Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA

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Sujet : Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA
De : polcott333 (at) *nospam* gmail.com (olcott)
Groupes : sci.logic comp.theory comp.ai.philosophy sci.math
Date : 04. Jul 2026, 02:08:13
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <1129mdu$3qbjl$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
User-Agent : Mozilla Thunderbird
On 7/3/2026 3:32 PM, André G. Isaak wrote:
On 2026-07-03 14:13, olcott wrote:
On 7/3/2026 1:37 PM, André G. Isaak wrote:
On 2026-07-03 12:20, olcott wrote:
On 7/3/2026 12:35 PM, André G. Isaak wrote:
>
And that differs from claiming that Q is incomplete exactly how...?
>
>
The base definition of "incomplete" means that it is
not operating according to design spec.
>
And where exactly do you get this 'base definition' from? It certainly does not correspond to any definition that I am aware of.
>
>
An motor vehicle that is missing a motor is incomplete.
A bicycle that is missing a motor is NOT incomplete.
>
Incomplete is an adjective that describes something
missing essential parts, lacking necessary details,
or left unfinished.
 That's *one* definition of incomplete. It's hardly *the* definition and you have provided no reason to think that it is the 'base definition' whatever that might mean to you.
 
The parent node of an inheritance hierarchy.

terms of the art
are often misleading, thus deceptive.
>
Terms of the art are what they are. They are precisely defined so there is no doubt about what they mean. So how can they therefore be misleading. It's colloquial terms that have the potential to be misleading since they are often not precisely defined.
>
>
These TOTA that diverge from their base meanings confuse
people into thinking that computation is limited.
 No. It confuses *you*. The vast majority of people are not confused by this. And stating that Q is incomplete has nothing to do with computation. Computation is a separate field.
 
It is a shade of a nuance of the same reasoning that
incorrectly determines that computation is limited.
Computation is in its most basic essence applying
finite string transformations to inputs to derive
outputs.
Anything that cannot be so computed is out-of-scope
of computation is the same way that a Turing machine
cannot bake a birthday cake.

André
 
The
inability to correctly compute the numerical square-root
of a dead chicken does not make computation incomplete
or limited.
>
When we start with an exhaustively complete list of
empirical "atomic facts" of general knowledge (combining
the analytic/synthetic distinction into one single system)
then any expression x that cannot be derived by semantic
entailment expressed syntactically in this system is
not an element of the body of general knowledge expressed
in language.
>
Q isn't concerned with general knowledge (expressed in language or otherwise). It doesn't contain any notion of 'atomic fact'. So none of this is relevant to the question of whether Q is complete.
>
André
>
>
It has the "atomic facts" of Q.
Any expression that cannot reach these "atomic fact"
axioms is ungrounded in the atomic base of Q.
>
 
--
Copyright 2026 Olcott
My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.
The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.
My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.
(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

