I don't know much about the history of mathematics Say a few. In chronological order.

1. The most famous is the Pythagorean theory that all numbers can be written as the ratio of two integers, which is trusted by the public. Irrational numbers were discovered and overturned.

2. Fermat's main mistake is that all fermat number are prime numbers. Euler cited it as negative.

3. Euler made many mistakes. Regarding the solution of Latin square, Euler thought that there was no Latin square with more than six segments, and it was not overthrown until modern times. Euler also wrote a formula imitating Fermat's last theorem, which was overthrown by later generations.

4. Cantor's theory is very confusing. Many people admire it after its establishment, but there are also many paradoxes.

Recently, Hilbert thinks that mathematics is complete, which is supported by many mathematicians. Godel proved that this statement was wrong.

I think of these at the moment.