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Infinite Series
How Infinity Explains the Finite
Season 1
Episode 11
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
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What does the inside of a tesseract look like? Pascal’s Triangle can tell us.
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Can you turn your pants inside out without taking your feet off the ground?
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Only 4 steps stand between you and the secrets hidden behind RSA cryptography.
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Can you produce a rational number by exchanging infinitely many digits of pi and e?
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To understand finance, search algorithms and even evolution you need to understand Random
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How logic, induction, visuals, bijections, and a little algebra can prove surprising math theorems.
