Question, does this follow the same trend as other
Relationships..for example Mathematics can be said to be the 'software' of high-level physics..do we see the same trends in that there is a high-level in Mathematics where new theories are being created but a lower level where a large amount of people use tools to apply these new theories?
If so, than are we facing the same exact problem just in a different field?
My take on it, is that we never fully mastered teaching how to come up with abstractions and new models..tangential proof is the large number of religions created to come up with new models of explaining how the =universe works.
> do we see the same trends in that there is a high-level in Mathematics where new theories are being created but a lower level where a large amount of people use tools to apply these new theories?
Definitely.
If you allow more longer-running examples, this is exactly the situation of calculus. The Calc I-III that many use regularly is the application; Real Analysis is the theory. Ditto for any "applied" sort of math you can think of (stats, crypto, machine learning, etc. -- all basically just use theorems which are the "abstract interfaces" to pure mathematics.)
> we never fully mastered teaching how to come up with abstractions and new models
And we never will, as long as the human race continues progressing :-)
If so, than are we facing the same exact problem just in a different field?
My take on it, is that we never fully mastered teaching how to come up with abstractions and new models..tangential proof is the large number of religions created to come up with new models of explaining how the =universe works.