After reading the book "Mathematical Paradox Wonderland", I seem to be led to the colorful road step by step, following an impeccable reasoning idea, and suddenly find myself caught in a contradiction. What's the matter? Is it possible to hide some unlucky defects behind the process of deductive reasoning?

This book is really thoughtful!

The main purpose of this chapter is to arouse students' interest by putting forward the most important paradox in modern logic in an entertaining way as much as possible. Here, the meaning of the word "paradox" is narrower than other parts. In other chapters, paradox is a problem that strongly goes against our intuition. Paradox here is just the result of direct contradiction, just like proving that 2+2 equals 4 but not 4. Logical paradox is "unsolvable" unless we can find a way to completely eliminate this vicious contradiction.

Although logical paradox has always brought great pleasure to people from ancient Greece to today, the greatest mathematicians always take it seriously. Some great progress in the development of modern logic and set theory is the direct result of trying to solve the classical paradox. Here, you will see a passage by Bertrand Russell. He said that he spent many years studying paradox but failed. Later, he collaborated with Alfred Whitereed to write Principles of Mathematics, which is a representative work that laid the foundation of modern formal logic.

As a math teacher, you can understand that logic is the basis of all deductive reasoning, and a math student who doesn't know the basic logic is incapable of mastering the mathematical foundation. These foundations are often difficult to understand, which makes beginners lose interest in mathematics. Fortunately, this set of stories can help you make students realize that logic is not as boring as they think, but a very important and interesting subject for mathematics, and there are many exciting problems to be solved.

Mathematics, a thoughtful course, is very logical, so it always gives people the illusion. Many researchers continue to explore, and I also want to study math well, so I can review it when I have time. ...