Changes

The concept of logical implication is associated with an operation on two logical values, typically the values of two propositions, that produces a value of <math>\mathrm{false}\!</math> just in case the first operand is true and the second operand is false.

The concept of logical implication is associated with an operation on two logical values, typically the values of two propositions, that produces a value of <math>\mathrm{false}\!</math> just in case the first operand is true and the second operand is false.

In the interpretation where <math>0 = \mathrm{false}\!</math> and <math>1 = \mathrm{true}\!</math>, the truth table associated with the statement "<math>p\!</math> implies <math>q\!</math>", symbolized as <math>p \Rightarrow q\!</math>, is as follows:

In the interpretation where <math>0 = \operatorname{false}\!</math> and <math>1 = \operatorname{true}\!</math>, the truth table associated with the statement <math>{}^{\backprime\backprime} p ~\text{implies}~ q {}^{\prime\prime},\!</math> symbolized as <math>{}^{\backprime\backprime} p \Rightarrow q {}^{\prime\prime},\!</math> is as follows:

<br>

<br>