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Path: ...!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 19:05:39 -0500 Organization: Peripheral Visions Lines: 162 Message-ID: <vh3eso$2f2gh$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vggh9v$27rg8$3@dont-email.me> <ff2c4d7c-33b4-4aad-a6b2-88799097b86b@att.net> <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> 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 01:05:45 +0100 (CET) Injection-Info: dont-email.me; posting-host="904cd1b02cfbac08914b6c1a25a6dff9"; logging-data="2591249"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+lCK5IvxWXh1fCPcpTjkWgLcQlr6eUJzo=" Cancel-Lock: sha1:G7+lT4UGUmBNz7qyZE0kwYGmjMQ= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 7096 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. > > A finite ???????? of ?????? in which > each claim is true.or.not.first.false > is > a finite ???????? of ?????? 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 ?????? are not.first.false and we know it > because > we can see that > no assignment of truth.values exists > in which ???? are first.false. > ? is not first.false in ⟨ ? ?⇒? ? ⟩. > > Some finite ????????? of ?????? 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: Path: eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Jim Burns <james.g.burns@att.net> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Wed, 13 Nov 2024 18:16:37 -0500 Organization: A noiseless patient Spider Lines: 54 Message-ID: <cb0c9917-09a9-45f0-8fe9-cd059fa82dde@att.net> References: <vg7cp8$9jka$1@dont-email.me> <71fea361-0069-4a98-89a4-6de2eef62c5e@att.net> <vggh9v$27rg8$3@dont-email.me> <ff2c4d7c-33b4-4aad-a6b2-88799097b86b@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 14 Nov 2024 00:16:38 +0100 (CET) Injection-Info: dont-email.me; posting-host="334d341cda37fe53cefa5c933e41566d"; logging-data="2571966"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+TnmeLBLaKkDGdK0F1GQrss/LutPYY2wg=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:OTXa1zouUEExzpSLXuGr9Nxn5Co= Content-Language: en-US In-Reply-To: <vh35nd$2d81g$1@dont-email.me> 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. 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. 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 ð—°ð—¹ð—®ð—¶ð—ºð˜€ are not.first.false and we know it because we can see that no assignment of truth.values exists in which ð˜ð—µð—²ð˜† are first.false. ð—¾ is not first.false in ⟨ ð—½ ð—½â‡’𗾠𗾠⟩. Some finite ð˜€ð—²ð—¾ð˜‚ð—²ð—»ð—°ð—²ð˜€ of ð—°ð—¹ð—®ð—¶ð—ºð˜€ 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. ================================================ I follow some of this mostly from context. :)