Tautology, contradiction and contingency
Hello friends, Welcome to my blog mathstips4u. In my last post we have seen converse, Inverse and contrapositive of an implication and its examples. Some of the examples were left as exercise for you. That will be covered in this post. If you not still read that post, please read that post before watching this video. In this post we are going to learn what is meant by tautology, contradiction and contingency and their examples. Tautology (t): A statement pattern which is true for all the combinations of the truth values of its component statements, is called a tautology. e.g. p v ~p p ~p p v ~p T F T F T T Contradiction(c): A statement pattern which is false for all the combinations of the truth values of its component statements, is called a contradiction. e.g. p Ʌ ~p p ~p p Ʌ ~p T F F F T F It is obvious that the negation of a tautology is a co...