I'll have to admit something about myself -- I've never been able to learn how to do anything from just reading its first principles. I need to have a working example that I can then adapt and change and observe changes in the result. This has been especially true in programming. I've been writing programs in some capacity for 18 years now and not once in that time have I been able to simply read the reference manual…
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…
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, both experimenting and reasoning can be flawed, and part of the trick is to learn how to do that properly. Computer science is difficult.