syllogism

syl·lo·gism

noun \ˈsi-lə-ˌji-zəm\

Definition of SYLLOGISM

1

: a deductive scheme of a formal argument consisting of a major and a minor premise and a conclusion (as in “every virtue is laudable; kindness is a virtue; therefore kindness is laudable”)

2

: a subtle, specious, or crafty argument

3

: deductive reasoning

— syl·lo·gis·tic \ˌsi-lə-ˈjis-tik\ adjective

— syl·lo·gis·ti·cal·ly \-ti-k(ə-)lē\ adverb

Examples of SYLLOGISM

1. An example of a syllogism is: “All men are human; all humans are mortal; therefore all men are mortal.”

Origin of SYLLOGISM

Middle English silogisme, from Anglo-French sillogisme, from Latin syllogismus, from Greek syllogismos, from syllogizesthai to syllogize, from syn- + logizesthai to calculate, from logos reckoning, word — more at legend

First Known Use: 14th century

Other Logic Terms

a posteriori, connotation, corollary, inference, mutually exclusive, paradox, postulate

Rhymes with SYLLOGISM

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syllogism

noun    (Concise Encyclopedia)

Form of argument that, in its most commonly discussed instances, has two categorical propositions as premises and one categorical proposition as conclusion. An example of a syllogism is the following argument: Every human is mortal (every M is P); every philosopher is human (every S is M); therefore, every philosopher is mortal (every S is P). Such arguments have exactly three terms (human, philosopher, mortal). Here, the argument is composed of three categorical (as opposed to hypothetical) propositions, it is therefore a categorical syllogism. In a categorical syllogism, the term that occurs in both premises but not in the conclusion (human) is the middle term; the predicate term in the conclusion is called the major term, the subject the minor term. The pattern in which the terms S, M, and P (minor, middle, major) are arranged is called the figure of the syllogism. In this example, the syllogism is in the first figure, since the major term appears as predicate in the first premise and the minor term as subject of the second.