『Russell Walks Into a Barbershop』のカバーアート

Russell Walks Into a Barbershop

Russell Walks Into a Barbershop

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A barber shaves every man who does not shave himself, and only those men. So who shaves the barber? Behind this simple puzzle lies a contradiction that shook the foundations of mathematics. This chapter explores Russell’s paradox, the danger of unrestricted set formation and its impact on Frege’s logical program. The response was not to abandon set theory, but to rebuild it with far stricter rules. Sometimes a mathematical crisis does not begin with an impossible equation, but with a perfectly clear definition that turns out to be too dangerous to exist.

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