In L. Mozart's book about violin playing, he goes to great lengths to explain how to determine which way to bow per note. I'm seeing a lot of arbitrary rules in the sense that that he doesn't really explain the ultimate logic behind them. It may look nice if everyone bows the same, but it doesn't mean it is the best.
Usually there are several side cases for the standard "alternate bowings, downbow on down beat" type of rule, of which I haven't figured out why he is mentioning them and he doesn't really explain why, but just how.
What is the ultimate "law" of bowing strokes? Is there a way to take a non-marked piece of music an determine the bowings that give the most correct way to play it (and what is correct then?)?
I'm not one to just blindly follow a set of rules, no matter who the authority. Obviously down bows and up bows are different and produce a subtle accent difference, and we usually want the accents to align with the meter, but is that the basis for all the rules?
I'd like a somewhat comprehensive answer, if one exists. A lot of technique is based on strong experiences, but I have yet to see how the bowing theories apply, except in multiple bowing instruments having a unity through their bowing direction... which looks nice but also provides an enhancement of the differences between them. While this is true, it doesn't explain why the specific rules were chosen, except as possibly a standard that everyone can agree on (e.g., like 440hz tuning standard). I'd like to know if there is something more to it, which should explain the rules he gives (the why part that he left out).