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Philosophy of Science

Journal

Journal of Humanistic Mathematics

2019

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Full-Text Articles in Philosophy

Maths Living In Social Arenas, From Practice To Foundations, Nigel Vinckier Jul 2019

Maths Living In Social Arenas, From Practice To Foundations, Nigel Vinckier

Journal of Humanistic Mathematics

Maths comes to life in human interaction. This has consequences for the mathematics itself. This paper discusses how this ``coming to life'' of mathematics in different social arenas influences the foundations of maths. We will argue that this influence is profound, to the extent that it is hard to upkeep the idea that there is or should be one foundation on which all mathematics can be built.