The energy/entropy plot makes total sense, the energy/temperature doesn't really because I don't have a good feel for what temperature actually is, even after reading the "Temperature" section of your argument (it previously made sense because Mathematica was only showing me the linear-like part of the graph). Can you recommend a good text to improve my intuition? Bonus points if this recommendation arrives in the next 9.5 hours, because then I can get the book from my university library.