Josiah Willard Gibbs and the Foundations of Statistical Mechanics

In this study, I discuss the development of the ideas of Josiah Willard Gibbs' Elementary Principles in Statistical Mechanics and the fundamental role they played in forming the modern concepts in that field. Gibbs' book on statistical mechanics became an instant classic and has remained so for almost a century.     

Hot and Heavy Matters in the Foundations of Statistical Mechanics

Are the generalizations of classical equilibrium thermodynamics true of self-gravitating systems? This question has not been addressed from a foundational perspective, but here I tackle it through a study of the “paradoxes” commonly said to afflict such systems. My goals are twofold: (a) to show that the “paradoxes” raise many questions rarely discussed in the philosophical foundations literature, and (b) to counter the idea that these “paradoxes” spell the end for gravitational equilibrium thermodynamics.