Basically nothing you said actually made a case against anything I said, or for the thesis that it is easy to self teach. Just stating this for the record.
Anyway, this is almost irrelevant to what I was saying. Even if you assume every person can reason well, I'm saying you could still be in error unless you seek validation and guidance. It's really easy to think you've given a solid argument for something, but actually be wrong. It happens to everyone.
*By the way, there is a definite trend in physics for math, instead of experimentation, to be leading the way towards discovery.