Hurrah, Jon!

> On Oct 18, 2026, at 12:51 PM, Jon Zingale <[email protected]> wrote:
> 
> One thing that continues to bore me about the whole thing is that what seems 
> to most surprise Strogatz is still just interpolation. He feels that the unit 
> distance problem is creative because there are these two highly developed 
> areas of mathematics where researchers failed historically to look for 
> functors between.
> 
> Ok, yeah, I get it. As an institutional doctoral student, one is likely to be 
> handed a small segment of one of these interpolation problems so that they 
> can work toward it while showing the world that the accreditation is 
> deserved. That kind of thing never really impresses me, maybe it should. I 
> don't care much for industrial education anyway.
> 
> I think it is novel that all these years later, my favorite introduction to 
> Number Theory (Niven 2 or 5) is effectively *just* a retelling of 
> Disquisitiones Arithmeticae.
> 
> Before the usual objection is made, about humans not being all that special 
> because if I can say what humans do (in language) then I have effectively 
> stated a recipe and some Turing machine can halt. I suspect LLMs can be made 
> to do the thing I would like to see, ML already does things like enhanced 
> sampling (weighted ensemble, etc...). It will eventually happen and I will be 
> impressed when these machines begin to scout effectively beyond the convex 
> hull. Because I tend to believe that there is no free lunch, this effective 
> extrapolation will be ugly just as it is for us, for ants, for anything.
> 
> I suppose my objection is that if we become self-satisfied with what these 
> machines are doing we may fail to continue looking at what legacy systems do 
> surprisingly well.
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