Skip to main content

On cardinal numbers in Quine's New Foundations

Contributed Papers

  • 386 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 619)

Keywords

  • Natural Number
  • Ordinal Number
  • Cardinal Number
  • Relational Symbol
  • Axiomatic Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Ehrenfeucht and A. Mostowski, Models of axiomatic theories admitting automorphisms, Fund. Math., 43 (1956) p. 50–68.

    MathSciNet  MATH  Google Scholar 

  2. T. Forster, Ph. D. Thesis, University of Cambridge, 1976

    Google Scholar 

  3. C.W. Henson, Finite sets in Quine's New Foundations, J. Symbolic Logic, 34 (1969), p. 589–596.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. C.W. Henson, Type-raising operations on cardinal and ordinal numbers in Quine's New Foundations, J. Symbolic Logic, 38 (1973), p. 59–68

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. A. Petry, Dissertation doctorale, Université de Liège.

    Google Scholar 

  6. W.V. Quine, New Foundations for mathematical logic, From a logical point of view, Harvard (1953), p. 80–101.

    Google Scholar 

  7. J.B. Rosser, Logic for mathematicians, McGraw-Hill, 1953.

    Google Scholar 

  8. W. Sierpiński, Cardinal and ordinal numbers, Warsaw 1965

    Google Scholar 

  9. E.P. Specker, The axiom of choice in Quine's New Foundations for mathematical logic, Proc. Nat. Sc. U.S.A., 39 (1953), p. 972–975.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. R,L. Vaught, Review of [1], J. Symbolic, 31 (1966), p. 644–645.

    CrossRef  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag

About this paper

Cite this paper

Petry, A. (1977). On cardinal numbers in Quine's New Foundations. In: Lachlan, A., Srebrny, M., Zarach, A. (eds) Set Theory and Hierarchy Theory V. Lecture Notes in Mathematics, vol 619. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067655

Download citation

  • DOI: https://doi.org/10.1007/BFb0067655

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08521-8

  • Online ISBN: 978-3-540-37032-1

  • eBook Packages: Springer Book Archive