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Non-well-founded set theory
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== Applications == In published research, non-well-founded sets are also called hypersets, in parallel to the [[Hyperreal number|hyperreal numbers]] of [[nonstandard analysis]].<ref name=":0">{{Citation |last=Moss |first=Lawrence S. |title=Non-wellfounded Set Theory |date=2018 |encyclopedia=The Stanford Encyclopedia of Philosophy |editor-last=Zalta |editor-first=Edward N. |url=https://plato.stanford.edu/archives/sum2018/entries/nonwellfounded-set-theory/ |access-date=2024-05-30 |edition=Summer 2018 |publisher=Metaphysics Research Lab, Stanford University}}</ref><ref>Hypersets (ucsd.edu)</ref> The hypersets were extensively used by [[Jon Barwise]] and [[John Etchemendy]] in their 1987 book ''The Liar'', on the [[liar's paradox]]. The book's proposals contributed to the [[theory of truth]].<ref name=":0" /> The book is also a good introduction to the topic of non-well-founded sets.<ref name=":0" />
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