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.
M. D. Potter (1993). Iterative Set Theory. Philosophical Quarterly 44 (171):178-193.
Eric Steinhart (2002). Logically Possible Machines. Minds and Machines 12 (2):259-280.
George Boolos (1971). The Iterative Conception of Set. Journal of Philosophy 68 (8):215-231.
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