1. Rigidity: Mathematics is a discipline based on strict logic. Mathematicians need to follow certain laws and principles when solving problems and deducing theorems, which makes them more rigorous when thinking about problems. By studying mathematics, we can cultivate rigorous logical thinking ability.

2. Abstract thinking: There are many abstract concepts and symbols in mathematics, such as sets, functions and matrices. Learning these abstract concepts helps us to improve our abstract thinking ability, so as to better understand and analyze problems.

3. Logical reasoning: Logical reasoning in mathematics is very important. Starting from the known conditions, a new conclusion is drawn through reasoning. This logical reasoning ability is also very important in our daily life and work. By studying mathematics, we can exercise our logical reasoning ability.

4. Problem solving ability: Problems in mathematics often require us to use a variety of knowledge and skills to solve. In the process of learning, we need to constantly try, analyze and summarize, so as to improve our ability to solve problems.

5. Pattern recognition: Many concepts and theorems in mathematics are universal and regular. By studying mathematics, we can learn to discover laws from complex phenomena, thus improving our pattern recognition ability.

In a word, mathematics, as an effective tool to train logical thinking, can help us improve our logical thinking ability. At the same time, the improvement of logical thinking ability will also help us achieve better results in mathematics learning.