[FRIAM] square land math question

[Frank Wimberly]

Glen,

I am aware of the hierarchy of infinities.  Aleph0 is the cardinality of
the integers.  Aleph1 is the cardinality of the power set of the integers
which is the cardinality of the real numbers (that's a theorem which is
easy but I don't feel like typing it on a cellphone keyboard).  Aleph2 is
the cardinality of the power set of aleph1, etc.

In my definition of 1/infinity, assume infinity means aleph0.  But I
believe it works for any infinite number.  That last word is important.

---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Thu, Jul 23, 2020, 11:26 AM uǝlƃ ↙↙↙ <gepropella at gmail.com> wrote:

> Again, you're making unjustified claims. This argues that all infinities
> are the same and leaves someone to stew in their juices about whether
> infinities are actual or potential. If they're potential, then 1/∞ is
> *undefined* and we only *approach* 0. If they're actual, then 1/∞ is an
> actual number and we can compare it's size to other very small numbers.
>
> I think most mathematicians these days, accept the actuality of
> infinitesimals and some might be larger or smaller than others in the same
> way that some infinities are larger than others.
>
> Talking the way you're talking sweeps Cody's question under the rug
> without answering it.
>
> On 7/23/20 10:21 AM, Frank Wimberly wrote:
> > 1/infinity is the limit of 1/x as x goes to infinity, which is zero.
>
> --
> ↙↙↙ uǝlƃ
>
> - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. .
> FRIAM Applied Complexity Group listserv
> Zoom Fridays 9:30a-12p Mtn GMT-6  bit.ly/virtualfriam
> un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com
> archives: http://friam.471366.n2.nabble.com/
> FRIAM-COMIC <http://friam.471366.n2.nabble.com/FRIAM-COMIC>
> http://friam-comic.blogspot.com/
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://redfish.com/pipermail/friam_redfish.com/attachments/20200723/f7e0702d/attachment.html>