David Mertz writes:
 > On Sun, Oct 11, 2020, 9:07 PM Steven D'Aprano
 > 
 > > Even in the cardinal numbers, two times infinity (aleph-0) is just
 > > aleph-0; however you might be pleased to know that two to the power of
 > > aleph-0 is aleph-1.
 > >
 > 
 > Oh... So you're one of those who believe the Continuum Hypothesis :-).

As any good defense lawyer can tell you, you don't need to believe
something to use it to prove something else. :-)

 > I was going to mention Surreal Numbers also, but I see you touched
 > on it.

As far as what Steven discussed, the ordinal numbers have the same
properties (except I've never heard of ω-1 in a discussion of
ordinals, but it should work I think).  (Maybe the surreals are
constructed from the ordinals as the reals are constrcuted from the
cardinals?)
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