Burgess on Plural Logic and Set Theory
| Abstract | John Burgess (Burgess, 2004) combines plural logic and a new version of the idea of limitation of size to give an elegant motivation of the axioms of ZFC set theory. His proposal is meant to improve on earlier work by Paul Bernays in two ways. I argue that both attempted improvements fail. | |||||||||
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Øystein Linnebo (2007). Burgess on Plural Logic and Set Theory. Philosophia Mathematica 15 (1):79-93.
John P. Burgess (2004). E Pluribus Unum: Plural Logic and Set Theory. Philosophia Mathematica 12 (3):193-221.
Keith Hossack (forthcoming). Sets and Plural Comprehension. Journal of Philosophical Logic:1-23.
Massimiliano Carrara & Enrico Martino (2011). On the Infinite in Mereology with Plural Quantification. Review of Symbolic Logic 4:54-62.
Helen Morris Cartwright (1993). On Plural Reference and Elementary Set Theory. Synthese 96 (2):201 - 254.
Øystein Linnebo, Plural Quantification. Stanford Encyclopedia of Philosophy.
John P. Burgess (1985). From Preference to Utility: A Problem of Descriptive Set Theory. Notre Dame Journal of Formal Logic 26 (2):106-114.
Matti Eklund (forthcoming). Book Review. Truth. Alexis Burgess and John Burgess. [REVIEW] History and Philosophy of Logic.
Einar Duenger Bohn (2012). Monism, Emergence, and Plural Logic. Erkenntnis 76 (2):211-223.
Chihara Charles (2006). Burgess's ‘Scientific’ Arguments for the Existence of Mathematical Objects. Philosophia Mathematica 14 (3):318-337.
Margaret Urban Walker (1993). Thinking Morality Interpersonally: A Reply to Burgess-Jackson. Hypatia 8 (3):167 - 173.
George Boolos (1998). Logic, Logic, and Logic. Harvard University Press.
John P. Burgess (1980). Decidability for Branching Time. Studia Logica 39 (2-3):203 - 218.
John P. Burgess (2008). Thomas McKay. Plural Predication. Philosophia Mathematica 16 (1):133-140.
Gabriel Uzquiano (2003). Plural Quantification and Classes. Philosophia Mathematica 11 (1):67-81.
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