Ad Hoc Auxiliary Hypotheses and Falsificationism

In the history of science, there are various instances of theory-modification by auxiliary hypotheses, as distinct from wholesale theory-replacement. And these instances include familiar episodes in which the new auxiliaries prompted cries of ad hoc, epistemic caveats or at least a clear appreciation of considerable epistemic risk from some segments of the scientific community. In each such episode, a modifying collateral assumption H repaired a troubled major theory T1 by then enabling the ensuing modified version T2 to explain deductively a known fact E which is contrary to T1. Thus T2 is logically incompatible with T1.1 But the new auxiliary H was