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Groups > comp.theory > #49633

Re: Is this correct Prolog?

From olcott <polcott2@gmail.com>
Newsgroups comp.theory, comp.lang.prolog, comp.ai.philosophy
Subject Re: Is this correct Prolog?
Date 2022-05-03 22:24 -0500
Organization A noiseless patient Spider
Message-ID <t4srko$445$1@dont-email.me> (permalink)
References (22 earlier) <t4ro31$1kc$1@dont-email.me> <t4rp26$a70$1@dont-email.me> <t4rruh$557$1@dont-email.me> <t4ru1s$mre$1@dont-email.me> <t4s1r5$n2b$1@dont-email.me>

Cross-posted to 3 groups.

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On 5/3/2022 3:03 PM, André G. Isaak wrote:
> On 2022-05-03 12:59, olcott wrote:
>> On 5/3/2022 1:23 PM, André G. Isaak wrote:
>>> On 2022-05-03 11:33, olcott wrote:
>>>> On 5/3/2022 12:17 PM, André G. Isaak wrote:
>>>>> On 2022-05-03 11:05, olcott wrote:
>>>>>> On 5/3/2022 11:52 AM, André G. Isaak wrote:
>>>
>>> <snippage>
>>>
>>>>>>> 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. 
>>>>
>>>> This is not any mere assumption.
>>>>
>>>> The only way that any analytic expressions of language are correctly 
>>>> determined to be true is:
>>>
>>> 'True' and 'Correctly determined to be true' mean different things.
>>>
>>
>> Yes that seems to be correct.
>> On the other hand calling an expression of language true that has not 
>> be 'Correctly determined to be true' is an error.
> 
> But calling it a "non-truth bearer" simply because it has not been 
> determined to be true would equally be an error.
> 

That if correct. If is is impossibly true or false then it is not a 
truth bearer.

> And it can be shown (i.e. correctly determined) that G is true, just not 
> within the system for which it was constructed.
> 

unprovable in the system entails untrue in the system.

>> If G is claimed to be true then this assertion must be supported by: 
>> 'Correctly determined to be true' otherwise the assessment of its 
>> truth is no more than a wild guess.
>>
>>>> (a) They are defined to be true.
>>>> (b) They are derived from applying truth preserving operations to 
>>>> (a) or (b). Prolog knows this on the basis of its facts and rules. 
>>>> Facts are (a) and rules are (b). This is also known as sound 
>>>> deductive inference.
>>>
>>> These are YOUR assumptions. They have not been demonstrated. And they 
>>> are not consistent with the way in which the rest of the world talks 
>>> about truth. You are talking about provability, not truth.
>>>
>>
>> If G is claimed to be true then this assertion must be supported by: 
>> 'Correctly determined to be true' otherwise the assessment of its 
>> truth is no more than a wild guess.
>>
>>>>> The whole point of Gödel's proof is that they cannot be the same 
>>>>> (at least not for non-trivial systems).
>>>>>
>>>>
>>>> When G is not provable in PA, how is it shown to be true (wild guess)?
>>>> What is the precise basis for assessing that G is true? please 
>>>> provide ALL the steps.
>>>
>>> "True" and "Known to be true" are entirely different things.
>>>
>>
>> Yes, however:
>> If G is claimed to be true then this assertion must be supported by: 
>> 'Correctly determined to be true' otherwise the assessment of its 
>> truth is no more than a wild guess.
> 
> As I said, it can be shown in a higher order system.

Sure, yet it is only true in this system which also makes it provable in 
that system.

> But even if it could not be, if we can show that G can only be true in 
> cases where it is not provable in T, then there are only two possible 
> conclusions:
> 

It can't be true in T and unprovable in T.

> Either G is true and unprovable in T, in which case T is incomplete.
> Or G is false and provable in T, in which case T is inconsistent.
> 

If G is provable in U then it is true in U.
If G is unprovable in T then it is untrue in T.
G is unprovable in T because it is semantically incorrect.

