Even worse is our definition of temperature... it should really be the reciprocal. The thermodynamic definition is:
1/T = dS/dE where S is entropy and E is energy
dS/dE has a nice intuitive ring to it "if I put a small amount of energy into the system, how will its entropy change", but since we declare that to be 1/T we allow crazy things like negative and infinite temperatures (these actually exist - and the negative temperatures are hotter than the positive ones).
