Burleigh's Paradox

Walter Burleigh in his c. 1323 De Puritate Artis Logicae Tractatus Longior considers a counterexample to hypothetical syllogism. The paradox implied by Burleigh's inference has come to be known as the problem of the ass (asinum), or, more prosaically, ‘You are an ass’. The argument states: ‘If I call you an ass, then I call you an animal; if I call you an animal, then I speak truthfully; therefore, if I call you an ass, then I speak truthfully’. Burleigh's paradox is reconstructed and formalized for purposes of critical analysis, in which the putative counterexample is ultimately shown to involve a fallacy of equivocation.