> Which is exactly what Gödel's theorem states: A system can be consistent 
> or it can be complete but it cannot be both. An incomplete system is 
> still useful. An inconsistent system is not. Ergo he phrases this as an 
> consistent system must be incomplete [with the usual caveats about 
> meeting some minimum threshold of expressive power].
> 
>>> Consider the equation Srt((2748 + 87)^3) = 150,948.776 (to 3 decimal 
>>> places)
>>>
>>
>> (2748 + 87)^3 = 22,785,532,875
>> What are you sorting with Srt()?
> 
> That was obviously a type. Sqrt().
> 
>>> That equation is true but it is unlikely anyone knew this to be true 
>>> until now since I very much doubt anyone had previously considered 
>>> that specific equation. That's doesn't mean it wasn't true all along. 
>>> Just that no one knew it was true.
>>>
>>> There are all sorts of cases where we know one thing without knowing 
>>> all things. I can know with certainty that (A ∨ B) is true meaning 
>>> that I know that *at least* one of A or B must be true while still 
>>> not knowing the truth value of either. These sorts of things occur 
>>> all the time.
>>>
>>
>> That is not true. If A and B are syntactically correct expressions of 
>> a formal language yet neither one is semantically correct then we have 
>> the same case as the Liar Paradox not being a truth bearer, thus (A ∨ 
>> B) is neither true nor false.
> 
> But your whole notion of 'semantically correct' is recognized by no one 
> but you and is antithetical to the entire notion of a formal system. And 
> what I describe above is a situation which *very* commonly arises in 
> proofs. They're called proofs by dilemma and take the form:
> 
> A → C
> B → C
> (A ∨ B)
> 
> Therefore C
> 
> We draw a conclusion from A or B without knowing the truth value of 
> either. This strategy, for example, was used by Euclid in his proof that 
> no largest prime exists.
> 
> If you declare A and B to be 'non-truth bearers' simply because you 
> don't know whether they are true or false, then this and many other 
> proofs completely fall apart.

It is not because they have unknown truth values.

> 
>>> And not being provable in PA and not being provable are also two 
>>> different things.
>>>
>>
>> I know that. Yet not being provable in PA also means that G cannot be 
>> derived in PA by applying truth preserving operations to the axioms Z 
>> of PA or other expressions Y derived from Z or Y.
>>
>> If G is correctly determined to be true then there must be some 
>> process detailing the steps of how it is 'Correctly determined to be 
>> true'.
> 
> Just not in PA.

OK great this is great progress!

>> Lacking these steps one cannot correctly assert that G is true, only 
>> that G might possibly be true.
>>
>>>>> 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.
>>>>>
>>>>
>>>> Precise equivalence is defined by this:
>>>> Incomplete(T) ↔ ∃φ ((T ⊬ φ) ∧ (T ⊬ ¬φ)).
>>>>
>>>> The Liar Paradox can be neither proven nor refuted where T is the 
>>>> entire body of analytic knowledge and φ is LP.
>>>
>>> The Liar Paradox is a self-contradiction. The Gödel sentence is not.
>>
>> Until you understand that G can only be correctly asserted to be true 
>> in X if G is provable in X. G may be true in X without a proof in X, 
>> yet it cannot be correctly asserted to be true in X without such a proof.
> 
> This is your confusion, not mine. We can assert that G is not provable 
> and that ¬G is also not provable without asserting anything at all about 
> whether G is true and still conclude that X is incomplete.

Yes, but, only because the mathematical definition of Incomplete does 
not screen out semantically erroneous expression of the language of X:
Incomplete(T) ↔ ∃φ ((T ⊬ φ) ∧ (T ⊬ ¬φ)).

>>>
>>>>> 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
>>>>
>>>> It is isomorphic to the substance of the actual proof.
>>>
>>> No. It is not. G asserts a claim about mathematics. It does not 
>>> assert anything about itself. However, within the metalanguage we can 
>>> prove that G can only be true if it is not provable within the system 
>>> under consideration.
>>>
>>
>> Incomplete(T) ↔ ∃φ ((T ⊬ φ) ∧ (T ⊬ ¬φ)).
>> When both G and the LP exactly meet the official mathematical 
>> definition of incompleteness then G and LP are proven to be isomorphic.
> 
> LP doesn't meet said definition. LP is a paradox of natural language. 
> There is no 'isomorphism' between G and LP. And if you claim there is, 
> you must state what that isomorphism actually is.

It is a little iffy to say that the LP fits into the above formula 
making it isomorphic to Gödel's G unless we can at least specify the 
formal system that LP is a member of. Tarski seemed to have provided a 
very clean basis to formalize the Liar Paradox. I am working on deriving 
it.

>>>> Gödel says:
>>>> since the undecidable proposition [R(q); q] states precisely that q 
>>>> belongs to K, i.e. according to (1), that [R(q); q] is not provable. 
>>>> We are therefore confronted with a proposition which asserts its own 
>>>> unprovability.
>>>
>>> We are confronted *in our analysis* with such a situation. But there 
>>> is no proposition which directly asserts such a thing.
>>>
>>


You have to pay attention to this
since the undecidable proposition [R(q); q] states precisely that q
belongs to K, i.e. according to (1), that [R(q); q] is not provable.
It is the English language version of a formal logic sentence.

>> You are letting weasel words leak semantic meaning.
> 
> What does 'leak semantic meaning' even mean?

