Tautology
A compound statement is said to be a tautology, if it is always true for all possible combinations of the truth values of its components. A tautology is also called a theorem or a logically valid statement patter..
Method 1:
Construct the truth table of the conditional P 1 P 2 P 3 .... P m Q and find out whether it is a tautology or not. If it is a tautology then the argument is valid otherwise it is said to be inval..
Construct the truth table of the conditional P 1 P 2 P 3 .... P m Q and find out whether it is a tautology or not. If it is a tautology then the argument is valid otherwise it is said to be inval..Arguments and their Validity A compound proposition is a tautology if it is always true for all possible combination of the truth values of its components. If a compound proposition which is always false for all possible combination of the truth values, of its components then it is called a contradiction. Consider tw..
A compound proposition is a tautology if it is always true for all possible combination of the truth values of its components. If a compound proposition which is always false for all possible combination of the truth values, of its components then it is called a contradiction. Consider tw..Example:
Test the validity of the following argument. P 1 : p q P 2 : q p, Q:p q To test the validity of the argument, we have to show P 1 P 2 Q is a tautology. Since the truth value of the last column are not all T..
Test the validity of the following argument. P 1 : p q P 2 : q p, Q:p q To test the validity of the argument, we have to show P 1 P 2 Q is a tautology. Since the truth value of the last column are not all T..Boolean Algebra Summary
q is false only when p is true and q is false. In other cases, it is true. If p q, then the contrapositive of this proposition is -q -p. The biconditional p q is true only when both p and q are true or both p and q are false. A compound proposition which is always true for all combination of truth v..
q is false only when p is true and q is false. In other cases, it is true. If p q, then the contrapositive of this proposition is -q -p. The biconditional p q is true only when both p and q are true or both p and q are false. A compound proposition which is always true for all combination of truth v..See what our Users say :
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