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On constructive functions ranging over propositions

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Abstract

It is shown that there is no constructive extensional truth-value mapping from the speciesP of all propositions into known constructive structures ≠ P.

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References

  1. D. van Dalen,The use of Kripke's schema as a reduction principle,The Journal of Symbolic Logic 42 (1977), pp. 238–240.

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  2. W. Friedrich, andH. Luckhardt,Intuitionistic uniformity principles for propositions and some applications, in this journal, pp. 361–369.

  3. A.S. Troelstra,Principles of Intuitionism, Springer Lecture Note 95 (1969).

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Authors and Affiliations

  1. J. W. Goethe-Universität, Frankfurt a. M.

    H. Luckhardt

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  1. H. Luckhardt
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Additional information

I thank W. Friedrich for discussion and a referee for remarks on this paper.

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Luckhardt, H. On constructive functions ranging over propositions. Stud Logica 39, 371–374 (1980). https://doi.org/10.1007/BF00713547

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  • DOI: https://doi.org/10.1007/BF00713547

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