Poincaré, Poincaré recurrence and the H -theorem: A continued reassessment of Boltzmannian statistical mechanics

In [C. G. Weaver Found. Phys. 51, 1 (2021)], I showed that Boltzmann's H-theorem does not face a significant threat from the reversibility paradox. I argue that my defense of the H-theorem against that paradox can be used yet again for the purposes of resolving the recurrence paradox without having to endorse heavy-duty statistical assumptions outside of the hypothesis of molecular chaos. As in [C. G. Weaver Found. Phys. 51, 1 (2021)], lessons from the history and foundations of physics reveal precisely how such resolution is achieved.