Can mereological sums serve as the semantic values of plurals?
| Abstract | 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 can serve as the semantic values of plurals—turns out to be much less strong than what it is usually presented to be. | |||||||||
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Maureen Donnelly (2009). Mereological Vagueness and Existential Vagueness. Synthese 168 (1):53 - 79.
Byeong-uk Yi (2006). The Logic and Meaning of Plurals. Part II. Journal of Philosophical Logic 35 (3):239-288.
Jeffrey Grupp (2006). Mereological Nihilism: Quantum Atomism and the Impossibility of Material Constitution. Axiomathes 16 (3).
Judith Crane (2012). Biological-Mereological Coincidence. Philosophical Studies 161 (2):309-325.
Berit Brogaard (2004). Species as Individuals. Biology and Philosophy 19 (2):223-242.
David Nicolas (2008). Mass Nouns and Plural Logic. Linguistics and Philosophy 31 (2):211-244.
Peter van Inwagen (2006). Can Mereological Sums Change Their Parts? Journal of Philosophy 103 (12):614-630.
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