I see your point and the example I use in classes and seminars, is the following:
1 + 1 is 2. Correct?
Nods, and yeses and other affirmations.
I then ask the simple question they usually asked me. Why?
They mostly look at me blankly. I then tell them, there are three proofs, I know of, one is a dissertation, another is a few pages and the other is graphical and or can be explain in less than a page.
Still blank looks.
I then state, you can accept that 1 + 1 is 2 until you learn enough mathematics to prove it is true, or until you use it enough that it just becomes a habit.
** Yes of course, Mathematics is different than martial arts as there are bad techniques, and that would be like saying 1 + 1 is 3 and accepting that and moving forward **
So, yes testing is good, or working with those who have tested it themselves is also acceptable, in my mind.