How to understand and use symbols in mathematical propositions.

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.

Extended data:

The main feature and function of logical symbols is that they can accurately explain the objects they represent (logical form, logical conjunction or logical operation, etc.). ), so they can be used to accurately and concisely express various logical axioms, theorems and logical operation processes.

In logic, a set of symbols is often used to represent the logical structure. Because logicians are very familiar with these symbols, they don't explain them when they are used.

Therefore, the following table lists the symbols commonly used by logic learners and their names, pronunciations and related fields of mathematics. In addition, the third column contains informal definitions and the fourth column gives short examples.

It should be noted that in some cases, different symbols have the same meaning, while the same symbol has different meanings according to the context.

Baidu Encyclopedia-Logical Symbol