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Gibbsian statistical mechanics (GSM) is the most widely used version ofstatistical mechanics among working physicists. Yet a closer look at GSMreveals that it is unclear what the theory actually says and how it bears onexperimental practice. The root cause of the difficulties is the status of theAveraging Principle, the proposition that what we observe in an experiment isthe ensemble average of a phase function. We review different stances towardthis principle, and eventually present a coherent interpretation of GSM thatprovides an account of the status and scope of the principle.

Can Somebody Please Say What Gibbsian Statistical Mechanics Says?