chaz wyman wrote:
You don't get maths from experience. If you were not taught it as a system you would not simply find it in the world. You seem to be confusing the object with the conception of it.
If you look closely at a spider's thread you will find that it is made of molecules - not a continuous straight line. It also has depth- which a straight line does not. The line is an abstraction for reasons of measurement.
I'm not sure what else I can offer you....
Could be, depends upon which objects and conception we're talking about. My take is your claim is that Maths is not a historical development from the experience of us being a perceiving object in a world of objects. At base Maths is number and there's lot of objects, ten digits for a start. Before the written symbols I guess set counting was popular. At the right distance webs have sorts of close geometrical shapes to provide the ground for the drawn constructs of line, curves, polygons. Rain on still water shows circles endlessly.
As for Kant - I don't think he has a monopoly on these terms.
Logic is the same as maths. It is a system that unpacks linguistics, and renders it to reason. It is an abstract system. But I see no reason to assume that the universe is written in maths or logic. These are human ways to help understand them. In the human realm they are part of experience, but take the humans away and the universe abides without logic or maths.
I don't disagree but the thing for me is, does it unpack linguistics? I accept Logic is based in language and unpacks the declarative proposition and maybe a couple of other things, like symbolism. But we know the failure of trying to give maths a solid ground in logic and the insights it gave(buggered if I truly understand them). So maybe maths is one of those things logic can't talk about but can only be pointed at, as its rooted in a world of objects in the same way logic is, i.e. if there are objects and states of affairs then there is Logic and Maths? And this would be the case even if there were no perceiving objects, just no-one to know about it.
So its not that its written in the maths or logic but whatever it is, is a state of affairs and objects, so it has to be be modelled in these systems?