从解析几何的创立看笛卡尔方法论

摘要

With the clue of time, through the analysis of the back-ground of the times, combined with Descartes's search for truth, this paper made an objective analysis on the contribution of his thoughts to the history of mathematics and the history of philoso-phy. Earlier in the Cartesian system of thought, he chose the mathematical method with the combination of"quantity","order"and"rationality"as the model of method, and established a set of unique mathematical methodology system with "general mathe-matics"as the guiding principle, the spirit of intuition and ratio-nal deduction as the core, and analysis and summarization as the step.%本文以时间为线索，通过时代背景的分析，结合笛卡尔对真理的追寻，客观分析其思想在数学史与哲学史上的贡献。笛卡尔在其初期思想中，选择了结合“量”、“秩序”与“理性”的数学方法，建立了一套以“一般数学”为指导原则，以精神直观和理性演绎为核心，以分析和综合为步骤的独特数学方法论体系。