Earlier quoted context omitted.
Almost nobody can. Some people think they can, and charge forward with it, but rarely do they produce something that actually works. Usually, they bang on it and test it and cargo-cult it until it works, then convince themselves that it's from 'first principles'. Even if it were a common ability to produce engineering work from written design principles, I'm not certain that's what we want. Experimentation is the key…
> Experimentation is the key to science. Computer science is a branch of mathematics. Here you build models, reason about them, find properties, then prove them, then rely on them. Tests - a.k.a. experiments - are usually not exhaustive and don't provide guarantees of correctness. Having said that, I agree that experiment is of crucial importance - how else you would validate your models in the first place? However,…
I don't mean this to be a "mathematics from nature argument" (even infinite sets are hard to justify as coming from nature), but the course of history has usually been "solve similar problems in an ad-hoc manner many times, then generalize"