An Order-Theoretic Account of Some Set-Theoretic Paradoxes

Thomas Förster, Thierry Libert · Notre Dame Journal of Formal Logic · 2010

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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