RT Article
T1 Mathematics and the real world
JF Koers
VO 65
IS 1
SP 95
OP 121
A1 Strauss, D. F. M.
LA English
YR 2000
UL https://ixtheo.de/Record/1936632225
AB 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.
K1 Platonism
K1 Intuitionism
K1 Infinity
K1 applied mathematics
DO 10.4102/koers.v65i1.466