chaz wyman wrote:... It is much better than faieries, I agree. More useful for one thing, but it reflects nature in human interested ways, It is apriori, not aposteriori.
Never been to happy about these terms. Are you saying that maths is a Kantian type category? Why is it not built upon experience from the world, you get circles in pools from rain, spiders webs show straight lines, as do claw marks. I accept that symbols are ours but maths appears at source to be the language for describing objects. We counted using heterogeneous sets once, we made right angles with rope and chain, a distance was how far we walked, etc. Not arguing that its not apriori when proving its own theorems, just the idea that it was not experience that gave it its grounds. Just as Logic is entailed by there being objects and states of affairs, why is Maths not the same?