Does infinity come in different sizes?

‘To infinity and beyond!’ ... Buzz Lightyear gives Woody a lift in Toy Story. Photograph: Snap/Rex Features

Are there different sizes of infinity? Apparently there is an infinite series of prime numbers, but also an infinite series of “normal” (non-prime) numbers; but at any given time there must be more normal numbers than prime numbers, however long you count for.

Ray Crabtree

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