An Order-Theoretic Account of Some Set-Theoretic Paradoxes


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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
Keywords set-theoretic paradoxes   logical paradoxes   Russell paradox   Mirimanoff paradox   Burali-Forti paradox
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Reprint years 2011
DOI 10.1215/00294527-2010-033
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