Cantor's diagonal
argument — proving
some infinities
(reals) are strictly
bigger than others
(naturals).

Explain Why Some Infinities Are Bigger Than Others

A proof that infinity comes in different sizes, and you can hold it in your head in five minutes.

Prompt

Explain Cantor's diagonal argument and why it proves that some infinities — like the real numbers — are strictly larger than others — like the natural numbers — even though both sets are infinite.