In formal logic, a set of statements; one of which appears to be implied by the others.
An Argument
Contains the major term.
Major Premise
The predicate of the conclusion and used in one premise.
Major Term
The mood and figure of the syllogism.
Form
No P are M
All S are M
Therefore, Some S are not P
EAO-2
A deductive argument with two premises and three terms.
A Syllogism
Contains the minor term.
Minor Premise
The subject of the conclusion and used in one premise.
Minor Term
The number from 1-4 identifying the placement of its middle term.
The Figure
All P is M
No S is M
Therefore, No S is P
AEE-2
A statement in an argument that appears to be implied by the premises.
A Conclusion
Major Premise, Minor Premise, and then Conclusion
Standard Order for Statements in a Syllogism
A term found in each premise.
Middle Term
To set out the schema of the syllogism.
Schematize
No M is P
Some S is M
Therefore, Some S is not P
EIO-1
Therefore, thus, so, or in conclusion are indicators of a...
A number identifying the placement of the middle term in the premises.
The figure of a Syllogism
All Jeeps are off-road vehicles
All off-road vehicles are SUVs
Therefore, all Jeeps are SUVs
What is "Jeeps"?
Minor Term
The amount of types of categorical statements.
4
No P is M
All M is S
Therefore, No S is P
EAE-4
A particular form for organizing categorical statements into an argument.
Syllogism
Because, since, for, or given that are indicators of a...
Premise
Bread is not the same as crackers because bread is not crunchy and crackers are crunchy.
What is "crunchy"?
The Middle Term
A syllogism consisting of three statements in categorical form.
Categorical Syllogism
Some M is not P
All M is S
Therefore, Some S is not P
OAO-3