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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
(extra-ordinary, effectively)
Date: Sat, 4 Jan 2025 08:17:09 -0500
Organization: i2pn2 (i2pn.org)
Message-ID: <48c84c7c2cf784e9e83067f8491e8565ce333ddf@i2pn2.org>
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On 1/4/25 3:52 AM, WM wrote:
> On 04.01.2025 05:06, Richard Damon wrote:
>> On 1/3/25 12:15 PM, WM wrote:
>
>>> Every union of FISONs which stay below a certain threshold stays
>>> below that threshold.
>>
>> Every union of a finite number of FISONs is just an admssion that you
>> can't do the actual union of *ALL* FISONs.
>
> For all FISONs:|ℕ \ {1, 2, 3, ..., n}| = ℵo.
> That means there is no exception.
>
> Regards, WM
>
Just shows your ignorance, and that you don't know what you are talking
about.
Just like every natural number is finite, but the set of *ALL* of them
is infinite, each FISON is finite, but the union of *ALL* of them
creates the full infinite set of Natural Numbers.
But, as you have shown, you are to stupid to see the difference because
you just can't actually define the term you use, but claim they are
"obvious" but that is just your broken naive mathematics that just don't
work under these conditions.
Sorry, your logic has filled your mind with darkness, and it seems you
are just to stupid to understand,