图 书 馆
一个世纪在数学基础的争论A Century of Controversy over the Foundations of Mathematics |
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| 课程网址: | http://videolectures.net/eccs08_chaitin_acocotfom/ |
| 主讲教师: | Gregory Chaitin |
| 开课单位: | 奥克兰大学 |
| 开课时间: | 2008-10-17 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | I'll tell the dramatic story of the recent disputes over the foundations of mathematics. I'll start with the problems in Cantor's theory of infinite sets and then discuss the work of Bertrand Russell, David Hilbert, Kurt Godel and Alan Turing, and finally my own work using complexity. This complexity-based analysis of the foundations of mathematics suggests to me that perhaps mathematics is more similar to physics and to biology than is commonly believed, and should sometimes be carried out quasi-empirically, that is, more in the spirit of an experimental science. |
| 关 键 词: | 数学基础; 无穷集合理论; 复杂性 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2020-06-15：wuyq |
| 阅读次数: | 57 |