An Order-Theoretic Account of Some Set-Theoretic Paradoxes

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Notre Dame Journal of Formal Logic 52 (1):1-19 (2011)
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Abstract

We present an order-theoretic analysis of set-theoretic paradoxes. This analysis will show that a large variety of purely set-theoretic paradoxes (including the various Russell paradoxes as well as all the familiar implementations of the paradoxes of Mirimanoff and Burali-Forti) are all instances of a single limitative phenomenon

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10.1215/00294527-2010-033

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Thomas Forster
Cambridge University

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References found in this work

Slim models of zermelo set theory.A. R. D. Mathias - 2001 - Journal of Symbolic Logic 66 (2):487-496.
On the Consistency of a Positive Theory.Olivier Esser - 1999 - Mathematical Logic Quarterly 45 (1):105-116.
An Alternative Way of Avoiding the Set-Theoretical Paradoxes.H. L. Skala - 1974 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (13-18):233-237.
An Alternative Way of Avoiding the Set‐Theoretical Paradoxes.H. L. Skala - 1974 - Mathematical Logic Quarterly 20 (13‐18):233-237.
On topological set theory.Thierry Libert & Olivier Esser - 2005 - Mathematical Logic Quarterly 51 (3):263-273.

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