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Groups > comp.lang.prolog > #12916

Re: Is this correct Prolog?

From André G. Isaak <agisaak@gm.invalid>
Newsgroups comp.theory, comp.lang.prolog, comp.ai.philosophy
Subject Re: Is this correct Prolog?
Date 2022-05-03 11:17 -0600
Organization Christians and Atheists United Against Creeping Agnosticism
Message-ID <t4ro31$1kc$1@dont-email.me> (permalink)
References (17 earlier) <t4pulq$bci$1@dont-email.me> <t4rh4c$t51$1@dont-email.me> <t4rk2m$rei$1@dont-email.me> <t4rmkb$jrt$1@dont-email.me> <t4rncl$qtf$1@dont-email.me>

Cross-posted to 3 groups.

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On 2022-05-03 11:05, olcott wrote:
> On 5/3/2022 11:52 AM, André G. Isaak wrote:
>> On 2022-05-03 10:08, olcott wrote:
>>> On 5/3/2022 10:18 AM, André G. Isaak wrote:
>>>> On 2022-05-02 18:57, olcott wrote:
>>>>> On 5/2/2022 6:43 PM, Ben wrote:
>>>>>> Aleksy Grabowski <hurufu@gmail.com> writes:
>>>>>>
>>>>>>>> IF you are defining that your logic system is limited to what 
>>>>>>>> Prolog can "Prove", that is fine. Just realize that you have 
>>>>>>>> just defined that your
>>>>>>>> logic system can't handle a lot of the real problems in the 
>>>>>>>> world, and in particular, it is very limited in the mathematics 
>>>>>>>> it can handle.
>>>>>>>> I am pretty sure that Prolog is NOT up to handling the logic 
>>>>>>>> needed to
>>>>>>>> handle the mathematics needed to express Godel's G, or the 
>>>>>>>> Halting Problem.
>>>>>>>> Thus, your "Proof" that these Theorems are "Wrong" is incorrect, 
>>>>>>>> you
>>>>>>>> have only proven that your limited logic system can't reach them 
>>>>>>>> in expressibility.
>>>>>>>
>>>>>>> Thanks for confirmation, that's what exactly what I was trying to 
>>>>>>> tell
>>>>>>> to topic poster in one of my previous posts. Prolog in it's bare 
>>>>>>> form
>>>>>>> is a bad theorem solver. It wasn't designed a such.
>>>>>>>
>>>>>>> If you want to deal with such problems maybe it is better to use Coq
>>>>>>> theorem prover, I've never used it by myself, but it looks like 
>>>>>>> one of
>>>>>>> the best proving assistants out there.
>>>>>>
>>>>>> And indeed there is a fully formalised proof of GIT in Coq (though I
>>>>>> think it's the slightly tighter Gödel-Rosser version).
>>>>>>
>>>>>
>>>>> It is true that G is not provable. G is not provable because it is 
>>>>> semantically incorrect in the exactly same way that the Liar 
>>>>> Paradox is semantically incorrect.
>>>>>
>>>>> Gödel says:
>>>>> 14 Every epistemological antinomy can likewise be used for a 
>>>>> similar undecidability proof
>>>>>
>>>>> André denied this six times yesterday
>>>>> The Liar Paradox is an epistemological antinomy, thus can likewise 
>>>>> be used for a similar undecidability proof.
>>>>
>>>> No. The Liar can be used to construct an *identical* proof. 
>>>
>>> Really?
>>
>> Of course really.
>>
>> His original proof drew on The Liar for inspiration. So a proof which 
>> draws on The Liar would be the same proof.
>>
>> He is saying that he could have used ANY antinomy.
>>
>> IOW, he could have chosen a *different* antinomy from The Liar, call 
>> it Antinomy X, and constructed a *similar* proof around that. It would 
>> not be the same proof, but it would involve constructing some sentence 
>> G-Prime which held the same relation to Antinomy X as G hold to The Liar.
>>
>> But there would not be an equivalence between G-Prime and X anymore 
>> than there is an equivalence between G and The Liar.
>>
>> This is the point I keep trying to drive home. There is NO EQUIVALENCE 
>> between G and the The Liar. Only a close relationship.
>>
>>>> Other antinomies could be used for similar proofs. He's already 
>>>> talking about The Liar.
>>>>
>>>>> Which means that the Liar Paradox is sufficiently equivalent to 
>>>>> Gödel's G. Which means if the basic mechanism of epistemological 
>>>>> antinomy is shown to be semantically incorrect then Gödel's G is 
>>>>> shown to be semantically incorrect.
>>>>
>>>> You have some serious reading comprehension problems. I never denied 
>>>> the things Gödel wrote. I denied your conclusion because it does not 
>>>> follow.
>>>>
>>>> Gödel starts by claiming there is a close relationship (*not* 
>>>> equivalence) between one particular antinomy, The Liar, and his G.
>>>>
>>>> He then states that similar proofs could be constructed using any 
>>>> antinomy.
>>>>
>>>> That entails that other antinomies could be used to construct 
>>>> similar proofs involving a similar close relation (again, *not* 
>>>> equivalence).
>>>>
>>>
>>> That you persisted (six times) on claiming that Gödel's statement 
>>> about the Liar Paradox overrode and superseded his statement about 
>>> the entire category that the Liar Paradox belongs to was despicably 
>>> deceitful, 
>>
>> Except I made no such claim. Not even once. You persisted (six times) 
>> in misreading my claim.
>>
>>> unless you believe that "close relationship" is stronger than 
>>> "similar undecidability proof". In that case you never lied about 
>>> this. I really only want an honest dialogue so I am happy to admit my 
>>> mistakes.
>>>
>>>> Gödel never claims *any* antinomy is equivalent to his G. Merely 
>>>> that a close relationship holds.
>>>>
>>>
>>> I take "similar undecidability proof" to mean isomorphic.
>>
>> Fine. That would mean the proof involving the Liar and G would be 
>> isomorphic to the proof involving antinomy X and G-Prime.
>>
> 
> I have no idea what you mean by G-Prime.

