The context-free weak ordering principle (that rational preferences are weakly ordered, and that subtracting members from the domain of alternatives does not alter the ordering of the original domain, see, for example, Savage, 1972, pp. 205–6; McClennen, 1990, pp. 29–30) is viewed by many as a cornerstone of rational choice theory. McClennen, for example, claims (1990, p. 1) that this principle is one of a pair on which '[t]he theory of rational choice and preference, as it has been developed in the past few decades by economists and decision theorists, rests', and Sen (1970, p. 17) characterizes a version of context freedom (the ‘independence of irrelevant alternatives’, or ‘property α’) as ‘a very basic requirement of rational choice’. But this principle is certainly not uncontroversial: there are examples of (putative) principle is certainly not apper irrational.