Saturday, June 6, 2009

Converse, inverse and contrapositive of a conditional

Converse, inverse and contrapositive of a conditional:
Suppose p, q are two statements.
(i) 'If q then p' is called the converse of 'If p then q'.
(ii) 'If ~p then ~q' is called the inverse of 'If p then q'.
(iii) 'If ~q then ~p' is called the contrapositive of 'If p then q'.
Symbolically,
q=>p is the converse of p=>q.
~p=>~q is the inverse of p=>q.
~q=>~p is the contrapositive of p=>q.

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