Converse, Inverse and contrapositive of an implication
Hello friends, Welcome to my blog mathstips4u. In my last post we have seen logical equivalence and some of their examples. In this post we are going to learn converse , inverse and contrapositive of an implication and some of their examples. If p → q is an implication, then there arises following three implications 1. q → p is called converse of p → q 2. ~ p → ~q is called inverse of p → q 3. ~ q → ~ p is called contrapositive of p → q We shall see the truth table of converse , inverse and contrapositive of an implication. p q ~ p ~ q p → q conditional q → p converse ~ p →~q inverse ~ q → ~ p contrapositive T T F F T T T T T F F T F T T F F T T F T F F T ...