A problem for epistemic counter-closure

Papers dealing with the puzzle of epistemic closure have been a cottage industry in philosophy for some decades, but there is another problem for inferential knowledge, epistemic counter-closure. In what follows, I provide an overview of the three major diagnoses of where the problem lies and proposals for solving it, then note that there are test cases from history of science that aren't addressed by the three proposals, specifically the mature nineteenth century version of miasmatic theory developed by Dr William Farr.