It is defined directly above. Trying reading more carefully.

>> That does *NOT* get you to the claim you were making which was that G 
>> in some sense equivalent to The Liar. It is not.
>>
>> And your claim that G is not a truth bearer rests on your false claim 
>> that G and The Liar are somehow equivalent (though you refuse to say 
>> with respect to what). 
> 
> Incomplete(T) ↔ ∃φ ((T ⊬ φ) ∧ (T ⊬ ¬φ)).
> It is the fact that the mathematical definition of Incompleteness simply 
> assumes that φ is semantically correct that is the core mistake of the 
> mathematical definition of Incompleteness.
> 
>> G is very clearly a truth-bearer. Go back and reread my original 
>> explanation.
>>
> 
> When G is not provable in PA, how is it shown to be true?
> If it is not shown to be true in PA then we have the strawman error.

Here you're simply begging the question by assuming your own conclusion: 
that being true and being provable are the same. The whole point of 
Gödel's proof is that they cannot be the same (at least not for 
non-trivial systems).

The question is not whether it is true but whether it is a truth *bearer*.

You make the claim that The Liar is not a truth bearer (a plausible 
claim depending on one's definitions).

You then jump to the conclusion that G is not a truth bearer based on 
your assertion that it is "equivalent" to The Liar. But it is *NOT* 
equivalent. It merely bears a close relationship. But you refuse to 
actually consider what the nature of that relationship; there are both 
similiarites and differences.

Whereas the Liar has no content other than to assert its own falsity, 
Gödel's G has definite content. It does not assert its own 
unprovability, it asserts a very specific mathematical claim, one which 
must by its nature be either true or false. Therefore G *is* a truth bearer.

The formulation that G asserts its own unprovability is the Cliff-Notes 
version of the proof. It's not the substance of the actual proof.

André

-- 
To email remove 'invalid' & replace 'gm' with well known Google mail 
service.

