A Peculiar Connection between the Axiom of Choice and Infinite Hat Games
This video describes several infinite hat-color-guessing puzzles and their solutions from the paper "A Peculiar Connection Between the Axiom of Choice and Predicting the Future", Hardin and Taylor, 2008.

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Primitive Recursive Arithmetic

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Death by infinity puzzles and the Axiom of Choice

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An impossible game at the heart of math

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Generating the Primitive Recursive Functions

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Bending Space itself | The Jacobian

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How the Axiom of Choice Gives Sizeless Sets | Infinite Series

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Kummer's Theorem

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Bourbaki's Definition of Cardinality

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Why Evolution Split Your Brain In Half – Brain Asymmetry with Jim Al-Khalili

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Solving the INFINITE Trolley Problem!

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The Axiom of Choice: History, Intuition, and Conflict

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Biggest Breakthroughs in Math: 2024

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Something strange happens when you "bump the base"

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The Axiom of Choice

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Let's Solve the Interview Puzzle that Baffled Me

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Limitations of Primitive Recursive Functions

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The Strange Math That Predicts (Almost) Anything

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Terence Tao: Nobody Understands Why AI Actually Works
![Set Theory | Lesson 9: Axiom of Choice [CC]](https://i.ytimg.com/vi/ActkCEU3eCQ/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYNCAyKH8wDw==&rs=AOn4CLAkKbD-CSLbokemW-5pxPJJW3OlRQ)
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Set Theory | Lesson 9: Axiom of Choice [CC]

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