Chart that shows the truth-value of one or more compound propositions for every possible combination of truth-values of the propositions making up the compound ones
Truth table can be used to test the validity of arguments
Every proposition is assumed to be either true or false and the truth or falsity each proposition is said to be its truth-value
Truth tables of connectives
Negation
Conjunction
Disjunction
Implication
Equivalence
Tautology
A statement whose truth value is T irrespective of the truth or falsity of its prime statements
Fallacy or contradiction
A statement whose truth value is F irrespective of the truth or falsity of its prime statements
Logically equivalent statements
Two statements that have the identical truth values
Converse statements
A new statement formed by interchanging the hypothesis (p) and the conclusion (q) of the given conditional statement
Inverse statements
The negation of the original hypothesis and the conclusion of a given conditional statements
Contrapositive statements
A new statement whose conclusion is the negation of the original hypothesis of a given conditional statements
