This is a symbol of mathematical logic, used to connect two simple propositions. ∧ "means" and ",which is equivalent to the intersection of sets. The true value of the proposition P∧Q is related to the true values of P and Q. When both P and Q are true propositions, the proposition P∧Q is true and others are false propositions.

"∨" means or, which is equivalent to the union of sets. The truth value of the proposition P∨Q is also related to the truth values of P and Q. When both P and Q are false propositions, the proposition P∨Q is false and the rest are true propositions.

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Logical operations include union, intersection and subtraction. This logic operation method is used in graphics processing operation, which makes the simple basic graphics combination produce new shapes, and develops from two-dimensional logic operation to three-dimensional logic operation.

Because of Boolean's special contribution to symbolic logic operation, many computer languages call logic operation Boolean operation and its result Boolean value.

Boolean used mathematical methods to study logical problems and successfully established logical calculus. He used equality to express his judgment and regarded reasoning as the transformation of equality. The effectiveness of this transformation does not depend on people's interpretation of symbols, but only on the combination law of symbols.

This logic theory is usually called Boolean algebra. In 1930s, logic algebra was applied to circuit systems. Subsequently, due to the development of electronic technology and computer, various complex large-scale systems appeared, and their transformation laws also followed the law revealed by Boolean.

Baidu Encyclopedia-Logical Symbol