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A critical examination of some basic conceptual issues in classicalstatistical mechanics is attempted, with a view to understanding the origins,structure and statuts of that discipline. Due attention is given to theinterplay between physical and mathematical aspects, particularly regarding therole of probability theory. The focus is on the equilibrium case, which iscurrently better understood, serving also as a prelude for a further discussionof non-equilibrium statistical mechanics.Comment: 33 pages, overview, conceptual discussio

The Fundamental Concepts of Classical Equilibrium Statistical Mechanics.