conditional truth table three simple statements

Logical Equivalence - Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Reca..

Conditional and Biconditional Statements - It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities an..

If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisibl..

If both p and q have the truth value F, p q has the truth value T(F F = T). It should be noted that in the above example, the simple statement p and q depend on each other. In other words, if the truth value of one depends on the truth..

Summary - - A sentence is a statement if it is either true or false, but not both. - The truth and falsity of a statement is its truth value. - A truth table indicates the truth values of a number of statements and thei..

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 ..

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..

Logic Gates - There are digital circuits which either allow a signal to pass through or stop it. The circuits other wise called as gate allows the signal to pass only when some logical condition are satisfied. Under such condition the circuits are called logic gates. They are bu..

Take The Simple Present Tense is used to express habitual action or general truths. Peter takes his dog for a walk. I drink coffee everyday The sun rises in the east Is taking Present Continuous Tense is used for an action going on at the time of speaking. Pe..