Forcing with the Anti‐Foundation axiom

Mathematical Logic Quarterly 58 (1-2):55-62 (2012)
  Copy   BIBTEX

Abstract

In this paper we define the forcing relation and prove its basic properties in the context of the theory ZFCA, i.e., ZFC minus the Foundation axiom and plus the Anti-Foundation axiom

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,031

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

Forcing and antifoundation.Athanassios Tzouvaras - 2005 - Archive for Mathematical Logic 44 (5):645-661.
Kripke-Platek Set Theory and the Anti-Foundation Axiom.Michael Rathjen - 2001 - Mathematical Logic Quarterly 47 (4):435-440.
Forcing under Anti‐Foundation Axiom: An expression of the stalks.Sato Kentaro - 2006 - Mathematical Logic Quarterly 52 (3):295-314.
Dependent Choices and Anti-Foundation.Hisato Muraki - 2002 - Mathematical Logic Quarterly 48 (4):607-623.
Inconsistency of GPK + AFA.Olivier Esser - 1996 - Mathematical Logic Quarterly 42 (1):104-108.
Non‐circular, non‐well‐founded set universes.Athanassios Tzouvaras - 1993 - Mathematical Logic Quarterly 39 (1):454-460.
The Bounded Axiom A Forcing Axiom.Thilo Weinert - 2010 - Mathematical Logic Quarterly 56 (6):659-665.
Well- and non-well-founded Fregean extensions.Ignacio Jané & Gabriel Uzquiano - 2004 - Journal of Philosophical Logic 33 (5):437-465.
Semiproper forcing axiom implies Martin maximum but not PFA+.Saharon Shelah - 1987 - Journal of Symbolic Logic 52 (2):360-367.

Analytics

Added to PP
2013-10-31

Downloads
51 (#320,705)

6 months
1 (#1,516,001)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

The consistency problem for positive comprehension principles.M. Forti & R. Hinnion - 1989 - Journal of Symbolic Logic 54 (4):1401-1418.
Set Theory in Which the Axiom of Foundation Fails.Richard Jay Malitz - 1976 - Dissertation, University of California, Los Angeles

Add more references