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 only the following subcategory.
Pages in category "Categorical Syllogisms"
The following 18 pages are in this category, out of 18 total.
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- No Valid Categorical Syllogism contains two Negative Premises
- No Valid Categorical Syllogism contains two Negative Premises/Historical Note
- No Valid Categorical Syllogism contains two Particular Premises
- No Valid Categorical Syllogism with Particular Premise has Universal Conclusion
- Number of Standard Instances of Categorical Syllogism
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