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Path: ...!news.misty.com!weretis.net!feeder6.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: comp.theory,sci.logic Subject: =?UTF-8?B?UmU6IFZlcmlmaWVkIGZhY3QgdGhhdCDEpC5IIOKfqMSk4p+pIOKfqMSk?= =?UTF-8?B?4p+pIGFuZCBIIOKfqMSk4p+pIOKfqMSk4p+pIGhhdmUgZGlmZmVyZW50IGJlaGF2?= =?UTF-8?Q?ior_ZFC_--new_focus--?= Date: Tue, 12 Mar 2024 11:04:00 -0700 Organization: i2pn2 (i2pn.org) Message-ID: <usq5eg$1l201$17@i2pn2.org> References: <usia2e$2f2pd$1@dont-email.me> <usir82$2inqh$2@dont-email.me> <usit21$2j3c8$1@dont-email.me> <usiufa$2j99n$1@dont-email.me> <usiukh$2jaj3$1@dont-email.me> <usiuup$2jdc7$2@dont-email.me> <usj254$2jutc$2@dont-email.me> <usj2e3$2jut2$1@dont-email.me> <usj2je$2jutc$3@dont-email.me> <usj2rs$2jut2$2@dont-email.me> <usj32s$2k5id$1@dont-email.me> <usjd20$2plge$1@dont-email.me> <usjef5$1cf5q$6@i2pn2.org> <usjfj8$2q613$1@dont-email.me> <usjgs6$1cf5q$7@i2pn2.org> <usjhks$2qhfq$1@dont-email.me> <usjj7v$1cf5q$8@i2pn2.org> <uskg1p$30hr1$1@dont-email.me> <KEkHN.386271$vFZa.185803@fx13.iad> <uskog1$32h3c$1@dont-email.me> <uskpe3$32l00$1@dont-email.me> <uskq04$32h3c$3@dont-email.me> <usks70$1enef$1@i2pn2.org> <usktro$33lov$1@dont-email.me> <usl1c7$1enef$9@i2pn2.org> <usll3l$38f21$1@dont-email.me> <lttHN.366350$q3F7.85039@fx45.iad> <uslou1$390q2$1@dont-email.me> <uslpbr$1enef$17@i2pn2.org> <uslu1i$3do6h$1@dont-email.me> <usn8eu$3mf48$3@dont-email.me> <usn9k1$3m7k2$8@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 12 Mar 2024 18:04:00 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1738753"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: <usn9k1$3m7k2$8@dont-email.me> X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US Bytes: 3254 Lines: 35 On 3/11/24 8:56 AM, olcott wrote: > On 3/11/2024 10:36 AM, immibis wrote: >> On 11/03/24 04:33, olcott wrote: >>> Then we are back to undecidability being incorrectly construed >>> as an actual limit to computation. >> >> Proof that a certain thing cannot be computed is always a limit to >> computation. >> > Yet in only the same way that the Liar Paradox > "This sentence is not true." > does not have a truth value that can be computed. > >> For example, you can't compute the colour of the number 4. That is an >> actual limit to computation. >> > > The inability to to the logically impossible is not any actual limit. > If we say that the Halting Problem cannot be solved for the same sort > of reason that Square Circles do not exist then this is not any actual > limit. But SHOWING that something is logically impossible reveals the limitations that were already there. Yes, the Halting Theorem doesn't MAKE the problem impossible, it shows that it always was, and gives us knowledge of that. But, you don't understand the nature of Truth and Knowledge, so that won't make sense. > >> You can't compute the halting problem. That is an actual limit to >> computation. >