Lawrence Sklar

Statistical mechanics is one of the crucial fundamental theories of physics, and in his new book Lawrence Sklar, one of the pre-eminent philosophers of physics, offers a comprehensive, non-technical introduction to that theory and to attempts to understand its foundational elements. Among the topics treated in detail are: probability and statistical explanation, the basic issues in both equilibrium and non-equilibrium statistical mechanics, the role of cosmology, the reduction of thermodynamics to statistical mechanics, and the alleged foundation of the very notion of time asymmetry in the entropic asymmetry of systems in time. The book emphasises the interaction of scientific and philosophical modes of reasoning, and in this way will interest all philosophers of science as well as those in physics and chemistry concerned with philosophical questions. The book could also be read by an informed general reader interested in the foundations of modern science

In theoretical physics the physical states of systems are represented by components of mathematical structures. This paper explores three ways in which the representation of states by mathematics can give rise to foundational problems, sometimes on the side of the mathematics and sometimes on the side of understanding what the physical states are that the mathematics represents, that is on the side of interpreting the theory. Examples are given from classical mechanics, quantum mechanics and statistical mechanics

Salmon, following Reichenbach and others, maintained that distant simultaneity was conventional in a special relativistic world in a way in which this was not so in prerelativistic spacetime. This paper surveys and criticizes a number of proposals to unpack this claim. It goes on to argue that if the claim has validity, it rests upon differing facts about epistemic accessibility of temporal relations in the different spacetimes, and not directly upon any facts about differing causal structures in these worlds.

Mathematical physics works by representing the contents of the world and the world’s dynamical changes by the components of some mathematical structure and the transformations one can impose on these components. Quite rightly, philosophers of science have concentrated much attention on trying to understand how physicists arrive at the appropriate transformational rules to represent dynamical evolution in the world, that is, on how they find the correct laws of nature. But the preliminary problem, how to choose the appropriate mathematical representatives for the things of the world and their states of being, has received, perhaps, less attention than it deserves.