Burgess on plural logic and set theory

Philosophia Mathematica 15 (1):79-93 (2007)
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Abstract

John Burgess in a 2004 paper combined plural logic and a new version of the idea of limitation of size to give an elegant motivation of the axioms of ZFC set theory. His proposal is meant to improve on earlier work by Paul Bernays in two ways. I argue that both attempted improvements fail. I am grateful to Philip Welch, two anonymous referees, and especially Ignacio Jané for written comments on earlier versions of this paper, which have led to substantial improvements. Thanks also to the participants in a discussion group at the University of Bristol, where an earlier version was presented.

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Øystein Linnebo
University of Oslo

Citations of this work

A strong reflection principle.Sam Roberts - 2017 - Review of Symbolic Logic 10 (4):651-662.
Epistemic Modality and Hyperintensionality in Mathematics.Timothy Bowen - 2017 - Dissertation, Arché, University of St Andrews

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