Sujet : Re: Mathematical incompleteness has always been a misconception
De : polcott333 (at) *nospam* gmail.com (olcott)
Groupes : sci.logicDate : 04. Feb 2025, 17:11:08
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vnte6s$1tra8$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Mozilla Thunderbird
On 2/4/2025 3:22 AM, Mikko wrote:
On 2025-02-03 16:54:08 +0000, olcott said:
On 2/3/2025 9:07 AM, Mikko wrote:
On 2025-02-03 03:30:46 +0000, olcott said:
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On 2/2/2025 3:27 AM, Mikko wrote:
On 2025-02-01 14:09:54 +0000, olcott said:
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On 2/1/2025 3:19 AM, Mikko wrote:
On 2025-01-31 13:57:02 +0000, olcott said:
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On 1/31/2025 3:24 AM, Mikko wrote:
On 2025-01-30 23:10:18 +0000, olcott said:
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Within the entire body of analytical truth any expression of language that has no sequence of formalized semantic deductive inference steps from the formalized semantic foundational truths of this system are simply untrue in this system. (Isomorphic to provable from axioms).
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If there is a misconception then you have misconceived something. It is well
known that it is possible to construct a formal theory where some formulas
are neither provble nor disprovable.
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This is well known.
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And well undeerstood. The claim on the subject line is false.
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a fact or piece of information that shows that something
exists or is true:
https://dictionary.cambridge.org/us/dictionary/english/proof
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We require that terms of art are used with their term-of-art meaning and
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The fundamental base meaning of Truth[0] itself remains the same
no matter what idiomatic meanings say.
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Irrelevant as the subject line does not mention truth.
Therefore, no need to revise my initial comment.
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The notion of truth is entailed by the subject line:
misconception means ~True.
The title line means that something is misunderstood but that something
is not the meaning of "true".
It is untrue because it is misunderstood.
Misunderstood is not any subtype of true.
But the subject line is false. Mathematical
incompleteness is sometimes misunderstood but not always. Its definition
is clear but some people make invalid inferences.
When the notion of provable[math] contradicts the notion of provable[0]
then this diverges from how truth itself actually works.
-- Copyright 2024 Olcott "Talent hits a target no one else can hit; Geniushits a target no one else can see." Arthur Schopenhauer
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