Logic

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logic

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OperatorNameLogical functionWords to translate

~TildeNegationNot, its not the case (negate) or but

.DotConjunction And, also, moreover, but (combine 2 prop)

vWedgeDisjunctionEither/or, unless

HorseshoeImplicationIf then, only if (antecedent/consequent)

Triple barEquivalenceIf and only if

1. Negation/TildeP~P

TF

FT

-It is not the case that A Ex. ~A2. Conjunction/ dotPQP.Q

TTT

TFF

FTF

FFF

And, but etc Ex. D.C3. Disjunction/WedgePQPvQ

TTT

TFT

FTT

FFF

-true, unless both disjuncts are falsea. inclusive disjunction- Either A or B or both (AvB)b. exclusive disjunction- Either/or but not both

4. Material Implication/ Conditional/horseshoePQPQ

TTT

TFF

FTT

FFT

-true, unless antecedent is true and consequent is false.-Ex: if P then Q= PQ

5. Equivalence/triple barPQPQ

TTT

TFF

FTF

FFT

True, if both are true and both are false (same truth value)

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