Date Sujet#  Auteur
20 Apr 26 * Within Proof Theoretic Semantics Gödel's G has no meaning in PA286olcott
21 Apr 26 +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA239Mikko
21 Apr 26 i`* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA238olcott
22 Apr 26 i `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA237Mikko
22 Apr 26 i  `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA236olcott
22 Apr 26 i   +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA5Mikko
22 Apr 26 i   i`* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA4olcott
23 Apr 26 i   i `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA3Mikko
23 Apr 26 i   i  `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA2olcott
24 Apr 26 i   i   `- Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA1Mikko
23 Apr 26 i   `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA230André G. Isaak
23 Apr 26 i    +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA4olcott
24 Apr 26 i    i`* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA3André G. Isaak
25 Apr 26 i    i `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA2Chris M. Thomasson
25 Apr 26 i    i  `- Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA1Chris M. Thomasson
23 Apr 26 i    +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA2Ross Finlayson
23 Apr 26 i    i`- Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA1Ross Finlayson
20 Jun 26 i    `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA223Tristan Wibberley
20 Jun 26 i     `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA222olcott
27 Jun 26 i      `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA221Tristan Wibberley
27 Jun 26 i       +- Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA1Ross Finlayson
27 Jun 26 i       `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA219polcott
28 Jun 26 i        +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA216Mikko
29 Jun 26 i        i`* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA215olcott
29 Jun07:14 i        i `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA214Mikko
29 Jun14:29 i        i  `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA213olcott
29 Jun18:05 i        i   +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA196André G. Isaak
29 Jun19:16 i        i   i`* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA195olcott
29 Jun19:29 i        i   i `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA194André G. Isaak
29 Jun20:08 i        i   i  `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA193olcott
29 Jun20:33 i        i   i   `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA192André G. Isaak
29 Jun20:47 i        i   i    `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA191olcott
29 Jun21:02 i        i   i     `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA190André G. Isaak
29 Jun21:06 i        i   i      `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA189olcott
29 Jun21:58 i        i   i       `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA188André G. Isaak
29 Jun22:10 i        i   i        `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA187olcott
29 Jun22:18 i        i   i         `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA186André G. Isaak
29 Jun22:39 i        i   i          `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA185olcott
29 Jun23:25 i        i   i           `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA184André G. Isaak
29 Jun23:38 i        i   i            `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA183olcott
30 Jun00:03 i        i   i             `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA182André G. Isaak
30 Jun00:36 i        i   i              `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA181olcott
30 Jun00:45 i        i   i               `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA180André G. Isaak
30 Jun01:37 i        i   i                `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA179olcott
30 Jun02:01 i        i   i                 `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA178André G. Isaak
30 Jun02:19 i        i   i                  `* The simple essence of Proof Theoretic Semantics177olcott
30 Jun02:54 i        i   i                   `* Re: The simple essence of Proof Theoretic Semantics176André G. Isaak
30 Jun03:17 i        i   i                    +* Re: The simple essence of Proof Theoretic Semantics174olcott
30 Jun03:31 i        i   i                    i`* Re: The simple essence of Proof Theoretic Semantics173André G. Isaak
30 Jun03:42 i        i   i                    i `* Re: The simple essence of Proof Theoretic Semantics172olcott
30 Jun03:49 i        i   i                    i  `* Re: The simple essence of Proof Theoretic Semantics171André G. Isaak
30 Jun04:06 i        i   i                    i   `* Re: The simple essence of Proof Theoretic Semantics170olcott
30 Jun22:18 i        i   i                    i    `* Re: The simple essence of Proof Theoretic Semantics169André G. Isaak
30 Jun22:45 i        i   i                    i     +* Re: The simple essence of Proof Theoretic Semantics162olcott
30 Jun22:56 i        i   i                    i     i`* Re: The simple essence of Proof Theoretic Semantics161André G. Isaak
30 Jun23:04 i        i   i                    i     i `* Re: The simple essence of Proof Theoretic Semantics160olcott
1 Jul03:34 i        i   i                    i     i  `* Re: The simple essence of Proof Theoretic Semantics159dbush
1 Jul03:57 i        i   i                    i     i   `* Re: The simple essence of Proof Theoretic Semantics158olcott
1 Jul04:02 i        i   i                    i     i    +* Re: The simple essence of Proof Theoretic Semantics155dbush
1 Jul04:10 i        i   i                    i     i    i`* Re: The simple essence of Proof Theoretic Semantics154olcott
1 Jul04:17 i        i   i                    i     i    i +* Re: The simple essence of Proof Theoretic Semantics151dbush
1 Jul04:49 i        i   i                    i     i    i i`* Re: The simple essence of Proof Theoretic Semantics150olcott
1 Jul05:01 i        i   i                    i     i    i i `* Re: The simple essence of Proof Theoretic Semantics149dbush
1 Jul05:20 i        i   i                    i     i    i i  `* Re: The simple essence of Proof Theoretic Semantics148olcott
