>>13294305why would it? I mean, math is interconnected, not sequential
you don't need to understand layers and layers of pre-calc to solve calc problems and prove calc theorems
you only need a few bits and pieces
the same happens with any human concept
you only need to know it sufficiently well for the task at hand
do you fully understand how your phone works? no, yet you still use it successfully
even if you were a programmer or engineer, you'd only need to know the basics of, e.g., physics, to get what computers are
this is the same thing, but more abstract (or maybe just as abstract)
you don't need to be at IMO-level of precalc and know thousands of weird identities to understand calc
I mean, just think about it... there's an infinite amount of pre-calc identities, theorems, etc. to be proven and understood
clearly, no human mind has an infinite memory
but we can understand the principles that we can use to reach those theorems, if needed
therefore, a finite knowledge (and how "finite" it should be is up to you, as always) is the only required level
