Descartes' Interpretation Of "universal Mathematics"

Descartes as the founder of modern philosophy,he created a set of method of rationalism,formed a relatively complete scientific methodology,and use this method to set up their own philosophy system.In early Descartes thought,Descartes chose the "quantity","order" and "rational" mathematical methods as its method of mode,set up a "common mathematics" as the guiding principle,the spirit intuitive and rational deduction as the core,with the step of analysis and synthesis system unique mathematical methodology.And to apply this method in mathematics,established the analytic geometry,opened a new era in the history of mathematics."General mathematics" way of thinking,mathematical method of reasoning,the nature of mathematical characteristics are largely influences the construction of Descartes' philosophy and philosophy."General mathematics" of modern western rationalism other philosopher Spinoza and Leibniz,such as Pascal philosophy also has a far-reaching influence.In general,the ideology of "general mathematics" for mathematics promoted the modern western philosophers to the world of primitive thinking.This effect is based on human rational pursuit of order,sure,eternal,unified natural inclination and the number of inner and mathematical proof showing the determination,orderly and internal identity in the form of self-evident.For "common mathematical" thought research,part of domestic scholars focus on the "general mathematics" of translation,to seek "common mathematics" and "common methods in the distinction between";Some scholars also put Descartes mathematical thinking in the whole history of modern western philosophy comprehensive considerations.Foreign research mainly focused on the specific mathematical problem of Descartes mathematical thought;And focus on "general mathematical ideas" to explore the guiding principles of the mind of the importance of text and integrity.According to the related literature at home and abroad,to find and not to the cartesian "general mathematics" systemic research,so it is in this paper,the idea of the original intention.First of all,this article first chapter is the time background of Descartes,special growth,education background,provides the cartesian "common mathematical thought preparation.Religious ideas of the collision,the church school's emphasis on mathematics,growing environment of free and open,begin to cartesian certainty for math,conciseness.The second chapter of cartesian thoughts origin of "general mathematics" were discussed,Plato knowable world,augustine's "natural light",from a certain extent affect the cartesian the formation of the common mathematical thought and quantitative methods combined with Galileo caused the outbreak of the scientific revolution resulted in the rise of humanism and scientism philosophy began to develop in the direction of scientific and mathematical,all this is the time background of "general mathematics" need.The third chapter discussed "general mathematics" meaning,the word "common math," where is the first appeared,Descartes to explain what,Descartes early in the analysis of the mathematics and related fields such as physics and mathematics later how to reflect the thought of the "general mathematics".The fourth chapter focuses on one of the most controversial now,the word "universal mathematics" text "explore the mind find principle" in the fourth principle of heterogeneity,it directly shows the cartesian in writing to two periods in the text of the night,and the key to the two periods of just good illustrate Descartes' "common mathematical" from the early embryo to later in the whole process of practical application.The overall grasp the common mathematical thought has a great effect.In this paper the common mathematical thought of Descartes,hoping to systemic understanding ideological meaning.In modern history of philosophy,it has had a profound influence in the history of mathematics,no detailed discussed the aspects,relevant content needs further research.