1 Jul12:55 i        i   i                    i     i    i i   `* Re: The simple essence of Proof Theoretic Semantics147dbush
1 Jul15:40 i        i   i                    i     i    i i    `* Re: The simple essence of Proof Theoretic Semantics146olcott
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1 Jul19:01 i        i   i                    i     i    i i      `* Re: The simple essence of Proof Theoretic Semantics144olcott
1 Jul19:10 i        i   i                    i     i    i i       +* Re: The simple essence of Proof Theoretic Semantics34André G. Isaak
1 Jul19:20 i        i   i                    i     i    i i       i`* Re: The simple essence of Proof Theoretic Semantics33olcott
1 Jul19:34 i        i   i                    i     i    i i       i +* Re: The simple essence of Proof Theoretic Semantics4dbush
1 Jul19:53 i        i   i                    i     i    i i       i i`* Re: The simple essence of Proof Theoretic Semantics3olcott
1 Jul19:57 i        i   i                    i     i    i i       i i `* Re: The simple essence of Proof Theoretic Semantics2dbush
1 Jul20:06 i        i   i                    i     i    i i       i i  `- Re: The simple essence of Proof Theoretic Semantics1olcott
1 Jul19:40 i        i   i                    i     i    i i       i `* Re: The simple essence of Proof Theoretic Semantics28André G. Isaak
1 Jul19:50 i        i   i                    i     i    i i       i  `* Re: The simple essence of Proof Theoretic Semantics27olcott
1 Jul20:23 i        i   i                    i     i    i i       i   `* Re: The simple essence of Proof Theoretic Semantics26André G. Isaak
1 Jul20:47 i        i   i                    i     i    i i       i    `* Re: The simple essence of Proof Theoretic Semantics25olcott
1 Jul21:11 i        i   i                    i     i    i i       i     `* Re: The simple essence of Proof Theoretic Semantics24André G. Isaak
1 Jul21:28 i        i   i                    i     i    i i       i      `* Re: The simple essence of Proof Theoretic Semantics23olcott
1 Jul21:50 i        i   i                    i     i    i i       i       `* Re: The simple essence of Proof Theoretic Semantics22André G. Isaak
1 Jul21:52 i        i   i                    i     i    i i       i        `* Re: The simple essence of Proof Theoretic Semantics21olcott
1 Jul22:10 i        i   i                    i     i    i i       i         `* Re: The simple essence of Proof Theoretic Semantics20André G. Isaak
1 Jul23:43 i        i   i                    i     i    i i       i          `* Re: The simple essence of Proof Theoretic Semantics19olcott
2 Jul00:09 i        i   i                    i     i    i i       i           `* Re: The simple essence of Proof Theoretic Semantics18André G. Isaak
2 Jul01:05 i        i   i                    i     i    i i       i            `* Re: The simple essence of Proof Theoretic Semantics17olcott
2 Jul01:39 i        i   i                    i     i    i i       i             `* Re: The simple essence of Proof Theoretic Semantics16André G. Isaak
2 Jul02:01 i        i   i                    i     i    i i       i              `* Re: The simple essence of Proof Theoretic Semantics15olcott
2 Jul02:23 i        i   i                    i     i    i i       i               `* Re: The simple essence of Proof Theoretic Semantics14André G. Isaak
2 Jul03:03 i        i   i                    i     i    i i       i                `* Re: The simple essence of Proof Theoretic Semantics13olcott
3 Jul06:02 i        i   i                    i     i    i i       i                 `* Re: The simple essence of Proof Theoretic Semantics12olcott
3 Jul15:45 i        i   i                    i     i    i i       i                  `* Re: The simple essence of Proof Theoretic Semantics11André G. Isaak
3 Jul17:48 i        i   i                    i     i    i i       i                   `* Re: The simple essence of Proof Theoretic Semantics10olcott
3 Jul18:17 i        i   i                    i     i    i i       i                    `* Re: The simple essence of Proof Theoretic Semantics9André G. Isaak
3 Jul19:12 i        i   i                    i     i    i i       i                     `* Re: The simple essence of Proof Theoretic Semantics8olcott
3 Jul19:21 i        i   i                    i     i    i i       i                      `* Re: The simple essence of Proof Theoretic Semantics7André G. Isaak
3 Jul19:38 i        i   i                    i     i    i i       i                       `* Re: The simple essence of Proof Theoretic Semantics6olcott
3 Jul19:46 i        i   i                    i     i    i i       i                        +* Re: The simple essence of Proof Theoretic Semantics4André G. Isaak
3 Jul21:43 i        i   i                    i     i    i i       i                        i`* Re: The simple essence of Proof Theoretic Semantics3olcott
3 Jul22:22 i        i   i                    i     i    i i       i                        i `* Re: The simple essence of Proof Theoretic Semantics2André G. Isaak
4 Jul02:11 i        i   i                    i     i    i i       i                        i  `- Re: The simple essence of Proof Theoretic Semantics1olcott
4 Jul09:49 i        i   i                    i     i    i i       i                        `- Re: The simple essence of Proof Theoretic Semantics1Mikko
1 Jul19:15 i        i   i                    i     i    i i       `* Re: The simple essence of Proof Theoretic Semantics109dbush
1 Jul04:31 i        i   i                    i     i    i `* Re: The simple essence of Proof Theoretic Semantics2André G. Isaak
1 Jul04:04 i        i   i                    i     i    `* Re: The simple essence of Proof Theoretic Semantics2dbush
30 Jun22:56 i        i   i                    i     `* Re: The simple essence of Proof Theoretic Semantics6olcott
30 Jun03:26 i        i   i                    `- Re: The simple essence of Proof Theoretic Semantics1olcott
30 Jun09:18 i        i   `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA16Mikko
29 Jun10:50 i        `* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA2Tristan Wibberley
26 Apr 26 +* Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA45olcott
30 Jun06:54 `- Re: Within Proof Theoretic Semantics Gödel's G has no meaning in PA1Tristan Wibberley

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