to their single members, then they are not extensional objects and so are not a basis for (...)
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  • Negatives, Numbers, and Necessity Some Worries About Armstrong's Version of Truthmaking.Peter Simons - 2005 - Australasian Journal of Philosophy 83 (2):253 – 261.
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