Show simple item record Cocchiarella, Nino 2018-08-06T19:25:08Z 2018-08-06T19:25:08Z 2002-04
dc.identifier.citation Cocchiarella, N. "On the Logic of Classes as Many," Studia Logica, vol. 70 no. 3 (2002): 303- 338. en
dc.description This is a post-peer-review, pre-copyedit version of an article published in Studia Logica. The final authenticated version is available online at: en
dc.description.abstract The notion of a "class as many" was central to Bertrand Russell's early form of logicism in his 1903 Principles of Mathematics. There is no empty class in this sense, and the singleton of an urelement (or atom in our reconstruction) is identical with that urelement. Also, classes with more than one member are merely pluralities — or what are sometimes called "plural objects" — and cannot as such be themselves members of classes. Russell did not formally develop this notion of a class but used it only informally. In what follows, we give a formal, logical reconstruction of the logic of classes as many as pluralities (or plural objects) within a fragment of the framework of conceptual realism. We also take groups to be classes as many with two or more members and show how groups provide a semantics for plural quantifier phrases. en
dc.language.iso en en
dc.publisher Studia Logica en
dc.relation.isversionof en
dc.subject class(es) as many en
dc.subject atom en
dc.subject common names en
dc.subject plural reference en
dc.subject plural objects en
dc.subject nominalization en
dc.subject extensionality en
dc.title On the Logic of Classes as Many en
dc.type Article en
dc.identifier.doi 10.1023/A:1015190829525

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