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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Thu, 31 Oct 2024 07:36:49 -0400
Organization: i2pn2 (i2pn.org)
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On 10/31/24 4:17 AM, WM wrote:
> On 31.10.2024 00:49, Jim Burns wrote:
> 
>> There is no n.sequence between 0 and ω
>> without a n+n.sequence between 0 and ω.
>>
>> 'Infinite' does not mean what you want it to mean.
> 
> Then infinity means only an interval on the real line that can be 
> extended by a factor 2 when _all_ its numbers (including all n+n- 
> sequences) are doubled. Hilbert, Cantor, and others call that potential 
> infinite.
> 
> Regards, WM
> 

Your problem is that the only infinity that you logic lets you even try 
to work with is the "potential infinity" (which IS infinity).

Your "actual infinity" is something that can not be handled with logic 
that is finite, because it is too big.

Note, "infinity" is not ON the real line, and thus can not be 
"extended". The real line never gets to infinity, only appraches it.

You need to be looking at the Trans-finite line to have infinity on it, 
and then you need to be using the logic of trans-finite numbers to use 
it, something you refuse to do.