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16 Cards in this Set

  • Front
  • Back

Indempotence

(P\/P) <--> P


(P/\P) <-->P

Associativity

[(P/\Q)\/R] <--> [P\/(Q\/R)]


[(P/\Q)/\R] <--> [P/\(Q/\R)]

Commutativity

(P\/Q) <--> (Q\/P)


(P/\Q) <--> (Q/\P)

Distributivity (\/ over /\)

[P/\(Q\/R)] <--> [(P/\Q) \/ (P/\R)]


[P\/(Q/\R)] <--> [(P/\Q) \/ (P/\R)]

Law of Excluded middle

[P\/(--P)] <--> T

Law of contradiction

P/\(--P) <--> F

Law double negation

--(--P) ↔ P

Law of simplification

[(PΛQ) → P] ↔ T


[(PΛQ) → Q] ↔ T

Law of addition

[P→(PvQ) ↔ T

Domination

(PvT) ↔ T


(PΛF) ↔ F

Identity

(PvF) ↔ P


(PΛT) ↔ P

De'Morgans laws

[ --(PvQ)] ↔ [(--P) Λ (--Q)]


[ --(PΛQ)] ↔ [(--P) V (--Q)]

Distributivity (/\ over \/)

[P v (QΛR)] ↔ [(PvQ) Λ (PvR)]


[(PΛQ) v R] ↔ [(PvR) Λ (R v Q)]

Modus podens

[PΛ(P→Q)] → Q

Implication

(P→Q) ↔ [--(PΛ(--Q))] ↔ [(--P) v Q]

Negation of implication

[--(P→Q)] ↔ [PΛ(--Q)]