Truth Table

Truth Table

Table that indicates, for a set of basic propositions and their negations, the truth value of various compositions of propositions using logical connectors.

Examples

P Q ¬P ¬Q P → Q ¬P → ¬Q P ∧ Q P ∨ Q P ↔ Q Q → P
T
T
F
F		 T
F
T
F		 F
F
T
T		 T
T
F
T		 T
F
T
T		 T
F
F
F		 T
F
F
F		 T
T
T
F		 T
F
F
T		 T
T
F
T
  • The truth table of the conjunction of two propositions P and Q is a subset of the previous table:
P Q P ∧ Q
T
T
F
F		 T
F
T
F		 T
F
F
F

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