# 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

## Sources

- 1965: E.J. Lemmon:
*Beginning Logic*... (previous) ... (next): $\S 4.4$: The Syllogism - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**syllogism** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**syllogism**