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古希腊哲学和数学

Ancient Greek Philosophy And Mathematics
课程网址: https://ocw.mit.edu/courses/es-113-ancient-greek-philosophy-and-m...  
主讲教师: Dr. Lee Perlman
开课单位: 麻省理工学院
开课时间: 2016-01-01
课程语种: 英语
中文简介:
本课程探讨了古希腊哲学与数学之间的关系。我们研究了定义、理性、论证和证明、理性/非理性、数量、质量和数量、真理,甚至思想的想法是如何被哲学和数学探究的相互作用所塑造的。该课程探讨了量级不可比性的发现如何挑战了希腊人关于宇宙是完全可以理解的假设。学生探索数学对古希腊伦理理论的影响。我们读到这样的作家:欧几里得、柏拉图、亚里士多德、尼各马科斯、士麦那的席恩、培根、笛卡尔、戴德金和牛顿。
课程简介: This course explores the relationship between ancient Greek philosophy and mathematics. We investigate how ideas of definition, reason, argument and proof, rationality / irrationality, number, quality and quantity, truth, and even the idea of an idea were shaped by the interplay of philosophic and mathematical inquiry. The course examines how discovery of the incommensurability of magnitudes challenged the Greek presumption that the cosmos is fully understandable. Students explore the influence of mathematics on ancient Greek ethical theories. We read such authors as: Euclid, Plato, Aristotle, Nicomachus, Theon of Smyrna, Bacon, Descartes, Dedekind, and Newton. 
关 键 词: 古希腊哲学; 数学探究; 欧几里得
课程来源: 麻省理工学院公开课
数据采集: 2024-04-21:chenjy
最后编审: 2024-04-21:chenjy
阅读次数: 6