The definition of the thermodynamic entropy in statistical mechanics

A definition of the thermodynamic entropy based on the time-dependent probability distribution of the macroscopic variables is developed. When a constraint in a composite system is released, the probability distribution for the new equilibrium values goes to a narrow peak. Defining the entropy by the logarithm of the probability distribution automatically makes it a maximum at the equilibrium values, so it satisfies the Second Law. It also satisfies the postulates of thermodynamics. Objections to this definition by Dieks and Peters are discussed and resolved.