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Interdisciplinary studies of complex system
Article . 2020 . Peer-reviewed
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Applied philosophy in mathematics

Authors: Kondratiev, Yuri;

Applied philosophy in mathematics

Abstract

We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.

Related Organizations
Keywords

20C99, 2005, 47B38, configuration spaces, discrete measures, reflection maps, General Mathematics (math.GM), FOS: Mathematics, reflection maps, configuration spaces, Mathematics - General Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold