The Meaning And Philosophical Analysis Of Mathematical Culture

The dissertation aims to supply a new research direction for recognizing Mathematics ail-roundly, correctly and deeply on the base of rethinking Mathematics from the angle of culture. It can be separated three sectors.The first elucidates the meaning and content of the research of mathematical culture, which can be depicted as a powerful dynamic system, the core of which is the mathematics science, and parts are composed of correlated cultural fields which are interfered by mathematical idea, spirit, method, technology and theory such as. The basic fields of mathematical culture include Philosophy, Art, History, Economy, Education, science of Thinking, Politics and all natural science. If we regard mathematical culture as an element of human culture and other elements as cultural environment of mathematics, mathematical culture = Mathematics + culture environment. The narrow mathematical culture mainly research dynamic relations between Mathematics and human culture. Mathematical culture shows not only common qualities but also specific property compared with normal human culture. Wilder, American mathematician, who earliest and systematically proposes the view of mathematical culture, develops the idea and relevant theory of mathematical culture from cultural generating and development and so on, it is the first comparatively mature view of philosophy of mathematics. The second talks about the Philosophy of Mathematics based on cultural view. As a branch of learning either a research orientation, the philosophy of Mathematics culture places mathematics the great backdrop of human culture below and self-questions with philosophy. The philosophy of Mathematical culture not merely contains more penetrate knowledge on the essence and value of mathematics, but also demonstrates every element that effect mathematical development through the more wide-ranging angle, Hence being adjusting traditional mathematics philosophy deepening with spreading. The birth of the Philosophy of Mathematics cultural has a profound academic...