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16 Cards in this Set
- Front
- Back
Indempotence |
(P\/P) <--> P (P/\P) <-->P |
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Associativity |
[(P/\Q)\/R] <--> [P\/(Q\/R)] [(P/\Q)/\R] <--> [P/\(Q/\R)] |
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Commutativity |
(P\/Q) <--> (Q\/P) (P/\Q) <--> (Q/\P) |
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Distributivity (\/ over /\) |
[P/\(Q\/R)] <--> [(P/\Q) \/ (P/\R)] [P\/(Q/\R)] <--> [(P/\Q) \/ (P/\R)] |
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Law of Excluded middle |
[P\/(--P)] <--> T |
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Law of contradiction |
P/\(--P) <--> F |
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Law double negation |
--(--P) ↔ P |
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Law of simplification |
[(PΛQ) → P] ↔ T [(PΛQ) → Q] ↔ T |
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Law of addition |
[P→(PvQ) ↔ T |
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Domination |
(PvT) ↔ T (PΛF) ↔ F |
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Identity |
(PvF) ↔ P (PΛT) ↔ P |
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De'Morgans laws |
[ --(PvQ)] ↔ [(--P) Λ (--Q)] [ --(PΛQ)] ↔ [(--P) V (--Q)] |
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Distributivity (/\ over \/) |
[P v (QΛR)] ↔ [(PvQ) Λ (PvR)] [(PΛQ) v R] ↔ [(PvR) Λ (R v Q)] |
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Modus podens |
[PΛ(P→Q)] → Q |
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Implication |
(P→Q) ↔ [--(PΛ(--Q))] ↔ [(--P) v Q] |
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Negation of implication |
[--(P→Q)] ↔ [PΛ(--Q)] |