a form of proof or reasoning (way of giving reasons) in which one categorical proposition is established by comparing two others that contain together only three terms, or that have one and only one term in common

an argument consisting of exactly three categorical

a special kind of syllogism in which both the premises and the conclusion are categorical propositions, and in which there are three terms, each occurring twice, with each term assigned the same meaning throughout the argument

a three-line argument that relies upon a Categorical Statement (E

One of a family of deductive arguments, some valid and others invalid, each with three categorical statements--two as premises, one as conclusion.