Hobbes' Choice wrote:Your problem is that you've dismissed Kant, who cleverly separates the synthetic with the analytic.
Not at all. I agree with Kant on that. It's a very good and useful distinction...though I can't see exactly why you regard it as relevant here...
All maths and Logic are tools to describe and measure the world, they are self referral and circular. They work because they are internally coherent.
That they "describe and measure the world," as you put it, would classify them as synthetic, not analytic. That they are "internally coherent" would mark them as analytic. Kant said that analytic and synthetic are different. But you feel content to blend them? That's mysterious...and certainly not Kantian.
The truth is that science is empirical. That means it "describes the world" alright, but is not "analytic" or "internally coherent" at all. Rather, it's probabilistic. I don't know of any philosopher of science who thinks otherwise, so you're a bit off the beaten track there.
When used carefully to describe the phenomenal world they get results.
That's "synthetic". Analytic things don't have to be "used carefully," only "used correctly." For analytic assessments are 100% certain and unaffected by empirical factors, since the systems to which they refer is "internally coherent," not "externally verified." We don't need testing to know 2+2=4, because it's a statement about a closed system called "maths." We do need testing to "get results" on the question of whether or not a bridge will fall down, because it's empirical, and the maths in question may or may not be adequate to the empirical situation in which they are being employed. That's the difference between doing "analytic" work and "empirical" (i.e. scientific) applications of that work.
This is not because the world is inherently "logical" or "mathematical" it is because the world we can perceive but never fully know is necessary, determined and consistent.
"Necessary, determined, and consistent"? Then does that mean you're a fatalist? That seems improbable, because you're debating, aren't you? If everything is really "necessary, determined and consistent" then persuasion is an illusion: people cannot in any real sense "change their minds," anymore than the laws of physics can be changed. Everything is "necessary, determined and consistent" regardless of what we do.