Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-30T20:43:43.897Z Has data issue: false hasContentIssue false
  • English
  • Français

On the interpretation of non-finitist proofs–Part II

Published online by Cambridge University Press:  12 March 2014

G. Kreisel
G. Kreisel*
Affiliation:
The University, Reading, England
Get access Rights & Permissions [Opens in a new window]

Extract

Since the Hilbert substitution method has been applied by Ackermann to the formalism Z of number theory in [3], we shall give the no-counter-example interpretation for extensions (c) of Z, e.g. Zμ. The work required on top of Ackermann's investigations to check conditions (α) and (β), consists only in a suitable definition of a class of recursive functional. The verification of (γ) and (δ) is much more difficult, and requires the ideas of paras. 32 and 33 in the preceding section.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 17 , Issue 1 , March 1952 , pp. 43 - 58
Copyright
Copyright © Association for Symbolic Logic 1952

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Appendix II was added in April 1951. Part I appeared in this Journal, vol. 16 (1951), pp. 241–267. References are on page 267 of Part I.