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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DOI 10.1093/philmat/12.3.193
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The Potential Hierarchy of Sets.Øystein Linnebo - 2013 - Review of Symbolic Logic 6 (2):205-228.
Composition as a Kind of Identity.Phillip Bricker - 2016 - Inquiry : An Interdisciplinary Journal of Philosophy 59 (3):264-294.
Maximality Principles in Set Theory.Luca Incurvati - forthcoming - Philosophia Mathematica:nkw011.
The Price of Universality.Gabriel Uzquiano - 2006 - Philosophical Studies 129 (1):137-169.
First-Order Modal Logic in the Necessary Framework of Objects.Peter Fritz - 2016 - Canadian Journal of Philosophy 46 (4-5):584-609.

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