Re: Infinity can not exist

From: Fletch F. Fletch (notme31415_at_yahoo.com)
Date: 07/03/04 

Date: Sat, 03 Jul 2004 02:08:35 GMT

David C. Ullrich wrote:
> On 2 Jul 2004 10:53:32 -0700, japcuh@gmail.com (Japcuh) wrote:
>
>> It is impossible for infinity to exist, because in order for infinity
>> to exist, everything possible must happen.
>
> No, that doesn't follow.
>
> To give analogy using numbers instead of events,
> the set {2,4,6,8,..} is infinite, even though it
> doesn't contain every number.

Question on a random, useless thought:

One cannot reach the transfinite numbers from the finites with arithmetic
operations (I believe). And from aleph null, you cannot reach the other
alephs with mulitplication or addition, but you can with exponentiation
(power set). Are there infinities so large that you cannot reach them from
the transfinites with arithmetic operations?

Slainte,
Fletch

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