Re: Is one-to-one mapping valid for comparing infinite-sized sets?

In article <48ecf4ae$0$6582$9b4e6d93@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Salviati" <eckard.blumschein@xxxxxxxx> wrote:

"David R Tribble" <david@xxxxxxxxxxx> schrieb im Newsbeitrag
news:f04e23d0-1e4d-4ab4-94f2-7f7edce50ce3@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Salviati wrote:
I agree that the quality of being a countable number is different from
the
quality of not having a finite numerical representation. I would accept
any
two names, even aleph_0 and aleph_1. However, I am not aware of any
evidence
or application that would justify further alephs.

The Axiom of Powerset?

2^oo = oo
Non-linear functions like exp, sin, cos are based on reals. The property of
being uncountable does neither have nor require any comparative. Something
is either countable or not.

It certainly can be compared to those things which ARE countable, and
found to be different.
.

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