 Boltzmann's response (1877a).  Boltzmann's responses to the reversibility objection are not easy to make sense of, and varied in the course of time. In his immediate response to Loschmidt he acknowledges that certain initial states of the gas would lead to an increase of the \(H\) function, and hence a violation of the H-theorem. The crux of his rebuttal was that such initial states were extremely improbable, and could hence safely be ignored.