
How Can Some Infinities Be Bigger Than Others?
The Joy of Why
The Problem With Counter Examples
Hilbert was a great mathematician of this maybe a little bit later generation, but not much later. He thought it was going to turn out to be true, that there was no infinity sandwichable between those two that he already knew about. And the thing is it survives the test of looking for counter examples. Just the mere fact that some of them are describable makes them, in a sense, not good enough.
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