Path: ...!news.mixmin.net!news2.arglkargh.de!news.karotte.org!news.space.net!news.muc.de!.POSTED.news.muc.de!not-for-mail From: Alan Mackenzie Newsgroups: comp.theory Subject: Re: The philosophy of logic reformulates existing ideas on a new basis --- infallibly correct Date: Sat, 9 Nov 2024 22:28:15 -0000 (UTC) Organization: muc.de e.V. Message-ID: References: <2a5107f331836f388ad259bf310311a393c00602@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Injection-Date: Sat, 9 Nov 2024 22:28:15 -0000 (UTC) Injection-Info: news.muc.de; posting-host="news.muc.de:2001:608:1000::2"; logging-data="21173"; mail-complaints-to="news-admin@muc.de" User-Agent: tin/2.6.3-20231224 ("Banff") (FreeBSD/14.1-RELEASE-p5 (amd64)) Bytes: 5051 Lines: 104 olcott wrote: > On 11/9/2024 3:45 PM, Alan Mackenzie wrote: >> olcott wrote: >>> On 11/9/2024 2:53 PM, Alan Mackenzie wrote: >>>> olcott wrote: >>>>> On 11/9/2024 1:32 PM, Alan Mackenzie wrote: >>>>>> olcott wrote: [ .... ] >>>> "sound deductive inference" is incoherent garbage. > Is a very stupid thing to say. You lied about it in your usual fashion, and I took your lies at face value. >>>>> A conclusion IS ONLY true when applying truth >>>>> preserving operations to true premises. >>>> I'm not sure what that adds to the argument. >>> It is already specified that a conclusion can only be >>> true when truth preserving operations are applied to >>> expressions of language known to be true. >>> That G=C3=B6del's proof didn't understand that this >>> the actual foundation of mathematical logic is his >>> mistake. >> You're lying by lack of expertise, again. G=C3=B6del understood mathe= matical >> logic full well (indeed, played a significant part in its development)= , > He utterly failed to understand that his understanding > of provable in meta-math cannot mean true in PA unless > also provable in PA according to the deductive inference > foundation of all logic. You're lying in your usual fashion, namely by lack of expertise. It is entirely your lack of understanding. If G=C3=B6del's proof was not rigor= ously correct, his result would have been long discarded. It is correct. >> and he made no mistakes in his proof. Had he done so, they would have >> been identified by other mathematicians by now. > That other people shared his lack of understanding > is no evidence that it is not a lack of understanding. Liar. >>> Unprovable in PA has always meant untrue in PA when >>> viewed within the deductive inference foundation of >>> mathematical logic. >> Yet another lie by lack of expertise.=20 > Truth is not any majority rule. > That everyone else got this wrong > is not my mistake. You're deluded. "Everybody else" did not get this wrong. You are incapable of understanding the issues. >> Unprovable and untrue have been proven to be different things, whether >> in the system of counting numbers or anything else containing it.=20 > Generically epistemology always requires provability. That's too many multi-syllabic words together for either of us to understand any meaning from. > Mathematical knowledge is not allowed to diverge from > the way that knowledge itself generically works. I don't know where you get that from. Who precisely is determining what mathematicians are allowed to do? Epistemologists, perhaps? Get real. >> Whatever you might mean by "the deductive inference foundation of >> mathematical logic" - is that another one of your "trademarks"? > Do you think that mathematical logic just popped > into existence fully formed out of no where? Of course not. It has had a long history of development complete with since discarded dead ends and the occasional triumph, like any other branch of mathematics or science. > All coherent knowledge fits into an inheritance hierarchy > knowledge ontology. A non fit means incoherence. Again, a meaningless concatenation of too many multi-syllabic words. Whatever it is, it's probably not true, and certainly has no relevance to mathematics. > https://en.wikipedia.org/wiki/Ontology_(information_science) > --=20 > Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius > hits a target no one else can see." Arthur Schopenhauer --=20 Alan Mackenzie (Nuremberg, Germany).