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Re: aleph-null versus aleph-one

Regarding:

The number of rationals (aleph-null) is indeed much less than the number of
reals (aleph-one).

What does "much" mean in this context?

Thanks in advance,
Larry

*Crudely* speaking, it means that the number of reals is the *exponential*
of the number of rationals (or equivalently, the logarithm of the number
of reals is the number of rationals).

David Bowman
David_Bowman@georgetowncollege.edu