| Symbol |
Logical Function |
Basic Translation |
| ~ | Negation |
not |
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Conjunction |
and |
| v | Disjunction
or Alternation |
or |
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Material
Implication |
if...then |
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Material
Equivalence |
if and only
if |
| P | ~
P |
| T |
F |
| F |
T |
| P Q |
P Q |
P v Q | P Q |
P Q |
| T T |
T |
T |
T |
T |
| T F |
F |
T |
F |
F |
| F T |
F |
T |
T |
F |
| F F |
F |
F |
T |
T |