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Foundations as Superstructure. (Reflections of a practicing mathematician)
Published 28 May 2012 in math.HO | (1205.6044v1)
Abstract: This talk presents foundations of mathematics as a historically variable set of principles appealing to various modes of human intuition and devoid of any prescriptive/prohibitive power. At each turn of history, foundations crystallize the accepted norms of interpersonal and intergenerational transfer and justification of mathematical knowledge.
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