A formal treatment of the consequences of the Second Law of Thermodynamics in Carathéodory's formulation
The consequences of the Second Law of Thermodynamics, as enunciated in the Principle of Carathéodory, are developed by means of a largely formal argument. The need for the introduction of the Theorem of Carathéodory does not arise. One virtue of the method is the immediacy with which it leads to the Principle of Increase of Entropy.