Review. The Nine Rules of Inference

12/21/06

1. Modus Ponens (MP)

p⊃q,
p
∴
q

2. Modus Tollens (MT)

p⊃q,
~q
∴
~p

3. Hypothetical Syllogism (HS)

p⊃q,
q⊃r
∴
p⊃r

4. Disjunctive Syllogism(DS)

p∨q,
~p
∴
q

5. Constructive Dilemma (CD)

(p⊃q).(r⊃s),
p∨r
∴
q∨s

6. Absorption (Abs)

p⊃q
∴
p⊃(p.q)

7. Simplication (Simp)

p.q
∴
p

8. Conjunction (Conj)

p
∴
p.q

9. Addition(Add)

p
∴
p∨q

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