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Implicational Rules
Implication Rules
10
Philosophy
Undergraduate 1
03/05/2007
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Term
Modus Ponens (MP)
 Definition
p->q
p
:. q
Term
Modus Tollens (MT)
 Definition
p->q
~q
:. ~p
Term
Disjunctive Syllogism (DS)
 Definition
p v q
~p
:. q
Term
Simplification (Simp)
 Definition
p . q
:. p
Term
Conjunction (Conj)
 Definition
p
q
:. p . q
Term
Hypothetical Syllogism (HS)
 Definition
p->q
q->r
:. p->r
Term
Addition (Add)
 Definition
p
:. p v q
Term
Constructive Dilemma (CD)
 Definition
p v q
p->r
q->s
:. r v s
Term
Simplification (Simp)
 Definition
p.q
:. q
Term
Addition (Add)
 Definition
p
:. q v p
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