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Brouwer’s Intuitionism

Mathematics in the Being Mode of Existence

Handbook of the History and Philosophy of Mathematical Practice

Abstract

It is argued that Brouwer’s philosophy of mathematics makes perfect sense if viewed from an Eastern philosophical perspective, as a mathematics in what Erich Fromm called “the being mode of existence.” The difficulty Western philosophers have accepting its validity under Brouwer’s own justifications is that mathematics is one of the highest prized treasures of Western philosophy (those footnotes to Plato’s dialogues).

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Acknowledgments

The presentation has benefitted from suggestions and corrections by Orna Harari, Stylianos Negrepontis, Athanase Papadopoulos, Rolf Struve, and Mark van Atten.

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  1. School of Mathematical and Natural Sciences, Arizona State University – West Campus, Phoenix, AZ 85069-7100, USA

    Victor Pambuccian

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  1. Victor Pambuccian
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Correspondence to Victor Pambuccian .

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  1. Department of Mathematical Sciences, The University of Montana, Missoula, MT, USA

    Bharath Sriraman

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  1. University of Strasbourg, Strasbourg, France

    Athanase Papadopoulos

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Pambuccian, V. (2022). Brouwer’s Intuitionism. In: Sriraman, B. (eds) Handbook of the History and Philosophy of Mathematical Practice. Springer, Cham. https://doi.org/10.1007/978-3-030-19071-2_103-1

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  • DOI: https://doi.org/10.1007/978-3-030-19071-2_103-1

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  • Print ISBN: 978-3-030-19071-2

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  1. Latest

    Brouwer’s Intuitionism
    Published:
    22 November 2023

    DOI: https://doi.org/10.1007/978-3-030-19071-2_103-3

  2. Brouwer’s Intuitionism
    Published:
    25 August 2023

    DOI: https://doi.org/10.1007/978-3-030-19071-2_103-2

  3. Original

    Brouwer’s Intuitionism
    Published:
    28 September 2022

    DOI: https://doi.org/10.1007/978-3-030-19071-2_103-1

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