Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively)
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 29. Dec 2024, 13:34:01
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <c952199b5513be28bb1f5c8b374a2d7a77470743@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
User-Agent : Mozilla Thunderbird
On 12/29/24 6:01 AM, WM wrote:
On 28.12.2024 20:17, Richard Damon wrote:
On 12/28/24 11:50 AM, WM wrote:
Every Natural Number is less that almost all other natural numbers, so its %-tile of progress is effectively 0, but together they make up the whole infinite set.
All definable numbers (FISONs) stay below 1 %. Every union of "below 1 %" stays below 1 %.
Regards, WM
Since 0 is Less than 1, you are sort of correct, but that fact doesn't prove your claim.
The problem is that when you get to *ALL* you are now talking abut infinite mathematics, which your logic just can't handle, because you, a finite being, can't do all of an infinite set individually, so it isn;t something you can talk about.