Abstract

Mathematics and philosophy are both a kind of understanding formed by understanding and transforming nature in the process of human development, and they are closely related. As a discipline that reflects the spatial form of the real world and expresses the quantitative relationship in the real world, advanced mathematics itself is a under the interaction of certain contradictory unity, it occurs and develops according to certain laws. These laws can be explained by philosophical thoughts. This paper takes the philosophical thoughts in advanced mathematics as the research object, and analyzes and expounds the quantitative and qualitative changes, motion and stillness, straightness and curvature, universality and particularity, abstraction and Philosophical thoughts such as concreteness, approximation and precision. Keywords: Advanced Mathematics; Philosophy Thought; Dialectic

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