Truth Table Mathematics Logic

Truth Table Mathematics Logic

1. Disjunction

   • The statement in symbolic form is p ⋁q , is false omly when p and q are both false.

2. Negation

   • The first truth is for negation .If p is a true statement ,then the negation of p."not p". is a false statement .If p is a false statement ,then "not p" is a true statement .

3. Conjunction

   • The statement in symbolic form is p⋀q , is true only when both p and q are true.

4. Conditional

   • The conditional statement p→q is true in every case except when p is a true statement and q is a false statement.

5. For the two simple statement ,there are four distinct e cases. Example:

6. case 1(T,T): p is true and q is true. case2(T,F):p is true and q is false. case3(F,T): p is false and q is true. case4(F,F): p is false and q is false.

7. Biconditional

   • The biconditional statement p↔q is true only when p and q have the same truth value,that is, when both are true or both are false.

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