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Illicit Major

(also known as: illicit process of the major term)

Description: Any form of a categorical syllogism in which the major term is distributed in the conclusion, but not in the major premise.

Logical Form:

All A are B.

No C are A.

Therefore, no C are B.

Example #1:

All hotdogs are fast food.

No hamburgers are hotdogs.

Therefore, no hamburgers are fast food.

Explanation: In our example, the major term is “fast food”, because it is the term that appears in the major premise (first premise) as the predicate and in the conclusion.  As such, in this position, it is “undistributed”.

Example #2:

All Jim Carrey movies are hilarious.

No horror movies are Jim Carrey movies.

Therefore, no horror movies are hilarious.

Explanation: In our example, the major term is “hilarious”, because it is the term that appears in the major premise (first premise) as the predicate and in the conclusion.  As such, in this position, it is “undistributed”.

Exception: None.

References:

Neil, S. (1853). The Art of Reasoning: A Popular Exposition of the Principles of Logic. Walton & Maberly.

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