Non‐circular, non‐well‐founded set universes

Mathematical Logic Quarterly 39 (1):454-460 (1993)
  Copy   BIBTEX

Abstract

We show that there are universes of sets which contain descending ϵ-sequences of length α for every ordinal α, though they do not contain any ϵ-cycle. It is also shown that there is no set universe containing a descending ϵ-sequence of length On. MSC: 03E30; 03E65

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,100

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Anti-admissible sets.Jacob Lurie - 1999 - Journal of Symbolic Logic 64 (2):407-435.
Well- and non-well-founded Fregean extensions.Ignacio Jané & Gabriel Uzquiano - 2004 - Journal of Philosophical Logic 33 (5):437-465.
The Graph Conception of Set.Luca Incurvati - 2014 - Journal of Philosophical Logic 43 (1):181-208.
Conceptions and paradoxes of sets.G. Aldo Antonelli - 1999 - Philosophia Mathematica 7 (2):136-163.
The Decidability of the Class and the Axiom of Foundation.Dorella Bellè & Franco Parlamento - 2001 - Notre Dame Journal of Formal Logic 42 (1):41-53.
Expressing infinity without foundation.Franco Parlamento & Alberto Policriti - 1991 - Journal of Symbolic Logic 56 (4):1230-1235.
Kripke-Platek Set Theory and the Anti-Foundation Axiom.Michael Rathjen - 2001 - Mathematical Logic Quarterly 47 (4):435-440.

Analytics

Added to PP
2013-12-01

Downloads
15 (#949,044)

6 months
2 (#1,202,487)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Athanassios Tzouvaras
Aristotle University of Thessaloniki (PhD)

References found in this work

No references found.

Add more references