Re: basic question
Yes, it's not difficult to prove that there isn't a one-to-one correspondence via Cantor's diagnolization trick. But, I know one thing for sure... there's no way I'd figure it out on my own unless I read about his diagonalization and what it meant about cardinalities of infinite sets.
In any case, the reason I brought the whole thing up was to perhaps stir up interest in those who had never heard of the idea of varying degrees of infinity.
RMJ
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