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What innovative thinking and methods are there in the field of mathematics?
There are many innovative thinking and methods in the field of mathematics. Here are some common ones:

-Abstraction: Mathematicians often abstract concrete problems into mathematical structures and symbols when solving problems. This abstract way of thinking can help mathematicians discover the essence of problems and form a more general theory.

-Abstraction: Mathematical thinking can abstract practical problems into mathematical models and think and solve them in mathematical space. Through abstraction, the problem can be simplified into a form that is easier to analyze and solve, thus improving the efficiency of solving problems and providing the basis of mathematical modeling for practical application.

-Innovation: Innovative thinking has played an important role in promoting mathematical research. Mathematicians put forward many important mathematical theorems and conclusions through innovative thinking, which promoted the development of mathematics.