Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism)

From	André G. Isaak <agisaak@gm.invalid>
Newsgroups	comp.theory, comp.ai.philosophy, comp.ai.nat-lang, sci.lang.semantics
Subject	Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism)
Date	2020-06-29 21:21 -0600
Organization	Christians and Atheists United Against Creeping Agnosticism
Message-ID	<rdeb4f$6qm$1@dont-email.me> (permalink)
References	(18 earlier) <07ydnSNc1sJB1WfDnZ2dnUU7-fXNnZ2d@giganews.com> <rddi3u$l0g$1@dont-email.me> <7pWdneIoDPX1zGfDnZ2dnUU7-XXNnZ2d@giganews.com> <rddlh5$av3$1@dont-email.me> <W7OdnaXQbJ80-2fDnZ2dnUU7-fGdnZ2d@giganews.com>

Cross-posted to 4 groups.

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On 2020-06-29 16:09, olcott wrote:
> On 6/29/2020 4:13 PM, André G. Isaak wrote:
>> On 2020-06-29 14:39, olcott wrote:
>>> On 6/29/2020 3:14 PM, André G. Isaak wrote:
>>>> On 2020-06-29 14:02, olcott wrote:
>>>>> On 6/29/2020 2:52 PM, André G. Isaak wrote:
>>>>>> On 2020-06-29 13:33, olcott wrote:
>>>>>>> On 6/29/2020 1:33 PM, André G. Isaak wrote:
>>>>>>>> On 2020-06-29 12:28, olcott wrote:
>>>>>>>>> On 6/29/2020 12:57 AM, André G. Isaak wrote:
>>>>>>>>>> On 2020-06-28 23:48, olcott wrote:
>>>>>>>>>>> On 6/28/2020 10:59 PM, André G. Isaak wrote:
>>>>>>>>>>>> On 2020-06-28 21:27, André G. Isaak wrote:
>>>>>>>>>>>>> On 2020-06-28 20:45, olcott wrote:
>>>>>>>>>>>>
>>>>>>>>>>>>>> Not being able to prove that self contradictory WFF are 
>>>>>>>>>>>>>> true is not kind of {not having all the necessary or 
>>>>>>>>>>>>>> appropriate parts} and never has been.
>>>>>>>>>>>>>
>>>>>>>>>>>>> That's the second time you used that expression. What is 
>>>>>>>>>>>>> that even supposed to mean? It isn't English.
>>>>>>>>>>>>
>>>>>>>>>>>> Reflecting on this further, it seems like you are objecting 
>>>>>>>>>>>> to the fact that 'incompleteness' doesn't mean "not having 
>>>>>>>>>>>> all the necessary or appropriate parts" as in "the 
>>>>>>>>>>>> construction kit I purchased was incomplete -- it was 
>>>>>>>>>>>> missing three parts". (though why you use braces is beyond me).
>>>>>>>>>>>>
>>>>>>>>>>>> 'Incompleteness' in mathematics is a technical term. It has 
>>>>>>>>>>>> never meant, nor has it ever been claimed to mean 'not 
>>>>>>>>>>>> having all the necessary or appropriate parts'.
>>>>>>>>>>>>
>>>>>>>>>>>> When a mathematician talks about 'fields', they mean 
>>>>>>>>>>>> something entirely different than what a farmer or physicist 
>>>>>>>>>>>> means.
>>>>>>>>>>>>
>>>>>>>>>>>> When a mathematician talks about 'rings', they mean 
>>>>>>>>>>>> something entirely different than what a jeweler means.
>>>>>>>>>>>>
>>>>>>>>>>>> When a rock musician talks about an 'axe', they mean 
>>>>>>>>>>>> something entirely different from what a lumberjack means.
>>>>>>>>>>>>
>>>>>>>>>>>> If you want to talk about math, you need to use terms *as 
>>>>>>>>>>>> mathematicians* use those terms. Usages in other domains are 
>>>>>>>>>>>> entirely irrelevant.
>>>>>>>>>>>>
>>>>>>>>>>>> André
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> What do you think that it does mean?
>>>>>>>>>>
>>>>>>>>>> A formal system is complete if every true statement can be 
