Skip to main content
SpringerLink
Log in

Rank in set theory without foundation

  • Published:
Archive for Mathematical Logic Aims and scope Submit manuscript

Abstract.

We prove that it is not possible to define an appropriate notion of rank in set theories without the axiom of foundation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile. E-mail: {vmarshal;gschwarz}@riemann.mat.puc.cl , , , , , , CL

    M. Victoria Marshall & M. Gloria Schwarze

Authors
  1. M. Victoria Marshall
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Gloria Schwarze
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 8 February 1996

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marshall, M., Schwarze, M. Rank in set theory without foundation. Arch Math Logic 38, 387–393 (1999). https://doi.org/10.1007/s001530050133

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001530050133

Search

Navigation