The logic and meaning of plurals. Part II

Journal of Philosophical Logic 35 (3):239-288 (2006)
Abstract
In this sequel to "The logic and meaning of plurals. Part I", I continue to present an account of logic and language that acknowledges limitations of singular constructions of natural languages and recognizes plural constructions as their peers. To this end, I present a non-reductive account of plural constructions that results from the conception of plurals as devices for talking about the many. In this paper, I give an informal semantics of plurals, formulate a formal characterization of truth for the regimented languages that results from augmenting elementary languages with refinements of basic plural constructions of natural languages, and account for the logic of plural constructions by characterizing the logic of those regimented languages
Keywords class  irreducibility of plurals  logic  model theory  natural language  non-axiomatizability of logic  plural  regimentation of plurals  second-order logic  semantics  set  singular  the many  the one
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Paul Hovda (2013). Tensed Mereology. Journal of Philosophical Logic 42 (2):241-283.

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