Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] Date: Tue, 25 Mar 2025 22:20:56 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <0b8644b2-7027-420e-b187-8214daaf9e3b@att.net> <03b5612b3dc44f246b57ec258971a16823e678f9@i2pn2.org> <1299efece1e9894141d38a848b0d53c3a051a467@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Tue, 25 Mar 2025 22:20:56 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1744010"; 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 Bytes: 2424 Lines: 22 Am Tue, 25 Mar 2025 20:16:10 +0100 schrieb WM: > On 25.03.2025 09:18, joes wrote: >> Am Mon, 24 Mar 2025 20:40:07 +0100 schrieb WM: >>> On 24.03.2025 02:11, joes wrote: >>>> Am Sun, 23 Mar 2025 18:18:15 +0100 schrieb WM: >>> >>>>> The "bijection" is invalid because there are always infinitely many >>>>> elements following after every defined pair. >>>> Which are also bijected. >>> How can you prove that? >> How can you disprove it? > Knowing that every pair belongs to a finite initial segment. Of course it does. > Upon it > follow infinitely many elements which cannot be proven to have partners > in the other set. Neither can they be disproven. -- 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.