alt Hacker NewsMetamathematics, by Kleene, is programming in maths. Theoretical computer science is maths. A lot of foundations work is programming. Coding itself is like an extended problem set from a maths class. LaTeX itself is programming.
The difference to me is one of directionality - maths research is seeing a far off island and getting there by hook or by crook; bridge, draining the swamp, inventing an airplane or boat, whatever it takes. Software engineering is like covering a plain with tiles - every feature is ultimately filled in and the underlying beauty is obscured by a fractal of complexity required by the ever growing requirements.
> Metamathematics, by Kleene, is programming in maths.
Ookay.
Back in the day i was confused by 'Linear programming', which is optimisation and has nothing to do with coding.
> every feature is ultimately filled in and the underlying beauty is obscured by a fractal of complexity required by the ever growing requirements.
Right. I would say Mathematics tries to unobscure (patterns in) nature. Engineering is creating tools, sometimes leveraging natural patterns. But yeah, Fourier or Laplace definitely created tools, too.