David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 11 (1):67-81 (2003)
When viewed as the most comprehensive theory of collections, set theory leaves no room for classes. But the vocabulary of classes, it is argued, provides us with compact and, sometimes, irreplaceable formulations of largecardinal hypotheses that are prominent in much very important and very interesting work in set theory. Fortunately, George Boolos has persuasively argued that plural quantification over the universe of all sets need not commit us to classes. This paper suggests that we retain the vocabulary of classes, but explain that what appears to be singular reference to classes is, in fact, covert plural reference to sets.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
References found in this work BETA
No references found.
Citations of this work BETA
Gabriel Uzquiano (2006). The Price of Universality. Philosophical Studies 129 (1):137 - 169.
Joshua Rasmussen (2010). From States of Affairs to a Necessary Being. Philosophical Studies 148 (2):183 - 200.
Stephen Pollard (2007). Mathematical Determinacy and the Transferability of Aboutness. Synthese 159 (1):83 - 98.
Similar books and articles
Nino B. Cocchiarella (2005). Denoting Concepts, Reference, and the Logic of Names, Classes as Many, Groups, and Plurals? Linguistics and Philosophy 28 (2):135 - 179.
Helen Morris Cartwright (1993). On Plural Reference and Elementary Set Theory. Synthese 96 (2):201 - 254.
Nino B. Cocchiarella (2002). On the Logic of Classes as Many. Studia Logica 70 (3):303-338.
John L. Bell (2000). Sets and Classes as Many. Journal of Philosophical Logic 29 (6):585-601.
Philippe De Rouilhan (2002). On What There Are. Proceedings of the Aristotelian Society 102:183 - 200.
Philip Hugly & Charles Sayward (1980). Tarski and Proper Classes. Analysis 40 (4):6-11.
Nino B. Cocchiarella (2009). Mass Nouns in a Logic of Classes as Many. Journal of Philosophical Logic 38 (3):343 - 361.
Enrico Martino & Massimiliano Carrara (2010). To Be is to Be the Object of a Possible Act of Choice. Studia Logica 96 (2):289-313.
Ralf-Dieter Schindler (1993). Prädikative Klassen. Erkenntnis 39 (2):209 - 241.
Added to index2009-01-28
Total downloads69 ( #17,179 of 1,089,127 )
Recent downloads (6 months)7 ( #15,198 of 1,089,127 )
How can I increase my downloads?