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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Replacement of Cardinality
Date: Sat, 17 Aug 2024 10:15:08 -0400
Organization: i2pn2 (i2pn.org)
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On 8/17/24 9:42 AM, WM wrote:
> Le 17/08/2024 à 13:43, joes a écrit :
>> Am Wed, 14 Aug 2024 12:14:21 +0000 schrieb WM:
> 
>>> Every chosen ε > 0 is larger than this interval y.
>> Then y must be 0, if epsilon can't be chosen smaller.
> 
> Try to choose an eps smaller infinitely many unit fractions. Fail.
> 
> Regards, WM
> 
> 

You just confuse your qualifiers as you don't seem to understand how 
logic, or mathematics works.

We can choose an eps smaller than ANY GIVEN value.

That doesn't mean we can choose an eps smaller than ALL values.

That you can't tell the difference, just shows you don't understand the 
properties of unbounded sets, because your logic is too small and blew 
itself up when misapplied, taking your brain out with it.