Paradox comes from the Greek word "para+dokein", which means "think more". The meaning of this word is rich, which includes all mathematical conclusions that contradict human intuition and daily experience, and those conclusions will surprise us.

Paradox is a self-contradictory proposition, that is, if this proposition is admitted, it can be inferred that its negative proposition is established; On the other hand, if the negative proposition of this proposition is recognized, it can be inferred that this proposition is true.

If you admit that it is true, after a series of correct reasoning, it is concluded that it is false; If you admit that it is false, after a series of correct reasoning, it is true.

There are many famous paradoxes at home and abroad, which have shaken the foundation of logic and mathematics, stimulated people's knowledge and precise thinking, and attracted the attention of many thinkers and enthusiasts throughout the ages. Solving paradox requires creative thinking, and the solution of paradox can often bring people new ideas.

The earliest paradox is considered as the "liar paradox" in ancient Greece.

principle

At the same time, it is assumed that two or more premises that cannot be established at the same time are the same characteristics of all paradox problems.

form

Paradox has three main forms.

1. An assertion seems to be definitely wrong, but it is actually right (paradox).

2. An assertion seems to be definitely right, but it is actually wrong (specious theory).

A series of reasoning seems impeccable, but it leads to logical contradictions.

type

Paradoxes mainly include logic paradox, probability paradox, geometry paradox, statistics paradox and time paradox.

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