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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Wed, 13 Nov 2024 21:24:18 -0500 Organization: Peripheral Visions Lines: 83 Message-ID: <vh3n0m$2gbt6$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vghuoc$2j3sg$1@dont-email.me> <d79e791d-d670-4a5a-bd26-fdf72bcde6bc@att.net> <vgj4lk$2ova9$3@dont-email.me> <f154138e-4482-4267-9332-151e2fd9f1ba@att.net> <vgkoi7$b5pp$1@solani.org> <6d9f3b10-47ad-459c-9536-098ce91f514b@att.net> <vgni02$3osmc$1@dont-email.me> <16028da0-456b-47ad-8baa-7982a7cbdf10@att.net> <vgpupb$abrr$2@dont-email.me> <fc4df00f-96d1-402f-89d2-739cb8ddd863@att.net> <vgsg04$t7fk$1@dont-email.me> <1fca3a53-1cb4-4fd2-85b6-85e9b69ca23b@att.net> <vgtpmo$153hf$6@dont-email.me> <d17f7542-986e-4897-89b4-dccaf11d5311@att.net> <vh00jj$1m6co$1@dont-email.me> <97304048-24f5-4625-82a7-d17427f2f6e3@att.net> <vh0hta$1pmql$1@dont-email.me> <65febd06-662b-4fa4-9aa8-f7353a79a110@att.net> <vh2k9p$29cql$1@dont-email.me> <157a949d-6c19-4693-8cee-9e067268ae45@att.net> <vh35nd$2d81g$1@dont-email.me> <cb0c9917-09a9-45f0-8fe9-cd059fa82dde@att.net> <vh3eso$2f2gh$1@dont-email.me> <790e797d-e670-4562-86b9-eb3ef492a4ea@att.net> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 14 Nov 2024 03:24:22 +0100 (CET) Injection-Info: dont-email.me; posting-host="904cd1b02cfbac08914b6c1a25a6dff9"; logging-data="2633638"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+I2TJxahCzCPKKVZpKc4P3uI8KmUlrlw0=" Cancel-Lock: sha1:HfOSddppQIhM5odYODrt902Xneg= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 4281 Jim Burns pretended : > On 11/13/2024 7:05 PM, FromTheRafters wrote: >> Jim Burns formulated on Wednesday : >>> On 11/13/2024 4:29 PM, WM wrote: >>>> On 13.11.2024 20:38, Jim Burns wrote: > >>>>> ---- >>>>>> Bob. >>>>> >>>>> KING BOB! >>>>> https://www.youtube.com/watch?v=TjAg-8qqR3g >>>>> >>>>> If, >>>>> in a set A which >>>>> can match one of its proper subsets B, >>>> >>>> That is nonsense too. > > [repaired] > > A finite sequence of claims in which > each claim is true.or.not.first.false > is > a finite sequence of claims in which > each claim is true. > > Some claims are true and we know it > because > they claim that > when we say this, we mean that, > and we, conscious of our own minds, know that > when we say this, we mean that. > > Some claims are not.first.false and we know it > because > we can see that > no assignment of truth.values exists > in which they are first.false. > q is not first.false in ⟨ p p⇒q q ⟩. > > Some finite sequences of claims are > each true.or.not.first.false > and we know it. > > When we know that, > we know each claim is true. > > We know each claim is true, even if > it is a claim physically impossible to check, > like it would be physically impossible > to check each one of infinitely.many. > > We know because > it's not checking the individuals > by which we know. > It's a certain sequence of claims existing > by which we know. > >> In my source window: > > [...] >>> That is nonsense too. >> >> A finite ð˜€ð—²ð—¾ð˜‚ð—²ð—»ð—°ð—² of ð—°ð—¹ð—®ð—¶ð—ºð˜€ in >> which >> each claim is true.or.not.first.false >> is >> a finite ð˜€ð—²ð—¾ð˜‚ð—²ð—»ð—°ð—² of ð—°ð—¹ð—®ð—¶ð—ºð˜€ in >> which >> each claim is true. > [...] > >> ================================================ >> I follow some of this mostly from context. :) > > Sorry about that. > The other fonts weren't strictly necessary, > I just had a brainstorm over > how to (maybe) explain logical validity better, > and I couldn't resist. No harm, I just thought you might like to see how it looks on my viewing pane.