Ad Infinitum: Exploring Infinity

Infinity. Most kids first learn about this neverending concept when double and triple jinx don't seem to do enough anymore. There are infinity pools, the Infnity Engine, and even an Inifinity War. But how does infinity differ from the counting numbers and the familiar rules that govern them? In this episode, Pete and Noah use the paradox of Hilbert's Grand Hotel to explore infinity and discuss some of its interesting quirks.

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Questions Answered in the Episode: • What is Hilbert's Paradox of the Grand Hotel and how does it demonstrate the properties of infinite sets? • What is the difference between countable and uncountable infinity in mathematics?