>>>>>>>>>> derived as a theorem.
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> So then is this true or false?
>>>>>>>>> ∃T ∈ Formal_Systems ∃φ ∈ WFF(T) ((T ⊬ φ) ∧ (T ⊬ ¬φ))
>>>>>>>>
>>>>>>>>
>>>>>>>> ∃T ∈ Formal_Systems is meaningless since Formal_Systems is not a 
>>>>>>>> well-defined set.
>>>>>>>>
>>>>>>>> Gödel's theorem proves that every formal system which satisfies 
>>>>>>>> certain properties 
>>>>>>>
>>>>>>> In other words he is specifying existential quantification:
>>>>>>> ∃T ∈ Formal_Systems
>>>>>>
>>>>>> "Formal systems" aren't the sort of thing one quantifies over. If 
>>>>>> it makes you happy you can view it that way, but that's not accurate.
>>>>>>
>>>>>
>>>>> If it was true that unconventional usage are incorrect on the basis 
>>>>> that they are unconventional then every new innovation would be 
>>>>> incorrect on the basis that it is unconventional.
>>>>>
>>>>>> Quantification is something that happens *within* a particular 
>>>>>> system. That system isn't going to have access to some set of all 
>>>>>> the other possible formal theories out there.
>>>>>>
>>>>>>>> will be incomplete. So for each system T which satisfies those 
>>>>>>>> properties, then ∃φ((T ⊬ φ) ∧ (T ⊬ ¬φ)) will be true.
>>>>>>>>
>>>>>>>> André
>>>>>>>>
>>>>>>>
>>>>>>> So you are saying that this is true:
>>>>>>> .. ∃T ∈ Formal_Systems ∃φ ∈ WFF(T) ((T ⊬ φ) ∧ (T ⊬ ¬φ))
>>>>>>
>>>>>> I'm saying exactly what I said. If you're determined to add that 
>>>>>> completely nonstandard bit at the beginning, then fine, but it 
>>>>>> really serves no purpose unless you actually define the set of 
>>>>>> Formal_Systems.
>>>>>>
>>>>>>> How can we formally show that it is true?
>>>>>>
>>>>>> I already gave you a link to Gödel's paper. Read it. That's the 
>>>>>> whole point of the paper.
>>>>>>
>>>>>> André
>>>>>>
>>>>>>
>>>>>
>>>>> I am asserting that it cannot possibly be proved true because any 
>>>>> proof would be self contradictory therefore it is necessarily untrue.
>>>>
>>>>
>>>> You can assert this all you want. The assertion is simply false.
>>>>
>>>> I can prove it to be true by simply offering an example.
>>>>
>>>> You cannot prove Euclid's P5 from P1-P4.
>>>>
>>>> You cannot prove ¬P5 from P1-P4.
>>>>
>>>> Therefore a system consisting of the axioms P1-P4 can neither prove 
>>>> P5 nor disprove P5. Ergo there exists in this system some φ such 
>>>> that ⊬φ ∧ ⊬¬φ.
>>>>
>>>> How is the above claim self-contradictory?
>>>>
>>>> André
>>>>
>>>
>>>
>>> That is not analogous at all. Axioms are stipulated to be true thus 
>>> proven to be true on the basis of this stipulation. There is no 
>>> requirement that any axiom have any mutual interdependence with any 
>>> other axiom.
>>
>> Axioms are not proven. They are given.
>>
>> And this example is precisely what you asked for. I am *not* 
>> considering Euclid's system of axioms. I am considering a *different* 
>> system in which the only axioms given are P1, P2, P3, and P4. In this 
>> system P5 is *not* given as an axiom.
> 
> That example does meet this spec:
> ∃T ∈ Formal_Systems ∃φ ∈ WFF(T) ((T ⊬ φ) ∧ (T ⊬ ¬φ))

