Video: A Hierarchy of Infinities | Infinite Series | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi

There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.

Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com

Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com)

Sources:

Proof that the real numbers are a bigger infinity than the natural numbers: http://germain.its.maine.edu/~farlow/sec25.pdf http://www.people.vcu.edu/~rhammack/BookOfProof/Cardinality.pdf

Thanks James Barnes and Iian Smythe!