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From: Mild Shock <janburse@fastmail.fm>
Newsgroups: sci.math
Subject: Re: Was Poincare crushed by the New
Date: Sat, 4 Jan 2025 10:04:16 +0100
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Poincare is said to have never spent a long time on a
problem since he believed that the subconscious would
continue working on the problem while he consciously

worked on another problem. So he had a self model
that included some automatic processing. Mostlikely
Einstein used similar techniques, Einstein is said

to have slept about 10 hours a night, which is more
than the average adult needs, and often took naps
during the day. So both men managed and tapped into

their more holistic thinking. A nice example of
what is nowadays called "dual processing":

Dual-process accounts of reasoning postulate that there
are two systems or minds in one brain.
https://en.wikipedia.org/wiki/Dual_process_theory#Background

But dual processing is now challenged a little bit.
Just imagine a ChatGPT doing things when the end-user
is idle? Just like a chess program that continues

"thinking", when it is the opponents turn:

Yuval Noah Harari: ChatGPT is the “amoeba of AI evolution”
https://www.youtube.com/watch?v=lfid5DUoSBI

What will be the resulting physics?

Mild Shock schrieb:
> 
> Poincare has surely still a fellowship,
> maybe a form of counter culture, similar like
> Spencer Brown. Who halucinates a supervenient
> 
> logic over the logics from the formal revolution,
> mostly appealing to diagrammtic reasoning.
> 
> "The mathematician Darboux claimed he was un
> intuitif (an intuitive), arguing that this is
> demonstrated by the fact that he worked so
> often by visual representation. Jacques Hadamard
> wrote that Poincaré's research demonstrated
> marvelous clarity[76] and Poincaré himself wrote
> that he believed that logic was not a way to
> invent but a way to structure ideas and that
> logic limits ideas."
> https://en.wikipedia.org/wiki/Henri_Poincar%C3%A9#Character
> 
> This is a very common psychological defense
> mechanism, sometimes having even a religious
> 
> motivation, in that it is believed that the
> face of God or Angels speak to humans through
> mathematics. But once again with generative
> 
> AI and halucinating ChatGPT this humanist
> monopole is challenged somehow even more.
> 
> Mild Shock schrieb:
>> Poincare had quite some problems with the
>> formal revolution that took place as well
>> in the last 100 or more years, starting with
>>
>> things like naive set theory and its antinomies,
>> ending with computer formalized proofs of the Keppler
>> packing nowadays. He wrote a lengthy book:
>>
>> Science and method
>> by Poincaré, Henri, 1854-1912
>> https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up
>>
>> His struggle starts at page 160, The New Logics.
>> Similar Einstein was New Mechanics for him.
>> Mostlikely Poincaré nowadays would be a form of
>>
>> Sabine Hossenfelder with 100 YouTube videos and
>> possibly many followers. Poincaré faced the
>> destiny of any old fart that became irrelevant
>>
>> over the time and turned into a commentator.
>