Original Research

Mathematics and the real world

D.F.M. Strauss
Koers - Bulletin for Christian Scholarship/Bulletin vir Christelike Wetenskap | Vol 65, No 1 | a466 | DOI: https://doi.org/10.4102/koers.v65i1.466 | © 2000 D.F.M. Strauss | This work is licensed under CC Attribution 4.0
Submitted: 19 December 2000 | Published: 19 December 2000

About the author(s)

D.F.M. Strauss, Dean: Faculty of Humanities University of the Free State BLOEMFONTEIN

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Abstract

In this article the initial discussion of the untenability of the distinction between “pure” and “applied" mathematics is followed by looking at alternative approaches regarding the relationship between mathematics and the “real world” - with intuitionism and Platonism representing the two opposite positions. The notions of infinity as well as the totality character of spatial continuity (and its implied infinite divisibility) turned out to occupy a central position in this context. In the final section brief attention is given - against the background of some perspectives on the history of mathematics - to an alternative approach in which both the uniqueness and the mutual irreducibility of number and space are conjectured.

Keywords

applied mathematics; infinity; intuitionism; Platonism

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