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Argument Forms
Common arguments forms, both valid and invalid
8
Philosophy
09/21/2011
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Term

P1:      p v q

P2:      ~p

C:        q

 Definition
disjunctive syllogism - valid
Term

P1:     p ⊃ q

P2:     q ⊃ r

C:       p ⊃ r

 Definition
hypothetical syllogism - valid
Term

P1:     p ⊃ q

P2:     p

C:       q

 Definition
modus ponens - valid
Term

P1:     p ⊃ q

P2:     ~q

C:       ~p

 Definition
modus tollens - valid
Term

P1:     p ⊃ q

P2:     q

C:       p

 Definition
affirming the consequent - invalid
Term

P1:     p ⊃ q

P2:     ~p

C:       ~q

 Definition
denying the antecedent - invalid
Term

P1:     (p ⊃ q) • (r ⊃ s)

P2:     p v r

C:       q v s

 Definition
constructive dilemma - valid
Term

P1:     (p ⊃ q) • (r ⊃ s)

P2:     ~q v ~s

C:       ~p v ~r

 Definition
destructive dilemma - valid