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An intuitionistic infinitesimal calculus

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Part of the Lecture Notes in Mathematics book series (LNM,volume 873)

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  • Classical Nons
  • Topological Model
  • Universal Quantification
  • Nonstandard Analysis
  • Choice Sequence

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References

  • E. Bishop 1967. Foundations of constructive analysis, New York.

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  • W. Julian, R. Mines and F. Richman 1978. Algebraic numbers, a constructive development, Pacific J. Math. 94, pp. 91–102.

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  • H. J. Keisler 1976. Foundations of infinitesimal calculus, Boston.

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  • S.C. Kleene and R.E. Vesley 1965. The foundations of intuitionistic analysis, Amsterdam.

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  • M.D. Krol' 1978. A topological model for intuitionistic analysis with Kripke's schema, Z. math. Logik Grundl. Math. 24, pp. 427–36.

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  • J. Myhill 1967. Notes towards an axiomatization of intuitionistic analysis, Logique et Analyse 35, pp. 280–97.

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© 1981 Springer-Verlag

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Vesley, R. (1981). An intuitionistic infinitesimal calculus. In: Richman, F. (eds) Constructive Mathematics. Lecture Notes in Mathematics, vol 873. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090735

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  • DOI: https://doi.org/10.1007/BFb0090735

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10850-4

  • Online ISBN: 978-3-540-38759-6

  • eBook Packages: Springer Book Archive