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    The mathematical continuum: A haunting problematic

    de Freitas, E (2018) The mathematical continuum: A haunting problematic. Mathematics Enthusiast, 15 (1-2). pp. 148-158. ISSN 1551-3440

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    Abstract

    © 2018 The Author(s) & Dept. of Mathematical Sciences, The University of Montana. The mathematical continuum has a number of formulations and technical definitions. Two of these reference the geometric line and the real number system. This conceptual coupling of line and number has been an enduring source for mathematical invention and paradox. The continuum captures the monstrous desire of mathematics, a desire to re-assemble the point with the line, the discrete with the continuous, the finite with the infinite. This paper explores how the continuum is a source of fundamental ambiguity fueling our desires and fears about mathematics.

    Item Type: Article
    Peer-reviewed: Yes
    Date Deposited: 23 Apr 2018 13:27
    Publisher: The University of Montana
    Additional Information: This is an Open Access article published in Mathematics Enthusiast, published by The University of Montana, copyright The Author(s) & Dept. of Mathematical Sciences-The University of Montana.
    Divisions: Faculties > Health and Education
    Subject terms: 1303 Specialist Studies In Education
    URI: https://e-space.mmu.ac.uk/id/eprint/620322
    ISSN 1551-3440

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