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  • A mathematical statement is a sentence which is either true or false (not both).
  • Negation of a statement p is a statement “not p” and denoted by ~p.
  • Compound statements are connected by “and” and “or”.
  • Implications “if-then”, “only if” and "if and only if" are indicated by
  • p q, q p and p q respectively.
  • p q has contra positive ~q ~p.
  • For validating given statements, the following methods are used.
    1. Direct method
    2. Contra positive method.
    3. Method of contradiction.
    4. Using counter - example.

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