電腦協助證明
電腦協助證明是一種部份或全部內容以電腦協助之數學證明。
哲學爭議
由於大部份的電腦協助證明計算量龐大,無法以人手驗證,很多數學家不接受電腦協助證明,並表示那只是計算而非證明。他們表示,美麗的數學證明應像首詩,而電腦證明則看似電話簿。
歷史
第一個著名的電腦協助證明,是1976年的四色定理證明。
參考
外部連結
- Edmund Furse; Why did AM run out of steam?
- Keith Devlin; Last doubts removed about the proof of the Four Color Theorem, MAA Online, January 2005
- Number proofs done by computer might err (页面存档备份,存于)
- . Notices of the American Mathematical Society. December 2008 [2010-09-21]. (原始内容存档于2019-03-14).
- M. Nakao, M. Plum, Y. Watanabe (2019); Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations (Springer Series in Computational Mathematics). (页面存档备份,存于)
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