enthymeme
Noun
Meaning
An argument consisting of only two propositions, an antecedent and consequent deduced from it; a syllogism with one premise omitted; as, We are dependent; therefore we should be humble. Here the major proposition is suppressed. The complete syllogism would be, Dependent creatures should be humble; we are dependent creatures; therefore we should be humble.
Source: Webster's dictionarySynonyms
Related terms
Examples
An "enthymeme" would follow today's form of a syllogism; however it would exclude either the major or minor premise.
An enthymeme is persuasive because the audience is providing the missing premise.
However, the enthymeme based upon logic (especially, based upon the syllogism) was viewed as the basis of rhetoric.