Path: news.eternal-september.org!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sun, 12 Jan 2025 13:32:06 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <407df8b88329b5415ce5d08081efcc895a2aa91d@i2pn2.org> References: <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <417ff6da-86ee-4b3a-b07a-9c6a8eb31368@att.net> <07258ab9-eee1-4aae-902a-ba39247d5942@att.net> <1ebbc233d6bab7878b69cae3eda48c7bbfd07f88@i2pn2.org> <4c89380adaad983f24d5d6a75842aaabbd1adced@i2pn2.org> <7fc40cc2dbd42016a62aa0374d545e9e787a7da3@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 12 Jan 2025 13:32:06 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3255260"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Am Sun, 12 Jan 2025 13:41:27 +0100 schrieb WM: > On 12.01.2025 12:59, FromTheRafters wrote: >> WM submitted this idea : >>> On 11.01.2025 15:09, FromTheRafters wrote: >>>> joes laid this down on his screen : *their >>>>> Am Sat, 11 Jan 2025 11:04:56 +0100 schrieb WM: >>> In actual infinity all numbers are present. No one is missing, >>> according to Cantor. None can be added. >>> If you multiply every number by 2, then larger even numbers than all >>> hitherto present even numbers are created because the number of >>> numbers remains constant but the odd numbers disappear. >> Wrong, the numbers are not 'created' as they already existed. > All existing numbers have been doubled. That creates a new set. It does not create new numbers. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.