[jacquesm]

Where did you get that particular idea? PID is one of the oldest concepts in control theory, it goes back to the days before steam and electricity.

For a very early example:

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

It's hard to separate out the P, I and D from a mechanical implementation but they're all there in some form.

[guhidalg]

Right, but the genius was in understanding that the dynamics of a system under PID control are predictable and described by differential equations. Are there examples of LLMs correctly identifying that a specific mathematical model applies and is appropriate for a problem?

And it's cheating if you give it a problem from a math textbook they have overfit on.

[jacquesm]

That doesn't make it AI.