Swyneshed, Aristotle and the rule of contradictory pairs (Q2307714)

This paper clarifies the position of Roger Swyneshed, who, in his treatise (early 1330s) on ``insolubles'' (logical paradoxes), drew three corollaries from his solution, the third of which states that there is a contradictory pair of propositions both of which are false. Swyneshed claimed that his solution to the logical paradoxes is not contrary to Aristotle's teaching. ``Insolubles are false, he said, because they falsify themselves; and their contradictories are false because they falsely deny that the insoluble itself is false.'' His solution ``depends crucially on the revision he makes to the acount of truth and falsehood.'' The author also argues that Dialetheism, the contemporary claim that some propositions are both true and false, differs in essential respects from ``Swyneshed's logical heresy.''