Positive Infinity forever

Dr. Hawkins dochawk at gmail.com
Fri May 13 14:30:55 EDT 2016


On Fri, May 13, 2016 at 10:18 AM, [-hh] <hh at hh.on-rev.com> wrote:

The following is correct math.
>

Always a *dangerous thing to say.*


>
> Let N be a finite positive number, may be real.
>
> • Infinity > N
> • Infinity = Infinity + N
> • Infinity = Infinity - N
> • Infinity = N * Infinity
>
> But all of you, who play with that divine number:
>
> • Infinity - Infinity
> is NOT consistently definable.
>
>

Well, which infinity?  aleph-naught (A0) is the count of the
integers/wholes/natural

A1=2^A0, the count of the reals.

For that mater 2^AJ=A(J+1)

A1-A0=A1

Aj^n=Aj

A0 is also "countable"; A1 and higher are not.


Yes, I really took a course  on that, from the master himself (Halmos)

-- 
Dr. Richard E. Hawkins, Esq.
(702) 508-8462



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