Possibly there are laws related to entrapment? Allowing new user signups on a police controlled website might cross the line, where allowing existing users to finish their deals might not?
A classic issue that mathematicians, philosophers, and even computer "scientists" have is the idea that they can somehow reason their way to the truth. Oh, he makes a good argument. But the greeks made great arguments about how the sun goes around the earth.
I could say that this or that argument is flawed. But really, the only valid arguments are data. His data is severely lacking, and many modern methods of teaching are much more supported by experimentation. Logic is a tool for finding logically consistent imaginary realities. Science is a tool for finding out about this reality.
For music, the formal curriculum does involve memorizing songs and scales and whatnot. The problem is that the best way to start a subject is to fuck around with it (playing random songs you like on your guitar, drawing cool shapes and noticing patterns in them, etc), but our schools are ill equipped for such things, and enabling this style is difficult and incredibly expensive.