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Categorical statement
is a statement that relates two classes or categories.
Example of a categorical statement
All trees are plants.
No plants are animals.
Some animals are dogs.
Some dogs are collies
Standard form of categorical statements
A, E, I, and O
A:
Form: All S are P
Quantity: Universal
Quality: affirmative
E:
Form: No S are P
Quantity: universal
Quality: negative
I:
form: Some S are P
Quantity: particular
Quality: affirmative
O:
Form: Some S are not P
quantity: particular
quality: negative
Affirmative statement
says that some or all of the members of the class denoted by the subject term are also members of the class denoted by the predicate term
Negative statement
denies that some or all of the members of the class denoted by the subject term are also members of the class denoted by the predicate term
Universal statement
makes a claim about everything in the class denoted by its subject term
Particular statement
only makes a claim about something in the class denoted by its subject term
Contraries
if two statements cannot both be true but can both be false
Stylistic Variant
A statement is a different way of saying the same thing
necessary truth
if it cannot be false under any possible circumstances
Subcontraries
if they cannot both be false but they can be true
necessary falsehood
if it cannot be true in any possible circumstances
Subalternation
is the logical relationship between a universal statement and its corresponding particular statement.
Superaltern
The universal statement is
Subaltern
the particular statement is
major term
___ of a categorical syllogism is the predicate term of the conclusion
Minor term
___ of a categorical syllogism is the subject term of the conclusion
Middle term
___ of a categorical syllogism is the term that occurs once in each premise
Major premise
the premise containing the major term
minor premise
is the premise containing the minor term
mood
Figuring out if the statement is a A,E,I, O and what order they are in. Like AEA
Traditional Opposition

Traditional square Opposition A ← → E
Contraries
Traditional square opposition A← → O
Contradictories
Traditional square opposition A ← → I
Subalternation
Traditional square opposition E ← → O
Subalternation
Traditional square opposition E ← → I
Contradictories
Traditional square opposition O ← → I
Subcontraries