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Sir Roger Penrose Faith, Fantasy, and the Big Questions in Modern Physics (#324)

Into the Impossible With Brian Keating

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The Top Exponent of Infinite Numbers

Kantor's argument for showing that there are no more pairs of natural numbers than there are individual numbers. But this kind of counting is not very continuous, because you can see if you want to go from this pair to this one right up at the corner, you have to go all the way down there and all the way back again. So what I want to say is something counting infinite numbers, but where it's really continuous numbers,. You want to make sure that it really is continuous.

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