> My feeling is that it's not really fruitful to describe "real life" phenomena in terms of abstract algebraic mathematical structures I disagree, however I do

> My feeling is that it's not really fruitful to describe "real life" phenomena in terms of abstract algebraic mathematical structures I disagree, however I don't think you're enterily wrong. We just need a physical theory to bridge the abstract mathematics with the real world. as a starting point it occurs to me to wonder what does throwing a ball have to do with F = ma also, the whole point of math is to do everything with such a level of abstraction that you can apply the abstractions to many things.