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Reflections on Bishop's philosophy of mathematics

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

Keywords

  • Classical Logic
  • Constructive Proof
  • Mathematical Reality
  • Actual Infinity
  • Mathematical Claim

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References

  1. Errett Bishop, Foundations of Constructive Analysis, McGraw-Hill, New York, 1967.

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  2. Georg Cantor, Abhandlungen Mathematischen und Philosophischen Inhalts, ed. Ernst Zermelo, Olms, Hildesheim, 1966.

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  3. Michael Dummett, Elements of Intuitionism, Clarendon Press, Oxford, 1977.

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  4. Nicolas D. Goodman, "Mathematics as an objective science", Amer. Math. Monthly, v. 86(1979), pp. 540–551.

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  5. Akiko Kino, "How long are we prepared to wait? — A note on constructive mathematics". Preprint.

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  6. Morris Kline, Mathematical Thought from Ancient to Modern Times, Oxford U.P., New York, 1972.

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  7. Saunders Mac Lane, "A history of abstract algebra: Origin, rise, and decline of a movement". Preprint.

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© 1981 Springer-Verlag

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Goodman, N.D. (1981). Reflections on Bishop's philosophy of mathematics. In: Richman, F. (eds) Constructive Mathematics. Lecture Notes in Mathematics, vol 873. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090732

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  • DOI: https://doi.org/10.1007/BFb0090732

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10850-4

  • Online ISBN: 978-3-540-38759-6

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