David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Philosophical Logic 35 (3):239-288 (2006)
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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Friederike Moltmann (2013). Reference to Numbers in Natural Language. Philosophical Studies 162 (3):499 - 536.
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Einar Duenger Bohn (2011). The Logic of the Trinity. Sophia 50 (3):363-374.
Alex Oliver & Timothy Smiley (2008). Is Plural Denotation Collective? Analysis 68 (297):22–34.
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