What do mathematicians dispute about, or on the ontological status of the objects of mathematics
Journal cover Przestrzenie Teorii, no. 3-4, year 2004
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How to Cite

Murawski, R. (2007). What do mathematicians dispute about, or on the ontological status of the objects of mathematics. Przestrzenie Teorii, (3-4), 253–260. https://doi.org/10.14746/pt.2004.3.15

Abstract

In this article the author considers various conceptions concerning ontological status of the objects of mathematics. The relation is show between these problems and a dispute over universals, and then Platonism, conceptualism and nominalism as the fundamental standpoints on the question o f mathematical objects are presented. Examples are given of concrete (specific) theories w ith in these standpoints and their implications (also epistemological ones) are shown.
https://doi.org/10.14746/pt.2004.3.15
PDF (Język Polski)