# Category:Categorical Syllogisms

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This category contains results about Categorical Syllogisms.

Definitions specific to this category can be found in Definitions/Categorical Syllogisms.

A **categorical syllogism** is a logical argument which is structured as follows:

$(1): \quad$ It has exactly two premises and one conclusion.

- The first premise is usually referred to as the major premise.
- The second premise is usually referred to as the minor premise.

$(2): \quad$ It concerns exactly three terms, which are usually denoted:

\(\displaystyle P:\) | the primary term | |||||||

\(\displaystyle M:\) | the middle term | |||||||

\(\displaystyle S:\) | the secondary term |

$(3): \quad$ Each of the premises and conclusion is a categorical statement.

## Pages in category "Categorical Syllogisms"

The following 17 pages are in this category, out of 17 total.

### E

### N

### V

- Valid Patterns of Categorical Syllogism
- Valid Syllogism in Figure I needs Affirmative Minor Premise and Universal Major Premise
- Valid Syllogism in Figure II needs Negative Conclusion and Universal Major Premise
- Valid Syllogism in Figure III needs Particular Conclusion and if Negative then Negative Major Premise
- Valid Syllogisms in Figure IV