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:
| \(\ds P:\) | the primary term | ||||||||
| \(\ds M:\) | the middle term | ||||||||
| \(\ds S:\) | the secondary term |
$(3): \quad$ Each of the premises and conclusion is a categorical statement.
Subcategories
This category has the following 10 subcategories, out of 10 total.
Pages in category "Categorical Syllogisms"
The following 12 pages are in this category, out of 12 total.
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- 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