Skip to main content
Log in

Creative subject, Beth models and neighbourhood functions

  • Published:
Archive for Mathematical Logic 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

  • Brouwer, L.E.J.: Essentieel negatieve eigenschappen. Indagationes Math.10, 322–323 (1948)

    Google Scholar 

  • Brouwer, L.E.J.: Consciousness, philosophy and mathematics. In: Beth, E.W., et al. (eds.) Library of the Tenth International Congress of Philosophy, August 1948, Amsterdam, vol. I, pp. 1235–1249. Amsterdam: North-Holland 1949 A

    Google Scholar 

  • Brouwer, L.E.J.: De non-aequivalentie van de constructieve en de negatieve orderelatie in het continuum. Indagationes Math.11, 37–39 (1949 B)

    Google Scholar 

  • Brouwer, L.E.J.: Over accumulatiekernen van oneindige kernsoorten. Indagationes Math.14, 439–441 (1952)

    Google Scholar 

  • Brouwer, L.E.J.: Intuitionistische differentieerbaarheid. Indagationes Math.16, 201–203 (1954 A)

    Google Scholar 

  • Brouwer, L.E.J.: An example of contradictory in classical theory of functions. Indagationes Math.16, 204–205 (1954 B)

    Google Scholar 

  • Dalen, D.van: An interpretation of intuitionistic analysis. Ann. Math. Logic13, 1–41 (1978)

    Google Scholar 

  • Dalen, D.van.: Intuitionistic logic. In: Gabbay, D., Guenther, F. (eds.) Handbook of philosophical logic, vol. III, pp. 225–339. Dordrecht: Reidel 1986

    Google Scholar 

  • Dantzig, D.van.: Comments on Brouwer's theorem on essentially-negative predicates. Indagationes Math.11, 347–355 (1949)

    Google Scholar 

  • Dummett, M.A.E.: Elements of intuitionism. Oxford: Clarendon Press 1977

    Google Scholar 

  • Gabbay, D.M.: A new version of Beth semantics for intuitionistic logic. J. Symb. Logic.42, 306–308 (1977)

    Google Scholar 

  • Gabbay, D.M.: Semantical investigations in Heyting's intuitionistic logic. Synthese Library, vol. 148. Dordrecht: Reidel 1981

    Google Scholar 

  • Heyting, A.: Intuitionism. An introduction, 3rd rev. edn. Amsterdam: North-Holland 1971

    Google Scholar 

  • Kreisel, G.: Informal rigour and completeness proofs. In: Lakatos, I. (ed.) Problems in the philosophy of mathematics, pp. 138–171. Amsterdam: North-Holland 1967

    Google Scholar 

  • Kripke, S.A.: Semantical analysis of intuitionistic logic I. In: Grossley, J., Dummett, M.A.E. (eds.) Formal systems and recursive functions, pp. 92–130. Amsterdam: North-Holland 1965

    Google Scholar 

  • Myhill, J.: Notes towards an axiomatization of intuitionistic analysis. Logique et analyse35, 280–297 (1967)

    Google Scholar 

  • Myhill, J.: Formal systems of intuitionistic analysis I. In: van Rootselaar, B., Staal, J. (eds.) Logic, methodology and philosophy of science, vol. III, pp. 161–178. Amsterdam: North-Holland 1968

    Google Scholar 

  • Myhill, J.: Formal systems of intuitionistic analysis II. In: Kino, A., et al. (eds.) Intuitionism and proof theory, pp. 151–162. Amsterdam: North-Holland 1970

    Google Scholar 

  • Rootselaar, B.van.: On subjective mathematical assertions. In: Kino, A., et al. (eds.) Intuitionism and proof theory, pp. 187–196. Amsterdam: North-Holland 1970

    Google Scholar 

  • Swart, H.de.: Another intuitionistic completeness proof. J. Symb. Logic41, 644–662 (1976)

    Google Scholar 

  • Troelstra, A.S., van Dalen, D.: Constructivism in mathematics, vols. I and II. Amsterdam: North-Holland 1988

    Google Scholar 

  • Troelstra, A.S.: Principles of intuitionism. Lect. Notes Math., vol. 95. Berlin Heidelberg New York: Springer 1969

    Google Scholar 

  • Troelstra, A.S.: Choice sequences, a chapter of intuitionistic mathematics. Oxford: Clarendon Press 1977

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krivtsov, V.N. Creative subject, Beth models and neighbourhood functions. Arch Math Logic 35, 89–102 (1996). https://doi.org/10.1007/BF01273687

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01273687

Keywords

Navigation