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18 Cards in this Set

  • Front
  • Back
P=Q
P

Q
Modus Ponens (MP)
P=Q
~Q

~P
Modus Tollens (MT)
P=Q
Q=R

P=R
Chain Argument (CA)
PvQ or PvQ
~P ~Q

Q P
Disjunctive Argument (DA)
P&Q or P&Q

P Q
Simplification (SIM)
P
Q

P&Q
Conjunction (CONJ)
P or Q

PvQ PvQ
Addition (ADD)
P=Q
R=S
PvR

QvS
Constructive Dilemma (CD)
P=Q
R=S
~Qv~s

~Pv~R
Destructive Dilemma(DD)
P=~~P
Double Negation (DN)
(P&Q)=(Q&P)
or
(PvQ)=(QvP)
Commutation (COM)
(P=Q)= (~PvQ)
Implication (IMPL)
(P=Q) = (~Q=~P)
Contraposition (CONTR)
~(PvQ)= (~Q&~P)

or
~(P&Q) = (~Qv~P)
DeMorgen's Law (DEM)
[P=(Q=R)] = [(P&Q)=R]
Exportation (EXPORT)
[P&(Q&R)] = [(P&Q)&R]
or
[Pv(QvR)] = [(PvQ)vR]
Association (ASSOC)
[P&(QvR)] = [(P&Q)v (P&R)]
or
[Pv(Q&R)] = [(PvQ)& (PvR)]
Distribution (DIST)
(PvP)= P
(P&P)= P
Tautology (TAUT)