Definition:Categorical Syllogism/Premises
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Definition
There are two premises in a categorical syllogism:
Major Premise
The major premise of a categorical syllogism is conventionally stated first.
It is a categorical statement which expresses the logical relationship between the primary term and the middle term of the syllogism.
Minor Premise
The minor premise of a categorical syllogism is conventionally stated second.
It is a categorical statement which expresses the logical relationship between the secondary term and the middle term of the syllogism.
Also see
- Results about premises of categorical syllogisms can be found here.
Sources
- 1965: E.J. Lemmon: Beginning Logic ... (previous) ... (next): Chapter $4$: The Predicate Calculus $2$: $4$ The Syllogism
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): syllogism
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): syllogism