What's the difference between "analytic" and "synthetic"?
Is mathematics analytic or synthetic?
Jeremiah Moore
Jack Murphy
>it's an undergrad cannot do math outside undergrad maths episode
Kayden Davis
is analytical philosophy analytic or synthetic?
William Smith
It's neither.
Jason Hall
>it's another Raphi thread
Tyler Wood
The question is wrong. Analytic ultimately implies that all of math can be deduced from first principles, like set theory or whatnot. Bertrand russell tried this and failed. gödel proved this is impossible.
Math ad synthetic means its an arbitrary himan construct culturally contingiwnt. This had also been prooved false. There is only a single system of math with many fields homomorphic to each other.
The best "theory" is platonic mathematical realism, followed by pythagorus, gödel and mac tegmark.
Sebastian Wilson
>There is only a single system of math with many fields homomorphic to each other.
>homomorphic
Under which category? Or are you simply trying to sound smart by misusing category theory terminology?
John Watson
>There is only a single system of math
I really doubt this statement. Mind expanding on it?
Ryan Harris
>say junior year
>as in, 16-17
>eurofag comes in saying 17 condescendingly as if he did it earlier
Josiah Morales
Most PDE's are solved numerically these days anyway. The most important things to know are linear algebra and some functional analysis.