Key People:
Aristotle
Related Topics:
syllogism
scheme

enthymeme, in syllogistic, or traditional, logic, name of a syllogistic argument that is incompletely stated. In the argument “All insects have six legs; therefore, all wasps have six legs,” the minor premise, “All wasps are insects,” is suppressed. Any one of the propositions may be omitted—even the conclusion; but in general it is the one that comes most naturally to the mind. Often in rhetorical language the deliberate omission of one of the propositions has a dramatic effect. This use of the word differs from Aristotle’s original application of it (in his Prior Analytics, ii, 27) to a rhetorical syllogism (employed for persuasion instead of instruction) based on “probabilities or signs”; i.e., on propositions that are generally valid or on particular facts that may be held to justify a general principle or another particular fact.

syllogism, in logic, a valid deductive argument having two premises and a conclusion. The traditional type is the categorical syllogism in which both premises and the conclusion are simple declarative statements that are constructed using only three simple terms between them, each term appearing twice (as a subject and as a predicate): “All men are mortal; no gods are mortal; therefore no men are gods.” The argument in such syllogisms is valid by virtue of the fact that it would not be possible to assert the premises and to deny the conclusion without contradicting oneself.