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Philosophia Mathematica 2004 12(3):193-221; doi:10.1093/philmat/12.3.193
© 2004 by Oxford University Press
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© 2004 PHILOSOPHIA MATHEMATICA

E Pluribus Unum: Plural Logic and Set Theory{dagger}

JOHN P. BURGESS*

*Department of Philosophy, Priceton University, Princeton N.J. 08544-1006 U.S.A. jburgess{at}princeton.edu

A new axiomatization of set theory, to be called Bernays-Boolos set theory, is introduced. Its background logic is the plural logic of Boolos, and its only positive set-theoretic existence axiom is a reflection principle of Bernays. It is a very simple system of axioms sufficient to obtain the usual axioms of ZFC, plus some large cardinals, and to reduce every question of plural logic to a question of set theory.


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O. Linnebo
Burgess on Plural Logic and Set Theory{dagger}
Philosophia Mathematica, February 1, 2007; 15(1): 79 - 93.
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