Statistical Mechanics/The Foundations/Definitions

So, how do we define temperature? Pressure?

Extensive parameters are given with the problem, but these Intensive parameters have a much deeper meaning that gives truth to the reasoning of why we separate between extensive and intensive parameters. So, without further ado:

T = (∂U/∂S)V,N

P = -(∂U/∂V)S,N

μ = (∂U/∂N)S,V