biconditional learning

If p and q are two statements then the compound statement p if and only if q", is called the biconditional statement denoted by "p q". "p q" is true when both p and q are true or when both p and q are false..

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 and their truth table and subsequently we shall learn about condi..

If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implicatio..

p q has truth value F if p and q has opposite truth values. That is If p has truth value T and q has the truth value F, p q has truth value F. Also, if p has the truth value F and q has the truth value T, p q has truth value F. Another way of defining biconditional statement is given b..

; The biconditional statement 'p q' of statements p and q is true only when p and q have same truth value..

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 ..