Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Sun, 29 Dec 2024 06:32:43 -0500 Organization: Peripheral Visions Lines: 18 Message-ID: References: <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> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 29 Dec 2024 12:32:46 +0100 (CET) Injection-Info: dont-email.me; posting-host="9de03ea9e1324bb4faf3f5560c04b877"; logging-data="990320"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1802frG5+19F3s6C8nksFdA2TQeyo6cVJA=" Cancel-Lock: sha1:kgCqdWD/No16b2oK4AYxkReuiOc= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2432 Moebius brought next idea : > Am 29.12.2024 um 01:48 schrieb Chris M. Thomasson: > >> Say, 1875520200019832... >> >> Each digit is random. This [represents] a number and it's within the >> infinite set of unsigned integers. > > Nope. Such a "number" is not an integer. > > Hint: Each and every "unsigned" (i.e. non-negative) integer has to be > "represented" by a finite (!) string of digits. > > . > . > . Like "0.999..."?