Valid Arguments | Formal Fallacies |
Affirming the Antecedent
P Q
P
Therefore, Q |
Denying the Antecedent
P Q
P
Therefore, Q |
Denying the Consequent
P Q
Q
Therefore, P |
Affirming the Consequent
P Q
Q
Therefore, P |
Pure Hypothetical Syllogism
P Q
Q R
Therefore, P R |
(No Corresponding Fallacy) |
Disjunctive Syllogism
P Q
P
Therefore, Q |
Disjunctive Fallacy
P Q
P
Therefore, Q |
Constructive Dilemma
P Q
R S
P R
Therefore, Q S |
Constructive Fallacy
P Q
R S
Q S
Therefore, P R |
Destructive Dilemma
P Q
R S
Q S
Therefore, P R |
Destructive Fallacy
P Q
R S
P R
Therefore, Q S |
DeMorgan's Law
(P Q) is equivalent to
( P Q)
And
(P Q) is equivalent to
( P Q)
|
Implication
(P Q) is equivalent to
( P Q)
And also equivalent to
(P Q) |