The difference between science and non-science is clearly defined by Popper here, which is contrary to common sense. The essence of non-science is not whether it is correct, but whether it can't be falsified. So mathematics and logic are classified as unscientific.

Psychoanalysis theory, astrology theory, osteopathy. None of them can be falsified. Mathematics and logic are classified as non-science because they don't need to be tested by experience and are called inevitable truths by Hume. Science, like non-science, contains both truth and fallacy.

Extended data:

Falsificationism should adopt trial and error method. This means that people should boldly make assumptions and guesses, and then look for examples that do not meet this assumption. Modify the hypothesis according to the example, repeat this process constantly, or even completely deny the original hypothesis.

Popper also wanted to integrate the conflict between rationalism and empiricism, but he also criticized rationalism and empiricism. Both rationalism and empiricism admit that knowledge comes from an unchangeable foundation. Rationalism holds that this foundation is a universal and inevitable principle, while empiricism holds that it is human experience.

References:

Baidu encyclopedia-perjury