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Groups > comp.lang.prolog > #14645
| From | Mild Shock <janburse@fastmail.fm> |
|---|---|
| Newsgroups | comp.lang.prolog |
| Subject | The ideal choice point as a logical formula (Was: Would Poincaré miss the AI Boom) |
| Date | 2025-07-10 21:22 +0200 |
| Message-ID | <104p3so$22dce$1@solani.org> (permalink) |
| References | <vpceij$is1s$1@solani.org> <104osio$2281u$1@solani.org> |
Hi,
This is nothing for Bart Demoen, Physics PhD,
academic fraud. The ideal choice point can
be formulated as a logical formula, involving
an existential quantifier. Assume we have
a query and already these answers, and the
Prolog system is prompting the interactive user:
?- p(X).
X = a1 ;
X = a2 ;
...
X = ak-1 ;
X = ak
A mathematical oracle that could indicate whether
it is even necessary to prompt the user could be:
∃X ( p(X) & X =\= a1 & ... & X =\= ak)
It doesn't match 100% Prolog since Prolog might
give duplicate answers or non-ground answers,
but assume for the moment the query q(X),
produces only distinct and ground results.
Nice existential FOL formula we have in the above.
Bye
Mild Shock schrieb:
>
> Henri Poincaré believed that mathematical
> and scientific creativity came from a deep,
> unconscious intuition that could not be
>
> captured by mechanical reasoning or formal
> systems. He famously wrote about how insights
> came not from plodding logic but from sudden
>
> illuminations — leaps of creative synthesis.
>
> But now we have generative AI — models like GPT — that:
>
> - produce poetry, proofs, stories, and code,
>
> - combine ideas in novel ways,
>
> - and do so by processing patterns in massive
> datasets, without conscious understanding.
>
> And that does seem to contradict Poincaré's belief
> that true invention cannot come from automation.
>
> Mild Shock schrieb:
>> Hi,
>>
>> But I shouldn't waste too much time.
>> One shouldn't punish people for just
>> being plain stupid.
>>
>> Like for example this clueless french
>> philosopher who had a lot of troubles
>> with non-classical logic.
>>
>> His brain tried to eliminate non-classical
>> logic, it was keen on avoiding non-classical
>> logic. A typical species of a human with
>>
>> an extremly small brain, again working
>> in the wrong place!
>>
>> Bye
>>
>> P.S.: Maybe this a Poincaré thingy? Poincaré
>> was a strong critic of logicism (as championed
>> by Frege and Russell) and of Hilbert’s
>> formalist program.
>>
>> But, he did not formally use or promote systems
>> like intuitionistic logic, modal logic, or
>> relevance logic. His logical framework remained
>> within the bounds of classical logic,
>>
>> though he was skeptical of excessive formalism.
>> He thought formal systems could miss the creative
>> and synthetic nature of mathematical
>> invention.
>
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The ideal choice point as a logical formula (Was: Would Poincaré miss the AI Boom) Mild Shock <janburse@fastmail.fm> - 2025-07-10 21:22 +0200
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Non-Wellfounded and Russell Paradox, what is your opinion? (Re: The Prolog Community is extremly embarrassing) Mild Shock <janburse@fastmail.fm> - 2025-07-25 21:38 +0200
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Gold medal waiting for the crankiest of cranks (Was: Unfinished Bimbo Stuff: 4.1. Trees as terms) Mild Shock <janburse@fastmail.fm> - 2025-07-26 16:10 +0200
Old School Logicians waste time with compare/3 ? (Was: Gold medal waiting for the crankiest of cranks) Mild Shock <janburse@fastmail.fm> - 2025-07-26 16:17 +0200
Is compare/3 a sunflower study subject? (Was: Old School Logicians waste time with compare/3 ?) Mild Shock <janburse@fastmail.fm> - 2025-07-26 16:36 +0200
Lattent Thinking the forbidden Fruit (Was: Prolog totally missed the AI Boom) Mild Shock <janburse@fastmail.fm> - 2025-11-02 11:58 +0100
Latent Thinking the forbidden Fruit (Was: Prolog totally missed the AI Boom) Mild Shock <janburse@fastmail.fm> - 2025-11-02 12:19 +0100
Fully automated AI researcher in your team? (Re: Latent Thinking the forbidden Fruit) Mild Shock <janburse@fastmail.fm> - 2025-11-02 13:20 +0100
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