| Term | Definition |
|
Simplification (SIMP) |
P ^ Q (therefore) P, Q |
|
Conjunctive Arguement (CA) |
P, Q (therefore) P ^ Q |
|
Disjunctive Arguement (DA) |
P v Q, ~P (therefore) Q |
|
Strong Disjunctive Arguement (SDA) |
P w Q, P (therefore) ~Q |
|
Addition (ADD) |
P (therefore) P v X |
|
Modus Ponens (MP) |
P --> Q, P (therefore) Q |
|
Application of MP (AMP) |
Q --> R, P --> R (therefore) (P v Q) --> R |
|
Modus Tollens (MT) |
P --> Q, ~Q (therefore) ~P |
|
Material Implication (MI) |
P --> Q Q v ~P ~P v Q something else I couldn't see on the paper D= |
|
Contraposition (MI^2) |
P --> Q ~Q --> ~P |
|
Tautology (TAU) |
S v S (therefore) S |
|
Distributive Property (DIS) |
P ^ (Q v R) (therefore) (P ^ Q) v (P ^ R) |
|
Conditional Sylogism (CS) |
P --> Q, Q --> R (therefore) P --> R |
|
De Morgan (DeM) |
~(P ^ Q) (therefore) ~P v ~Q |