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Russells Paradox Mugs

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Russell's Paradox – The Set of All Sets Mug
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Description: "The paradox that shook the foundations of mathematics. A gold set half in and half out of itself, among ordinary sets, captures the moment naive set theory broke and modern logic was born. Russell's paradox (1901): the set R of all sets that do not contain themselves. Does R contain R? Shown as a set straddling its own boundary, with R = {x | x ∉ x} and R ∈ R ⟺ R ∉ R. For mathematicians, set theory and logic students, computer scientists, philosophy teachers and fans of the barber paradox. A brainy gift for anyone who loves foundations of math.

Tags: critical thinking, foundations of mathematics, logic, math, naive set theory

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