Abstract
Traditional interpretations of the Euthydemus find little of value in its sophistical sections. Where value is found at all it is in those aspects of the sophistic display which point to serious issues in other dialogues. This paper argues that there is methodological value intrinsic to the sophistic sections, that taken together these displays make a coherent and valuable contribution to an understanding of sophistic argumentation, and of the foundations of correct reasoning. Each of the sections deals in some way with the principle of contradiction; it is the manipulation of this principle which produces the sophistic tricks, and the principle itself which reveals and organizes around itself the many sides of the sophistic display. The first display offers an apparent refutation of this principle, one based only on verbal ambiguity. In the second display the principle is denied from Parmenidean and Heraclitean perspectives, and the implications of such are analyzed. In the third display the brothers misapply this principle to relational predicates so as to work their tricks. Plato reveals here the necessity and limits of the principle of contradiction, and how its denial and misuse stand at the basis of various sophistical arguments.