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Abstracts
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.
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.
Journal
Year
Issue
Physical description
Dates
published
2004
online
2007-06-15
Contributors
author
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.ojs-doi-10_14746_pt_2004_3_15