Applied Philosophy in Mathematics
Yuri Kondratiev
TL;DR
This paper demonstrates how applying philosophical concepts can clarify and justify the topological and geometric properties of specific mathematical structures.
Contribution
It introduces a novel approach of using philosophical analysis to understand and justify mathematical properties.
Findings
Philosophical concepts can elucidate mathematical structures
Application of philosophy provides justification for topological properties
Method bridges philosophy and mathematics for structural analysis
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.
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Taxonomy
TopicsMathematical and Theoretical Analysis