A trivial exercise in mathematics

Let P(f)=0 be an elliptic system of partial differential equations defined over a closed, smooth, oriented n-dimensional manifold X. then:

Topological index of P = Analytical index of P = (-1)^n <ch(s(P)) . td(T_C X), [X]>

where
n is the dimension of the space
s(P) is the symbol of the system
ch is the Chern character
T_C X is the complexified tangent bundle on X
td is the Todd class
. is the cup product
[X] is the fundamental class of X
<a,b> is the Kronecker pairing

In england, science (physics, astrology or maths) are popular dual degrees in good universities. They're pretty hard too.

I do physics and philosophy, but the two maths and philosophy students I know got a total of three yearly prizes for best marks between the both of them. And they're pretty good with analytical philosophy.

Abductively, I infer that >>22 must be a pretty shit academic to be so categorical about something he doesn't know.

However, if >>22 is basing his statement on his experience of emo/goth kids or stoners who think they are 'philosophizing' when they're talking crap, then I retract my statement, and will just conclude that >>22 is very, very naive.

>>23
Indeed. Physics means nature in greek, after all. It is a formalized form of a branch of philosophy called teleology, which has pretty much become entirely formal and merged with physics. But back in the days where physics was being born, teleology was quite central to philosophical thought, and sought to describe the world, its creations, and its mechanics.

Likewise, a lot of these early philosophers were also the forefathers of modern mathematics (thales, pythagora), a trend which continued until Descartes, and arguably, Carroll and Russell.