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Thread

Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 02:02 -0500
  Re: Is this correct Prolog? Mikko <mikko.levanto@iki.fi> - 2022-04-30 12:31 +0300
    Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-04-30 20:15 +0200
      Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 16:08 -0500
        Re: Is this correct Prolog? Mikko <mikko.levanto@iki.fi> - 2022-05-01 12:26 +0300
          Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:00 -0500
            Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 13:49 +0200
              Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 08:09 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 15:35 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 08:55 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 16:28 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 10:24 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 17:44 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 11:04 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 18:38 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 11:49 -0500
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 09:51 -0700
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 19:38 +0200
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 11:04 -0700
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 14:22 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 14:14 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 14:24 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 21:43 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 15:10 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 22:37 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 15:58 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 16:30 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 23:33 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 16:42 -0500
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-03 00:13 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 19:35 -0500
                Re: Is this correct Prolog? Jeff Barnett <jbb@notatt.com> - 2022-05-02 11:28 -0600
                Re: Is this correct Prolog? Mr Flibble <flibble@reddwarf.jmc> - 2022-05-02 19:41 +0100
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 14:26 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 14:32 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-02 18:28 -0400
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-03 00:41 +0200
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 16:00 -0700
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-03 01:39 +0200
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 17:26 -0700
                Re: Is this correct Prolog? Ben <ben.usenet@bsb.me.uk> - 2022-05-03 00:43 +0100
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 17:20 -0700
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 19:57 -0500
                Re: Is this correct Prolog? Ben <ben.usenet@bsb.me.uk> - 2022-05-03 03:21 +0100
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 22:01 -0500
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-03 01:18 -0700
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-03 08:05 -0400
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-04 21:30 -0500
                Re: Is this correct Prolog? [ Tarski ] Richard Damon <Richard@Damon-Family.org> - 2022-05-04 22:46 -0400
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-04 22:02 -0500
                Re: Is this correct Prolog? [ Tarski ] Richard Damon <Richard@Damon-Family.org> - 2022-05-05 07:41 -0400
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-05 12:57 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-05 12:06 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-05 16:23 -0500
                Re: Is this correct Prolog? [ Tarski ] Richard Damon <Richard@Damon-Family.org> - 2022-05-05 22:24 -0400
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-05 21:37 -0500
                Re: Is this correct Prolog? [ Tarski ] Richard Damon <Richard@Damon-Family.org> - 2022-05-06 07:43 -0400
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 15:29 -0500
                Re: Is this correct Prolog? Ben <ben.usenet@bsb.me.uk> - 2022-05-03 15:59 +0100
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 09:18 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 11:08 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 10:52 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 12:05 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 11:17 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 12:33 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 12:23 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 13:59 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 14:03 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 22:24 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 21:54 -0600
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-04 07:27 -0400
                Re: Is this correct Prolog? [ André didn't lie after all ] olcott <polcott2@gmail.com> - 2022-05-03 12:08 -0500
                Re: Is this correct Prolog? Jeff Barnett <jbb@notatt.com> - 2022-05-03 12:33 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 14:12 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 13:22 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 21:53 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-03 23:12 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 22:53 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-03 22:06 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-04 01:17 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-04 08:02 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-04 14:01 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-04 19:48 -0400
                Re: Is this correct Prolog? Jeff Barnett <jbb@notatt.com> - 2022-05-03 15:58 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 17:13 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 19:11 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 19:35 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-02 20:47 -0400
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 07:59 -0700
                Re: Is this correct Prolog? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-02 17:15 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 10:45 -0500
                Re: Is this correct Prolog? Julio Di Egidio <julio@diegidio.name> - 2022-05-02 09:02 -0700
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 11:26 -0500
      Re: Is this correct Prolog? Mikko <mikko.levanto@iki.fi> - 2022-05-01 12:24 +0300
        Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 05:58 -0500
          Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 07:12 -0400
            Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:45 -0500
              Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 08:07 -0400
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 07:15 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 13:49 -0400
    Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 15:48 -0500
      Re: Is this correct Prolog? Mikko <mikko.levanto@iki.fi> - 2022-05-01 12:38 +0300
        Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:06 -0500
          Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 07:26 -0400
            Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:54 -0500
              Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 08:11 -0400
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 07:19 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 14:00 -0400
  Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-04-30 21:08 -0400
    Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 20:42 -0500
      Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-04-30 22:00 -0400
        Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 21:21 -0500
          Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-04-30 22:38 -0400
            Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 21:56 -0500
              Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-04-30 23:11 -0400
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 22:15 -0500
                Re: Is this correct Prolog? Jeff Barnett <jbb@notatt.com> - 2022-04-30 23:24 -0600
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:35 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 13:16 -0400
                Re: Is this correct Prolog? Mr Flibble <flibble@reddwarf.jmc> - 2022-05-01 13:19 +0100
                Re: Is this correct Prolog? polcott <polcott2@gmail.com> - 2022-05-01 07:51 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 13:19 -0400
                Re: Is this correct Prolog? Jeff Barnett <jbb@notatt.com> - 2022-05-01 11:22 -0600
                Re: Is this correct Prolog? Mikko <mikko.levanto@iki.fi> - 2022-05-01 12:45 +0300
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:28 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 08:01 -0400
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 07:09 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 08:16 -0400
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 07:18 -0400
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:50 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 13:26 -0400
    Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 20:47 -0500
      Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 23:49 -0500
        Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 11:08 -0500
          Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 13:28 -0500
            Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 14:00 -0500
              Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 15:19 -0400
              Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 14:32 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 13:44 -0600
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 14:48 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 16:01 -0400
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 15:42 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 14:51 -0600
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 17:04 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 18:08 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 17:39 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 19:18 -0400
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 17:26 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 19:58 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 21:32 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 20:53 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 22:14 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 21:18 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 20:37 -0600
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 22:47 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 22:04 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 22:10 -0600
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-02 07:10 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-02 08:19 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-02 18:38 -0400
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 16:37 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 17:44 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 17:15 -0600
                Re: Is this correct Prolog? [ André is proven to be a liar ] olcott <NoOne@NoWhere.com> - 2022-05-01 18:33 -0500
                Re: Is this correct Prolog? [ André is proven to be a liar ] André G. Isaak <agisaak@gm.invalid> - 2022-05-01 17:44 -0600
                Re: Is this correct Prolog? [ André is proven to be a liar ] olcott <NoOne@NoWhere.com> - 2022-05-01 18:53 -0500
                Re: Is this correct Prolog? [ André is proven to be a liar ] olcott <polcott2@gmail.com> - 2022-05-01 18:15 -0500
                Re: Is this correct Prolog? [ André is proven to be a liar ] Richard Damon <Richard@Damon-Family.org> - 2022-05-01 19:21 -0400
                Re: Is this correct Prolog? [ André is proven to be a liar ] olcott <polcott2@gmail.com> - 2022-05-01 19:56 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 17:05 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 16:55 -0400
        Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 11:57 -0500
          Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 11:21 -0600

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