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- Aczels_anti-foundation_axiom abstract "In the foundations of mathematics, Aczel's anti-foundation axiom is an axiom set forth by Peter Aczel (1988), as an alternative to the axiom of foundation in Zermelo–Fraenkel set theory. It states that every accessible pointed directed graph corresponds to a unique set. In particular, according to this axiom, the graph consisting of a single vertex with a loop corresponds to a set that contains only itself as element, i.e. a Quine atom. A set theory obeying this axiom is necessarily a non-well-founded set theory.".
- Aczels_anti-foundation_axiom wikiPageExternalLink contents.html.
- Aczels_anti-foundation_axiom wikiPageExternalLink jiis.pdf.
- Aczels_anti-foundation_axiom wikiPageExternalLink chapter_seven.htm.
- Aczels_anti-foundation_axiom wikiPageID "8933657".
- Aczels_anti-foundation_axiom wikiPageLength "2390".
- Aczels_anti-foundation_axiom wikiPageOutDegree "15".
- Aczels_anti-foundation_axiom wikiPageRevisionID "644779458".
- Aczels_anti-foundation_axiom wikiPageWikiLink Accessible_pointed_graph.
- Aczels_anti-foundation_axiom wikiPageWikiLink Axiom.
- Aczels_anti-foundation_axiom wikiPageWikiLink Axiom_of_foundation.
- Aczels_anti-foundation_axiom wikiPageWikiLink Axiom_of_regularity.
- Aczels_anti-foundation_axiom wikiPageWikiLink Category:Axioms_of_set_theory.
- Aczels_anti-foundation_axiom wikiPageWikiLink Category:Directed_graphs.
- Aczels_anti-foundation_axiom wikiPageWikiLink Directed_graph.
- Aczels_anti-foundation_axiom wikiPageWikiLink Foundations_of_mathematics.
- Aczels_anti-foundation_axiom wikiPageWikiLink Non-well-founded_set_theory.
- Aczels_anti-foundation_axiom wikiPageWikiLink Path_(graph_theory).
- Aczels_anti-foundation_axiom wikiPageWikiLink Quine_atom.
- Aczels_anti-foundation_axiom wikiPageWikiLink Rooted_graph.
- Aczels_anti-foundation_axiom wikiPageWikiLink Set_(mathematics).
- Aczels_anti-foundation_axiom wikiPageWikiLink Urelement.
- Aczels_anti-foundation_axiom wikiPageWikiLink Vertex_(graph_theory).
- Aczels_anti-foundation_axiom wikiPageWikiLink Von_Neumann_universe.
- Aczels_anti-foundation_axiom wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Aczels_anti-foundation_axiom wikiPageWikiLinkText "Aczel's anti-foundation axiom".
- Aczels_anti-foundation_axiom wikiPageWikiLinkText "Aczel’s anti-foundation axiom".
- Aczels_anti-foundation_axiom authorlink "Peter Aczel".
- Aczels_anti-foundation_axiom first "Peter".
- Aczels_anti-foundation_axiom hasPhotoCollection Aczels_anti-foundation_axiom.
- Aczels_anti-foundation_axiom last "Aczel".
- Aczels_anti-foundation_axiom wikiPageUsesTemplate Template:Cite_book.
- Aczels_anti-foundation_axiom wikiPageUsesTemplate Template:Cite_journal.
- Aczels_anti-foundation_axiom wikiPageUsesTemplate Template:Harvs.
- Aczels_anti-foundation_axiom wikiPageUsesTemplate Template:Settheory-stub.
- Aczels_anti-foundation_axiom year "1988".
- Aczels_anti-foundation_axiom subject Category:Axioms_of_set_theory.
- Aczels_anti-foundation_axiom subject Category:Directed_graphs.
- Aczels_anti-foundation_axiom hypernym Axiom.
- Aczels_anti-foundation_axiom comment "In the foundations of mathematics, Aczel's anti-foundation axiom is an axiom set forth by Peter Aczel (1988), as an alternative to the axiom of foundation in Zermelo–Fraenkel set theory. It states that every accessible pointed directed graph corresponds to a unique set. In particular, according to this axiom, the graph consisting of a single vertex with a loop corresponds to a set that contains only itself as element, i.e. a Quine atom.".
- Aczels_anti-foundation_axiom label "Aczel's anti-foundation axiom".
- Aczels_anti-foundation_axiom sameAs Axiome_danti-fondation.
- Aczels_anti-foundation_axiom sameAs m.027q832.
- Aczels_anti-foundation_axiom sameAs Q2874789.
- Aczels_anti-foundation_axiom sameAs Q2874789.
- Aczels_anti-foundation_axiom wasDerivedFrom Aczels_anti-foundation_axiomoldid=644779458.
- Aczels_anti-foundation_axiom isPrimaryTopicOf Aczels_anti-foundation_axiom.