 Logics of conditionals deal with inferences involving sentences of the form “if A, (then) B” of natural language. Despite the overwhelming presence of such sentences in everyday discourse and reasoning, there is surprisingly little agreement about what the right logic of conditionals might be, or even about whether a unified theory can be given for all kinds of conditionals. The problem is not new, but can be traced back to debates between Megarian and Stoic logicians (see Sextus Empiricus, Outlines of Scepticism II, 110–112; Kneale &amp; Kneale 1962; Sanford 1989; Weiss 2019). Famously, Philo of Megara proposed that a conditional of the form “if A then B” is true exactly when it is not the case that A is true and B is false. The same definition is at the core of the modern treatment of the conditional as so-called “material implication” in the two-valued propositional framework of Frege (1879) and Whitehead and Russell (1910).