Not all infinities are created equal

A Hierarchy of Infinities | Infinite Series | PBS Digital Studios · 8:05 · Video: PBS Infinite Series · Watch at the source

In short: While we often think of infinity as a single, endless concept, mathematics reveals a complex structure of different scales. This video explores how some infinite sets are fundamentally larger than others.

Mathematician Kelsey Houston-ണ്ട Edwards explains the concept of the Hierarchy of Infinities, demonstrating that infinity is not a uniform value. The presentation provides a mathematical proof showing that the set of real numbers represents a larger infinity than the set of natural numbers.

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