One of Gibbs’s ideas that has gone unnoticed (comment on chapter IX of his classic book)
Peoples' Friendship University of Russia, ul. Miklukho-Maklaya, 6, Moscow, 117198, Russian Federation
We show that contrary to the commonly accepted
view, Chapter IX of Gibbs’s book  contains the prolegomena
to a macroscopic statistical theory that is qualitatively different from his own microscopic statistical mechanics. The formulas obtained by Gibbs were the first results in the history of physics related to the theory of fluctuations in any macroparameters, including temperature.