value proposition

Proposition or statement and Truth Value of a statement - A declarative sentence which is true or false but not both is called a proposition..

A declarative sentence which is true or false but not both is called a proposition. Truth value is the truthfulness of statement. If a statement is true its truth value is T, if a statement is false then its truth value is ..

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..

Logical Equivalence and Duality - Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it ..

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..

If p and q are two propositions, then the compound proposition "p and q" is known as conjunction of the proposition. It is denoted by [The conjunction of two propositions p and q is true if both p and q are true and in all other cases it is false] The trut..

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 ..

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 value of the other..

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. Recall the same truth ta..