Entropy

We should proceed inductively, thinking about entropy in the way that it was initially thought of by people like Clausius, and only then proceeding to Boltzmann's explanation of it in terms of micro-states.

Original version

As background, we start with the fact that there is such a thing as heat, and such a thing as work. They have some interchangeability: You can turn heat into work via an engine (boil water to push a turbine up), and you can turn work into heat via friction (Joule's machine).

We observe that some transfers of energy are reversible, like one kid pushing another up on a seesaw, and some are not, like Joule's machine. (Marletto calls the former "work-like" and the latter "heat-like.")

[TODO]