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The Banach-Tarski Paradox

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The Banach-Tarski Paradox is the counterintuitive fact that a sphere can be cut into finitely many pieces and reassembled into two copies of itself. Of course, you can’t do this in real life, but it’s more than just a curiosity. In fact, it’s the start of a beautiful mathematical story at the heart of modern group theory, geometry, logic and analysis. I’ll try to tell some of that story.

This talk is part of the Trinity Mathematical Society series.

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