Yongfeng Zhang
Mathematics idealization abstraction is an idealized conceptual form to express the nature of the research object. It expresses the characteristics of things in a simplified and purified form, makes abstract thinking surpass reality and presents an ideal state, and constructs some idealized mathematical concepts and theories. Although some idealized abstractions cannot be achieved in practice and can only be achieved in thought, mathematical idealized abstractions play an important role in the development of mathematical theory and mathematical applications.
Mathematics; Idealized Abstraction; Simplification; Purification; Axiomatic System