Plural Quantification and the Iterative Concept of Set
Philosophy Research Archives 11:579-587 (1985)
| Abstract | Arecent paper by George Boolos suggests that it is philosophically respectable to use monadic second order logic in one’s explication of the iterative concept of set. I shall here give a partial indication of the new range of theories of the iterative hierarchy which are thus madeavailable to philosophers of set theory | |||||||||
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Thomas Forster (2008). The Iterative Conception of Set. Review of Symbolic Logic 1 (1):97-110.
Øystein Linnebo, Plural Quantification. Stanford Encyclopedia of Philosophy.
Helen Morris Cartwright (1993). On Plural Reference and Elementary Set Theory. Synthese 96 (2):201 - 254.
M. D. Potter (1993). Iterative Set Theory. Philosophical Quarterly 44 (171):178-193.
Christopher Menzel (1986). On the Iterative Explanation of the Paradoxes. Philosophical Studies 49 (1):37 - 61.
J. P. Studd (2012). The Iterative Conception of Set: A (Bi-)Modal Axiomatisation. Journal of Philosophical Logic.
Alexander Paseau (2007). Boolos on the Justification of Set Theory. Philosophia Mathematica 15 (1):30-53.
Christopher Menzel (forthcoming). Wide Sets, ZFCU, and the Iterative Conception. Journal of Philosophy.
Gabriel Uzquiano (2003). Plural Quantification and Classes. Philosophia Mathematica 11 (1):67-81.
Eric Steinhart (2002). Logically Possible Machines. Minds and Machines 12 (2):259-280.
John P. Burgess (2004). E Pluribus Unum: Plural Logic and Set Theory. Philosophia Mathematica 12 (3):193-221.
Massimiliano Carrara & Enrico Martino (2011). On the Infinite in Mereology with Plural Quantification. Review of Symbolic Logic 4:54-62.
George Boolos (1971). The Iterative Conception of Set. Journal of Philosophy 68 (8):215-231.
A. Paseau (2003). The Open-Endedness of the Set Concept and the Semantics of Set Theory. Synthese 135 (3):379 - 399.
Pierluigi Miraglia (2000). Finite Mathematics and the Justification of the Axiom of Choicet. Philosophia Mathematica 8 (1):9-25.
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