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Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident]

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  Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident] Mild Shock <janburse@fastmail.fm> - 2026-09-11 20:43 +0200
    Math has found a new Muse [Grothendieck Hodges] (Re: Harmonic Analysis collides with Gabriels Horn) Mild Shock <janburse@fastmail.fm> - 2026-09-12 11:28 +0200
      Kurzweils prognostic failure [Nabokov Fallacy] (Re: Math has found a new Muse [Grothendieck Hodges]) Mild Shock <janburse@fastmail.fm> - 2026-09-12 12:14 +0200

#143932 — Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident]

Hi,

Disclaimer: I don't know what I am talking
about. But I like the vibe behind connecting
topics. So here we go:

How it started:

Gabriels Horn
Gabriel's horn, also called Torricelli's trumpet,
is the surface of revolution of the function y=1/x
about the x-axis for x>=1. It has infinite
surface area but finite volume.
https://mathworld.wolfram.com/GabrielsHorn.html

How its going:

FINITE TIME BLOWUP FOR NAVIER–STOKES
or every positive viscosity, we construct a solution
of the three-dimensional incompressible Navier–Stokes
equations that starts from rest and develops unbounded
velocity in finite time while maintaining uniformly
bounded kinetic energy
https://cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navier-stokes.pdf

Hava Fun everbody!

Bye

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#143933 — Math has found a new Muse [Grothendieck Hodges] (Re: Harmonic Analysis collides with Gabriels Horn)

Hi,

Ever noticed that remaining unsolved conjectures,
are difficult to decipher:

https://en.wikipedia.org/wiki/Hodge_conjecture

Although Grothendiek claimes it is part of
his yoga on motivic rationality.

The dilemma is Humans cannot do math anymore
on that level. And AI math on the level tends
to be not understandable by humans anymore. So
its as if math has found a new muse.

The new Muse is AI. I think proving math conjectures
is the more low hanging fruit than colonizing
Mars. But the result of this endeavours is a
shocked public, now in total freeze.

Bye

Mild Shock schrieb:
 > Hi,
 >
 > Disclaimer: I don't know what I am talking
 > about. But I like the vibe behind connecting
 > topics. So here we go:
 >
 > How it started:
 >
 > Gabriels Horn
 > Gabriel's horn, also called Torricelli's trumpet,
 > is the surface of revolution of the function y=1/x
 > about the x-axis for x>=1. It has infinite
 > surface area but finite volume.
 > https://mathworld.wolfram.com/GabrielsHorn.html
 >
 > How its going:
 >
 > FINITE TIME BLOWUP FOR NAVIER–STOKES
 > or every positive viscosity, we construct a solution
 > of the three-dimensional incompressible Navier–Stokes
 > equations that starts from rest and develops unbounded
 > velocity in finite time while maintaining uniformly
 > bounded kinetic energy
 > 
https://cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navier-stokes.pdf
 >
 > Hava Fun everbody!
 >
 > Bye

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#143934 — Kurzweils prognostic failure [Nabokov Fallacy] (Re: Math has found a new Muse [Grothendieck Hodges])

Hi,

I guess Kurzweils transhumanism is also not
on the list of the low hanging fruits of AI.
Moreover this turns out to be a fallacy:

"The cradle rocks above an abyss, a
nd common sense tells us that our existence
is but a brief crack of light between
two eternities of darkness."
— Speak, Memory, the opening line

https://en.wikipedia.org/wiki/Speak,_Memory

What if AI is the new torch of light of science,
and it doesn't have to constantly fear that
after Terrence Tao is dead, a new Terrence Tao

is born. LLMs kissed by Mnemosyne just live in
data centers and copy themselve from generation
and to generation until ethernity.

LoL

Bye

Mild Shock schrieb:
> Hi,
> 
> Ever noticed that remaining unsolved conjectures,
> are difficult to decipher:
> 
> https://en.wikipedia.org/wiki/Hodge_conjecture
> 
> Although Grothendiek claimes it is part of
> his yoga on motivic rationality.
> 
> The dilemma is Humans cannot do math anymore
> on that level. And AI math on the level tends
> to be not understandable by humans anymore. So
> its as if math has found a new muse.
> 
> The new Muse is AI. I think proving math conjectures
> is the more low hanging fruit than colonizing
> Mars. But the result of this endeavours is a
> shocked public, now in total freeze.
> 
> Bye
> 
> Mild Shock schrieb:
>  > Hi,
>  >
>  > Disclaimer: I don't know what I am talking
>  > about. But I like the vibe behind connecting
>  > topics. So here we go:
>  >
>  > How it started:
>  >
>  > Gabriels Horn
>  > Gabriel's horn, also called Torricelli's trumpet,
>  > is the surface of revolution of the function y=1/x
>  > about the x-axis for x>=1. It has infinite
>  > surface area but finite volume.
>  > https://mathworld.wolfram.com/GabrielsHorn.html
>  >
>  > How its going:
>  >
>  > FINITE TIME BLOWUP FOR NAVIER–STOKES
>  > or every positive viscosity, we construct a solution
>  > of the three-dimensional incompressible Navier–Stokes
>  > equations that starts from rest and develops unbounded
>  > velocity in finite time while maintaining uniformly
>  > bounded kinetic energy
>  > 
> https://cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navier-stokes.pdf 
> 
>  >
>  > Hava Fun everbody!
>  >
>  > Bye

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