You were simply looking at the wrong lines of the Gödel quote.

> 
> André
> 
>> My analysis pertaining to the official mathematical definition of 
>> incompleteness cuts through these weasel words.
>>
>> This proves that G the LP and the following sentence are all isomorphic:
>> "This sentence is unprovable".
>>
>>> The problem is you refuse to look at the actual math and instead look 
>>> only at the text commentary which is merely a guide to, not the 
>>> actual substance of, the proof.
>>>
>>> André
>>>
>>
>>
> 
> 


-- 
Copyright 2022 Pete Olcott "Talent hits a target no one else can hit;
Genius hits a target no one else can see." Arthur Schopenhauer

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Thread

Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 02:02 -0500
  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? 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> - 2022-05-01 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? olcott <NoOne@NoWhere.com> - 2022-04-30 20:47 -0500
      Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-04-30 19:53 -0600
        Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-04-30 23:49 -0500
          Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-04-30 23:34 -0600
            Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 06:40 -0500
              Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 07:35 -0600
                Re: Is this correct Prolog? polcott <polcott2@gmail.com> - 2022-05-01 10:57 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 10:15 -0600
                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
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 11:08 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 10:21 -0600
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 12:01 -0500
                Re: Is this correct Prolog? Mr Flibble <flibble@reddwarf.jmc> - 2022-05-01 18:59 +0100
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 13:28 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 12:33 -0600
                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? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 13:22 -0600
                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? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 13:54 -0600
                Re: Is this correct Prolog? olcott <NoOne@NoWhere.com> - 2022-05-01 15:03 -0500
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 14:37 -0600
                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 ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-01 16:39 -0700
                Re: Is this correct Prolog? [ André is proven to be a liar ] olcott <NoOne@NoWhere.com> - 2022-05-01 18:51 -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 ] André G. Isaak <agisaak@gm.invalid> - 2022-05-01 18:13 -0600
                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? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 16:01 -0400
                Re: Is this correct Prolog? Jeff Barnett <jbb@notatt.com> - 2022-05-01 15:10 -0600
                Re: Is this correct Prolog? André G. Isaak <agisaak@gm.invalid> - 2022-05-01 15:11 -0600
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 16:49 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-01 18:07 -0400
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-01 17:35 -0500
  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> - 2022-05-01 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? 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? Ben <ben.usenet@bsb.me.uk> - 2022-05-03 00:43 +0100
                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? 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 ] André G. Isaak <agisaak@gm.invalid> - 2022-05-05 20:41 -0600
                Re: Is this correct Prolog? [ Tarski ] Jeff Barnett <jbb@notatt.com> - 2022-05-05 23:09 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 00:16 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 07:39 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 12:17 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 11:31 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 13:36 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 12:41 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 14:03 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 13:11 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 14:23 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 13:27 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 14:39 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 13:46 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 14:51 -0500
                Re: Is this correct Prolog? [ Tarski ] André G. Isaak <agisaak@gm.invalid> - 2022-05-06 13:55 -0600
                Re: Is this correct Prolog? [ Tarski ] olcott <polcott2@gmail.com> - 2022-05-06 15:35 -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? olcott <polcott2@gmail.com> - 2022-05-03 10:44 -0500
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 14:49 -0500
                Re: Is this correct Prolog? Python <python@example.invalid> - 2022-05-04 00:13 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 17:23 -0500
                Re: Is this correct Prolog? Python <python@example.invalid> - 2022-05-04 00:40 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 17:47 -0500
                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? [ André didn't lie after all ] "B.H." <xlt.pjw@gmail.com> - 2022-05-03 10:13 -0700
                Re: Is this correct Prolog? [ André didn't lie after all ] olcott <polcott2@gmail.com> - 2022-05-03 12:17 -0500
                Re: Is this correct Prolog? [ André didn't lie after all ] "B.H." <xlt.pjw@gmail.com> - 2022-05-03 10:25 -0700
                Re: Is this correct Prolog? [ André didn't lie after all ] olcott <polcott2@gmail.com> - 2022-05-03 13:07 -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? Mikko <mikko.levanto@iki.fi> - 2022-05-04 09:49 +0300
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-04 12:55 -0500
                Re: Is this correct Prolog? Mikko <mikko.levanto@iki.fi> - 2022-05-06 15:46 +0300
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-06 12:24 -0500
                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? Aleksy Grabowski <hurufu@gmail.com> - 2022-05-03 10:46 +0200
                Re: Is this correct Prolog? olcott <polcott2@gmail.com> - 2022-05-03 10:06 -0500
                Re: Is this correct Prolog? Richard Damon <Richard@Damon-Family.org> - 2022-05-03 22:20 -0400
                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? 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

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