E pluribus unum: Plural logic and set theory

Philosophia Mathematica 12 (3):193-221 (2004)
Abstract
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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Gabriel Uzquiano (2006). The Price of Universality. Philosophical Studies 129 (1):137 - 169.
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