Skip to main content
SpringerLink
Log in

Theory of zermelo without power set axiom and the theory of Zermelo-Frenkel without power set axiom are relatively consistent

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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

Literature cited

  1. P. J. Cohen, Set Theory and the Continuum Hypothesis, W. A. Benjamin (1966).

  2. K.-P. Apt and W. Marek, “Second-order arithmetic and related topics,” Ann. Math. Logic,6, No. 5, 177–229 (1974).

    Google Scholar 

  3. G. Kreisel, “A survey of proof theory,” J. Symbolic Logic,33, No. 3, 321–388 (1968).

    Google Scholar 

  4. T, J. Jech, Lectures in Set Theory with Particular Emphasis on the Method of Forcing, Springer-Verlag (1971).

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Rail Transport Engineers, USSR

    V. G. Kanovei

Authors
  1. V. G. Kanovei
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 30, No. 3, pp. 407–419, September, 1981.

The author is deeply grateful to A. G. Dragalin for discussing this work and his valuable remarks.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kanovei, V.G. Theory of zermelo without power set axiom and the theory of Zermelo-Frenkel without power set axiom are relatively consistent. Mathematical Notes of the Academy of Sciences of the USSR 30, 695–702 (1981). https://doi.org/10.1007/BF01141627

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01141627

Search

Navigation