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From: Alan Mackenzie <acm@muc.de>
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: <vgonlv$kll$4@news.muc.de>
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olcott <polcott333@gmail.com> wrote:
> On 11/9/2024 3:45 PM, Alan Mackenzie wrote:
>> olcott <polcott333@gmail.com> wrote:
>>> On 11/9/2024 2:53 PM, Alan Mackenzie wrote:
>>>> olcott <polcott333@gmail.com> wrote:
>>>>> On 11/9/2024 1:32 PM, Alan Mackenzie wrote:
>>>>>> olcott <polcott333@gmail.com> 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 <is>
>>> 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).