Skip to main content
Log in

A proof of the independence of the continuum hypothesis

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Cohen, Paul J., The independence of the continuum hypothesis, I, II.Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1143–1148;ibid. 51 (1964), 105–110.

    Google Scholar 

  2. -, Independence results in set theory.The Theory of Models, Proc. 1963 Internat. Symposium, Berkeley, Amsterdam, 1965, pp. 39–54.

  3. -, Set theory and the continuum hypothesis. New York (1966).

  4. Easton, William B.,Powers of regular cardinals. Ph.D Thesis, Princeton, 1964.

  5. Halmos, Paul R.,Lectures on Boolean algebras. Van Nostrand Mathematical Studies, Princeton, 1963.

    Google Scholar 

  6. Rasiowa, Helena andRoman Sikorski,The mathematics of metamathematics. Monografie Matematyczne, Vol. 41, Warsaw, 1963.

  7. Sacks, Gerald E., Measure-theoretic uniformity.Bull. Amer. Math. Soc. 73 (1967), 169–174.

    Google Scholar 

  8. Scott, Dana andRobert Solovay, Boolean algebras and forcing, (in preparation).

  9. Solovay, Robert, The measure problem. Abstract 65T-62,Notices Amer. Math. Soc. 12 (1965), 217.

    Google Scholar 

  10. Vopenka, Petr, The limits of sheaves and applications on constructions of models.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), 189–192.

    Google Scholar 

  11. —, On ∇-model of set theory.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), 267–272.

    Google Scholar 

  12. Jech, T. andA. Sochor, On Θ-model of the set theory.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 297–303.

    Google Scholar 

  13. Marek, W., A remark on independence proofs.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 543–545.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by NSF Grant GP-3926.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scott, D. A proof of the independence of the continuum hypothesis. Math. Systems Theory 1, 89–111 (1967). https://doi.org/10.1007/BF01705520

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01705520

Keywords

Navigation