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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
Summary - A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operations. Moreover, for all x B, the..
Summary - A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operations. Moreover, for all x B, the..See what our Users say :
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