What does the false proposition mean?

What does the false proposition mean? Introduction is as follows:

False proposition, also known as false proposition and false proposition, refers to a statement that looks like a proposition on the surface, but actually has no authenticity or verifiability. Pseudo-propositions are usually confusing and easily mistaken for true propositions, which leads to wrong thinking and judgment. In the fields of logic, philosophy and mathematics, it is of great significance to study false propositions.

There are many reasons for false propositions. The following are some common situations:

1. Vague language expression: Sometimes, due to the vagueness or ambiguity of language expression, a statement may be misunderstood as a proposition, but in fact it has no clear meaning. For example, the statement "I may not go to school tomorrow" does not clearly indicate whether I will go to school tomorrow, so it can be considered as a false proposition.

2. Logical error: In some cases, a statement may seem to conform to logical rules, but there is actually a logical error. For example, "this sentence is false", if this sentence is true, then it is false; But if this sentence is false, then it is true. In this case, this statement is neither true nor false, but a false proposition.

3. Paradox: Paradox is a special pseudo-proposition, which seems reasonable on the surface, but actually contains contradictory contents. For example, the famous "Russell paradox" is a typical paradox. Russell's paradox points out that all sets that do not contain themselves are members of themselves, but in this way, all sets that contain themselves are not members of themselves, which leads to an insoluble contradiction.

4. Assumption error: In some cases, a statement may be based on wrong assumptions. When this hypothesis is proved to be wrong, this statement becomes a false proposition. For example, the statement that "the earth is flat" was once considered to be correct, but with the development of science, people found that the earth is actually an ellipsoid, so this statement became a false proposition.