Mathematics and the real world

Koers : Bulletin for Christian Scholarship

D.F.M. Strauss¹ 

[1] Dean: Faculty of HumanitiesUniversity of the Free StateBLOEMFONTEIN;

关键词: applied mathematics;    infinity;    intuitionism;    Platonism;   

DOI  :  10.4102/koers.v65i1.466

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown