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An enthymeme is an informally stated syllogism (a three-part deductive argument) with an unstated assumption which must be true for the premises to lead to the conclusion. In an enthymeme, part of the argument is missing because it is assumed. In a broader usage, the term "enthymeme" is sometimes used to describe an incomplete argument of forms other than the syllogism.^[1] Artistotle gave no complete definition of the Enthymeme in his Rhetoric, and its exact definition has been debated by scholars.

Contents 1 Enthymeme's three parts 2 More examples 3 Enthymeme use in humor 3.1 Example 4 Use in advertising 5 Notes 6 References 7 See also 8 External links

The following quotation is an example of an enthymeme.

"There is no law against composing music when one has no ideas whatsoever. The music of Wagner, therefore, is perfectly legal." —Mark Twain.

The three parts:

There is no law against composing music when one has no ideas whatsoever. (premise)

The music of Wagner, therefore, is perfectly legal. (conclusion)

Wagner has no ideas. (implicit premise)

First example: Socrates is mortal because he's human.

The complete syllogism would be the classic:

All humans are mortal. (major premise - assumed)

Socrates is human. (minor premise - stated)

Therefore, Socrates is mortal. (conclusion - stated)

Second example: "The glove doesn't fit [the defendant], so you must acquit."

This argument is based on one used by Johnnie Cochran in his defense of O.J. Simpson.

The complete syllogism would be:

If evidence does not fit the defendant, then acquittal is required (major premise - assumed)

The glove doesn't fit the defendant. (minor premise - stated)

The glove is evidence. (minor premise - assumed)

Therefore, you must acquit the defendant. (conclusion - stated)

Stating the argument in this extended form suggests the argument is incomplete. For example, one might be more likely to ask if the glove might have shrunk, ask how "fit" is determined, or ask about the meaning of the expression the glove: What do you mean the glove?. The presence of the definite article the suggests that there is a definite descriptor phrase with the same meaning in this context. Examples of such phrases could be

• The glove found at the scene of the crime
• The glove used by the assailant.

For some definite descriptor phrases, the major premise of the above syllogism is clearly suspect.

Hidden premises are often an effective way to obscure a questionable or fallacious premise in reasoning. Typically fallacies of presumption (fallacies based on mistaken assumptions, such as ad hominem or two wrongs make a right) are attracted to enthymeme.

Enthymeme can be a humorous technique when the hidden premise is something surprising due to the context, its offensiveness or its absurdity.

"Now, I don't know or have never met my candidate; and for that reason I am more apt to say something good of him than anyone else." —Will Rogers.

Advertisers rarely draw out the links between the images they show and the product they wish to sell. There is no logical connection between a beautiful woman draped across the hood of a red sports car and the value of the car itself, but the advertiser implies a premise that there is. If the advertiser instead simply stated, "Buy this car and you will have more sexual satisfaction" it would be easier to reject as a premise.

To use another example, advertisers often show examples of people enjoying their product. They never actually state that the viewer should purchase the product or service that is bringing the people such enjoyment; it is an implied major premise.

Enthymemes are generally used for two reasons:

• The implied premise is obvious
• The implied premise is dubious

An example of the second reason would be, "Of course he is dumb, he is a man." The implied premise is "All men are dumb," which can easily be proven false by proving that one man is not "dumb," so the premise is left out in the hopes that the listener might not realize what was implied. When used in daily conversation, the implied premise is usually less obvious.

1. ^ Audi, R. (ed.), The Cambridge Dictionary of Philosophy - 2nd ed., pp. 257, 267. Cambridge University Press, 1999.

• Logical fallacy
• Senator, you are no Jack Kennedy

• Extensive bibliography of enthymeme in scholarly literature
• The enthymeme in modern speech
• Audio illustrations of enthymeme