Skip to main content
SpringerLink
Log in

Some applications of Gentzens second consistency proof

  • Published:
Mathematische Annalen 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

References

  1. Ackermann, W.: Zur Widerspruchsfreiheit der reinen Zahlentheorie. Math. Ann.117, 162–194 (1940).

    Google Scholar 

  2. Gentzen, G.: Neue Fassung des Widerspruchfreiheitbeweises für die reine Zahlentheorie. Forschungen zur Logik und Grundlegung der exakten Wissenschaften, Neue Folge, (1938).

  3. Harrop, R.: Concerning formulas of typesA →B νC, A → (Ex)B(x) in intuitionistic formal systems. J. Symb. Logic25, 27–32 (1960).

    Google Scholar 

  4. Kleene, S. C.: Introduction to metamathematics. North Holland 1962.

  5. Kreisel, G.: Mathematical logic, in “Lectures on Modern Mathematics”, vol. III, edited by T. L. Saaty. New York: John Wiley 1965.

    Google Scholar 

  6. Schütte, K.: Beweistheorie. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  7. Kreisel, G.: Appendix to sect. I, in Stanford Report, Winter 1963/64, mimeographed notes.

  8. Tait, W. W.: The substitution method. J. Symbolic Logic30, 175–192 (1965).

    Google Scholar 

  9. Takeuti, G.: Consistency proofs of subsystems of classical analysis. Ann. of Math.86, 299–348 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Basel, 3000, Basel, Switzerland

    Bruno Scarpellini

Authors
  1. Bruno Scarpellini
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scarpellini, B. Some applications of Gentzens second consistency proof. Math. Ann. 181, 325–344 (1969). https://doi.org/10.1007/BF01350671

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01350671

Keywords

Search

Navigation