Before moving on to other examples, why don't we actually finish with 
this example?

I'd asked a question, which you not only failed to address, but which 
you snipped from your reply.

You earlier claimed that any example which satisfied the above 
definition of incompleteness would have to be self-contradictory.

I asked you in what sense the above example involving P1-P4 is 
self-contradictory?

I also provided a second example from Q which you snipped entirely. I 
repeat it below:

Within Q (Robinson arithmetic), x + y = y + x is a WFF but it cannot be 
derived as a theorem. Nor can x + y ≠ y + x be derived as a theorem. 
Therefore, Q is incomplete.

And I again ask the same question: In what sense is this 
'self-contradictory'.

Even a single example is sufficient to refute your assertion that 
anything which satisfied the above definition of incompleteness is 
'self-contradictory'.

You you can either acknowledge that your original assertion is simply 
wrong, or you can demonstrate that there is some sort of 
'self-contradiction' involved in both of these examples.

After you do one of those two things, we can move on to the example below.

André

> So now we have to go back to Panu Raatikainen's example:
> 
> [Simplified Gödel Sentence]
> https://plato.stanford.edu/entries/goedel-incompleteness/#FirIncTheCom
> 
> (G) F ⊢ GF ↔ ¬ProvF(⌈GF⌉). // Original
> (G) F ⊢ GF ↔ ¬ProvF(GF).     // Remove arithmetization
> 
> // Adapt syntax and quantify:
> ∃F ∈ Formal_Systems ∃G ∈ WFF(F) (G ↔ (F ⊬ G))
> 
> Is this true?


-- 
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service.

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Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-26 20:03 -0500
  Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-26 20:53 -0700
    Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-26 23:46 -0500
      Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-26 22:54 -0700
        Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 11:04 -0500
    Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2020-06-27 10:24 +0100
      Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 11:14 -0500
        Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-27 09:38 -0700
          Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 11:58 -0500
            Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-27 11:54 -0700
              Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 15:26 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-27 14:52 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 17:09 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-27 17:43 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 19:46 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-27 20:15 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-27 22:11 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-28 16:32 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 David Kleinecke <dkleinecke@gmail.com> - 2020-06-28 14:43 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 olcott <NoOne@NoWhere.com> - 2020-06-28 16:59 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 André G. Isaak <agisaak@gm.invalid> - 2020-06-28 20:18 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-28 21:45 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-28 21:27 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-28 21:59 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-29 00:48 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-28 23:57 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-29 13:28 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-29 12:33 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-29 14:33 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-29 13:52 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-29 15:02 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-29 14:14 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-29 15:39 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-29 15:13 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-29 17:09 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-29 21:21 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 01:09 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-30 00:24 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 16:46 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-30 16:46 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 18:24 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-30 18:15 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 19:33 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-30 19:18 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 20:34 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-30 20:06 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 21:31 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-06-30 20:54 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-01 11:03 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-01 10:35 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-01 17:35 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) Chris Buckley <alan@sabir.com> - 2020-07-01 22:47 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-02 07:01 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 10:51 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-02 10:46 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 13:59 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-02 13:37 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2020-07-02 08:53 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 09:52 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) Chris Buckley <alan@sabir.com> - 2020-07-02 15:06 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 10:56 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) Chris Buckley <alan@sabir.com> - 2020-07-02 22:52 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 18:35 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) Chris Buckley <alan@sabir.com> - 2020-07-02 23:48 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 18:57 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) David Kleinecke <dkleinecke@gmail.com> - 2020-07-02 19:22 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-02 22:03 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-02 23:13 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 00:36 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-02 23:43 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 12:50 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 12:19 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 13:21 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 12:33 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 13:48 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 13:55 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 13:06 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 13:07 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 12:56 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 14:14 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 13:38 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-03 15:59 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-03 22:54 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-04 08:56 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-04 08:12 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-07-04 10:06 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) André G. Isaak <agisaak@gm.invalid> - 2020-07-04 09:31 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V20 (Text Analysis) olcott <NoOne@NoWhere.com> - 2020-07-04 14:31 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V20 (Text Analysis) André G. Isaak <agisaak@gm.invalid> - 2020-07-04 15:17 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V20 (Text Analysis) olcott <NoOne@NoWhere.com> - 2020-07-04 17:29 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) olcott <NoOne@NoWhere.com> - 2020-07-05 13:01 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-05 16:40 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) olcott <NoOne@NoWhere.com> - 2020-07-05 23:52 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-06 00:53 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) olcott <NoOne@NoWhere.com> - 2020-07-06 10:15 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) David Kleinecke <dkleinecke@gmail.com> - 2020-07-06 08:33 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) olcott <NoOne@NoWhere.com> - 2020-07-06 11:49 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) André G. Isaak <agisaak@gm.invalid> - 2020-07-06 11:27 -0600
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) André G. Isaak <agisaak@gm.invalid> - 2020-07-06 10:48 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) André G. Isaak <agisaak@gm.invalid> - 2020-07-06 13:55 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) olcott <NoOne@NoWhere.com> - 2020-07-07 22:13 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V23 (Newspeak) olcott <NoOne@NoWhere.com> - 2020-07-07 22:44 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2020-06-30 11:17 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V13 (Isomorphism) olcott <NoOne@NoWhere.com> - 2020-06-30 08:44 -0500

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