Categorical Statements
What are the four categorical statement forms?
All S are P
No S are P
Some S are P
Some S are not P
If one is true, the other must be false is an example of which relationship?
Contradiction
What is the relationship between A & O statements?
Contradiction
Every problem was confusing.
All problems are confusing problems.
If A is true, what is O?
False
Which statement is Universal Affirmative?
A; All S are P
If both cannot be false, but both can be true, what is the relationship?
Subcontrariety
What is the relationship between O & E?
What is superimplication?
Someone ate my cookies.
Some person is a my cookie eater.
Some person is a person who ate my cookies.
If I is false, what is O?
true
Which statement is Universal Negative?
E; No S are P.
If both cannot be true, but both can be false, what is the relationship?
Contrariety
What is the relationship between E & A?
Contrariety
Nobody goes to sleep at noon.
No person is a person who sleeps at noon.
No person is an at-noon-sleeper.
If O is true, what is E?
unknown
Which statement is Particular Negative?
Some S are not P.
If the truth of the one influences the truth of the other, what is it?
Subimplication
What is the relationship between I & O?
Subcontrariety
Some days the sun just doesn't shine.
Some days are not sunshine days.
Some days are not days that the sun shines.
If I is false, what is A?
False
Which statement is Particular Affirmative?
I; Some S are P.
What are the rules for translating sentences into categorical statements?
1-statement must begin with all, no, or some
2-the verb is a verb of being: is, are, was, were, will be, etc...
3-subject and predicate must be nouns or noun phrases
What is the relationship between A & I?
Subimplication
Every good boy does fine.
All good boys are boys who do fine.
If E is true, what is O?
True