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Philosophy of mathematics
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{{Short description|none}} <!-- See WP:SDNONE, a description would not be helpful here--> {{Distinguish|Mathematical philosophy (disambiguation){{!}}Mathematical philosophy}} {{multiple issues| {{More citations needed|date=April 2022}} {{Lead too short|date=August 2021}} {{POV|date=November 2022}} {{Missing information|the point of view of notable mathematicians and many important philosophical problems, such as the relationship between mathematics and other sciences|date=November 2022}} }} {{Math topics TOC|expanded=Relations}} '''Philosophy of mathematics''' is the branch of [[philosophy]] that deals with the nature of [[mathematics]] and its relationship to other areas of philosophy, particularly [[epistemology]] and [[metaphysics]]. Central questions posed include whether or not mathematical objects are purely abstract entities or are in some way concrete, and in what the relationship such objects have with physical reality consists.<ref>{{Cite SEP|philosophy-mathematics|Philosophy of Mathematics|Horsten, Leon|January 25, 2022}}</ref> Major themes that are dealt with in philosophy of mathematics include: *''Reality'': The question is whether mathematics is a pure product of human mind or whether it has some reality by itself. *''Logic and rigor'' *''Relationship with physical reality'' *''Relationship with science'' *''Relationship with applications'' *''Mathematical truth'' *''Nature as human activity'' ([[science]], [[the arts|art]], [[game]], or all together)
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