 As the example illustrates, regressive mind changes are associated with cycles of conjectures. This is because a reliable method must eventually return a true hypothesis after adopting a false one, so a regressive mind change leads to at least one cycle true conjecture-false conjecture-true conjecture. Methods that avoid regressive mind changes are therefore studied under the heading of cycle-free learning [Genin and Kelly 2015] or minimizing U-turns [Carlucci et al. 2005]. Genin and Kelly [2015, 2019] provide a general result that elucidates the general methodological import of avoiding regressive mind changes and cycles of conjectures (described in  Section 5.4).  Their result belongs to a family of theorems that establish a striking connection between avoiding mind changes and Ockham’s razor, which we discuss in the next section.