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The most difficult reasoning or intellectual problem.
One,

62-63= 1 "is an incorrect equation. Can you move a number to make the equation hold? ”。 This is the topic of the computer doctor entrance examination of Fudan University, and no one worked it out at that time. The tutor said that this is a very magical topic. A man can find his beloved girl when he succeeds, and a woman can find her own prince charming when she succeeds. Generally speaking, married people can't do it. Note: Only one number can be moved, and it must be a number.

Answer: 2 to the 6th power -63 is equal to 1.

Second,:

An event that happened in ancient times.

A young man surnamed Li learned from an old lawyer how to practice law. The two sides promised that if Li Youth won the first lawsuit, he would give all the money he got to the old lawyer for free.

As a result, Li Qingnian did not go to court after finishing his studies. Of course, he couldn't get the money, so he sued Li Qingnian above. If the old lawyer wins, he should get the tuition.

If you were a judge, what would you do?

Answer:

This is a paradox problem, and there is such reasoning in it.

1, the teacher thinks:

If the apprentice wins the lawsuit, according to their agreement, the students should pay the money.

If the student loses the case, according to the law, the student still has to pay.

2. Students think that:

If the lawsuit wins, according to the law, he should not give money to the teacher.

If the lawsuit is lost, according to his original agreement with the teacher, he doesn't have to pay.

Mathematics is full of contradictions, addition, subtraction, multiplication and division, positive and negative, rational and unreasonable, real and imaginary, finite and infinite. In the process of mathematics development, there are always contradictions to struggle and solve. When the contradiction intensifies to the point that the whole mathematical foundation must be solved, the mathematical crisis arises. At the beginning of the twentieth century, the paradox put forward by British mathematician Russell is such a mathematical crisis.

Russell paradox holds that:

If a set is defined, then the paradox must be derived from this definition.

Russell's paradox: all sets M that do not contain their own elements, if M is their own elements, it should not be; If m is not its own element, then it should be. ]

Example: A country barber claims that he will shave all those who don't shave, and never shave those who shave themselves. Then, a question appeared: should he shave himself? If he shaves himself, according to his second half, he can't shave himself; And if he doesn't shave himself, he has to shave himself as he said in the first half. The barber is in a dilemma.

In recent years, although human beings have conducted in-depth research on paradox, they have not finally solved the paradox problem. Many mathematicians and logicians have put forward schemes that basically bypass the paradox, rather than solving it. Some people even claim that paradox can never be solved. However, the role of paradox research in mathematics and logic is enormous. In addition, paradox can better reflect the logical contradiction in people's thinking. The contradictory law of the three basic thinking laws should not be in the form of "neither P nor P", but should be in the negative form of the paradox of "not P if and only if it is not P". In other words, negation is the real law of contradiction in logic.

But we believe that black holes will eventually be known, and the mystery of paradox will be solved one day.

Then finally put these aside, if I were a judge:)

I wouldn't concentrate on the funny dilemma and ignore the basic facts. Since the student never filed a lawsuit, the teacher had no reason to sue him, so the teacher lost the case. Then the students have to pay the money as agreed.