Valid Argument Forms

Question 1

Modus Ponens

Answer 1

If P, then Q
P
Therefore, Q

Question 2

Modus Tollens

Answer 2

If P, then Q
Not Q
Therefore, not P

Question 3

Categorical Syllogism

Answer 3

All As are Bs
X is an A
Therefore, X is a B

Question 4

Hypothetical Syllogism

Answer 4

If P, then Q
If Q, then R
Therefore, if P, then R

Question 5

Disjunctive Syllogism

Answer 5

P or Q
Not P
Therefore, Q