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ADJ P, Q
... P /\ Q
S P /\ Q
... P
... Q
ADD P
... P \/ Q
... Q \/ P
MTP P \/ Q
~P ... Q
~Q ... P
CB P->Q, Q->P
... P<->Q
BC P <-> Q
... P->Q
... Q->P
HS P->Q, Q->R
...P -> R
CP1 P -> Q
... ~Q -> ~P
CP2 ~P -> ~Q
...Q -> P
NBI ~(P <-> Q)
... P <-> ~Q
NBO P <-> ~Q
... ~(P <-> Q)
NCC ~(P->Q)
... P /\ ~Q
CNC P /\ ~Q
... ~(P->Q)
DMCD ~(P /\ Q)
... ~P \/ ~Q
DMDC ~(P \/ Q)
... ~P /\ ~Q
CDJ P -> Q
... ~P \/ Q
DJC P \/ Q
... ~P -> Q
SCA P -> Q
~P -> Q
... Q
SCB P \/ R
P -> Q
R -> Q
... Q
It's sufficient for P that Q Q -> P
FLIP
It's necessary for P that Q P -> Q
Necessary: Need to Keep
Necessary and Sufficient for P that Q P<->Q
Tautology, TVA For a statement,
All TVAs True
Contradiction, TVA For a statement,
All TVAs False
Consistent, TVA For a set of statements,
At least 1 TVA is true for all statements in the set
Inconsistent, TVA For a set of statements,
No TVAs is true for all statements in the set
Contingent, TVA For a statement,
Some TVA true, some TVA false
Logical equivalent, TVA For a set of statements,
All TVAs have the same value
Argument valid, TVA... TVA with true premises means conclusion true
Argument invalid, TVA... At least 1 TVA where premises are True, conclusion is False
Predicate letters F - O
1 or multi place predicates
Term a - e Names
Term v - z Variables
Term operators f - h
Create new terms from terms