Use a truth table to determine whether the argument is valid or invalid.
Whether the given argument is valid or invalid using the truth table
An Argument and a Valid Argument: Anargumentconsists of a set of statements calledpremisesand another statement called theconclusion. An argument isvalidif the conclusion is true whenever all the premises are assumed to be true. An argument isinvalidif it is not a valid argument.
The following truth table procedure can be used to determine whether an argument is valid or invalid.
Truth Table Procedure to Determine the Validity of an Argument:
A conjunction is a compound statement formed by joining two statements with the connector AND. The conjunction "p and q" is symbolized by. A conjunction is true when both of its combined parts are true; otherwise it is false.
A conditional statement, symbolized by, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol. The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
A disjunction is a compound statement formed by joining two statements with the connector OR. The disjunction "p or q" is symbolized by. A disjunction is false if and only if both statements are false; otherwise it is true.