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Explore a fascinating mathematical puzzle in this 18-minute Numberphile video where mathematician Tom Crawford presents and solves a problem involving infinite hotel keys. Delve into the counterintuitive properties of infinity as Crawford, who teaches at both Oxford and Cambridge Universities, walks through the solution step by step. The video includes links to additional footage that takes the concept even further, as well as connections to other infinity-related content in the Numberphile series. Perfect for mathematics enthusiasts who enjoy mind-bending problems that challenge intuition about infinite sets and logical reasoning.
Syllabus
A Problem with Infinite Hotel Keys - Numberphile
Taught by
Numberphile