logical cube

{{Short description|Concept in Aristotelian logic}}

{{distinguish | Lambda cube}}

In the system of Aristotelian logic, the logical cube is a diagram representing the different ways in which each of the eight propositions of the system is logically related ('opposed') to each of the others.Hans Reichenbach, 1952, "The Syllogism revised", Philosophy of Science 19(1), pp. 1-16. The system is also useful in the analysis of syllogistic logic, serving to identify the allowed logical conversions from one type to another.Paul Dekker, 2015, "Not Only Barbara", Journal of Logic, Language and Information 24(2), pp. 95-129.