The Emperor's Functions Have No Clothes - Sociology and Pure Mathematics
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Overview
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Watch a 12-minute mathematical critique that challenges the foundational set-theoretic definition of functions in modern mathematics, arguing that the standard definition f: A to B lacks logical coherence. Explore how wishful thinking and denial have sustained what the presenter characterizes as a "logical mirage" in pure mathematics, while discovering surprising potential solutions to escape this mathematical quagmire. Examine the intersection of sociology and pure mathematics as you consider the implications for mathematical rigor and the future of artificial intelligence systems that may soon expose these logical inconsistencies.
Syllabus
The Emperor's functions have no clothes! | Sociology and Pure Maths | N J Wildberger
Taught by
Insights into Mathematics