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What are "true propositions" and "false propositions"? How to distinguish them?
True statement is a logical term. Generally speaking, in mathematics, statements expressed by languages, symbols or formulas that can judge truth or falsehood are called propositions. The truth value of a proposition can only take two values: true or false. True correspondence is correct and false correspondence is wrong. The truth value of any proposition is unique, and the proposition that the truth value is true is the true proposition.

A true proposition is a correct proposition, that is, if the proposition holds, then the conclusion must hold. A proposition can be written in this format: if+conditions, then+conclusions. The proposition with contradictory conditions and results is a false proposition.

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False propositions can be divided into three categories:

1, the topic only corresponds to one background, and the conclusion is wrong. For example, "1+2=5" is a false proposition.

The topic corresponds to various backgrounds, and the conclusion is wrong for them. For example, "Two straight lines are parallel and the internal angles on the same side are complementary", and the title of this proposition corresponds to various backgrounds: for all backgrounds, the internal angles on the same side are complementary rather than complementary. This proposition is a false proposition.

3. The topic corresponds to various backgrounds. For some of them, the conclusion is wrong, but for others, the conclusion is correct.

For example, the proposition that "two straight lines are parallel and the internal angles on the same side are equal" corresponds to various backgrounds: for a bunch of backgrounds, one angle of the internal angles on the same side is greater than 90, the other angle is less than 90, and the internal angles on the same side are not equal; But for another background, both angles of the same side internal angle are equal to 90, and the same side internal angle is equal.

In this way, in all the backgrounds corresponding to this proposition, the conclusion is wrong for a bunch of backgrounds. This proposition is false.