Path: ...!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Sun, 29 Dec 2024 07:34:01 -0500 Organization: i2pn2 (i2pn.org) Message-ID: References: <8d69d6cd-76bc-4dc1-894e-709d044e68a1@att.net> <7356267c-491b-45c2-b86a-d40c45dfa40c@att.net> <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <15f183ae29abb8c09c0915ee3c8355634636da31@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 29 Dec 2024 12:34:02 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1011299"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US Bytes: 2692 Lines: 19 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.