[历史,谜团] 假如哥德尔不完全性定理和爱因斯坦的相对论二者相“结合”,后果将会是什么?
哥德尔: Kurt Gödel, Kurt Goedel, 1906-04-28 ~ 1978-01-04, 71
图1 Gödel and Einstein were often seen walking together to and from the Institute during the early 1950s.
在20世纪50年代初,人们经常看到哥德尔和爱因斯坦一起往返于该研究所。
https://www.ias.edu/kurt-g%C3%B6del-and-institute
https://albert.ias.edu/entities/archivalmaterial/9178d642-ff22-44dc-8a13-982cf0532272
circa 1948, Oskar Morgenstern, photographer
哥德尔(Kurt Gödel, Kurt Goedel)于 1940-03-04 抵达美国旧金山(San Francisco)。
不久,在爱因斯坦的帮助下,哥德尔在新成立的普林斯顿高等研究所(Institute for Advanced Study, IAS)开始任职。他一直在该所工作和教学,直到1976年退休。
爱因斯坦在普林斯顿高等研究院IAS的时间:1933 ~ 1955。
哥德尔在普林斯顿高等研究院IAS的时间:1940 ~ 1976。
从 1940 到 1955,大约 16年的时间,他们在一起。
据传,人们经常看到爱因斯坦、哥德尔一起散步,他们在讨论什么?
为什么不将哥德尔不完全定理和爱因斯坦的相对论“结合”一下?
感慨:世界真奇妙!
参考资料:
[1] Kurt Gödel: Life, Work, and Legacy, Institute for Advanced Study
https://www.ias.edu/kurt-g%C3%B6del-life-work-and-legacy
ship to San Francisco, where they arrived on March 4, 1940. They settled in Princeton where Gödel’s position at the Institute was renewed annually until 1946, when he became a permanent Member until appointed to the Faculty.
[2] Kurt Gödel, American mathematician, britannica
https://www.britannica.com/biography/Kurt-Godel
In 1940, only months after he arrived in Princeton, Gödel published another classic mathematical paper, “Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis with the Axioms of Set Theory,” which proved that the axiom of choice and the continuum hypothesis are consistent with the standard axioms (such as the Zermelo-Fraenkel axioms) of set theory.
[3] Kurt Gödel, MacTutor History of Mathematics
https://mathshistory.st-andrews.ac.uk/Biographies/Godel/
In 1940 Gödel arrived in the United States,
He was an ordinary member of the Institute for Advanced Study from 1940 to 1946 (holding year long appointments which were renewed every year), then he was a permanent member until 1953. He held a chair at Princeton from 1953 until his death, holding a contract which explicitly stated that he had no lecturing duties.
[4] Albert Einstein, PAST FACULTY, School of Mathematics (NS), Institute for Advanced Study
https://www.ias.edu/scholars/einstein
Physicist Albert Einstein (1879–1955) was one of the Institute’s first Faculty members, serving from 1933 until his death in 1955, and he played a significant part in its early development.
[5] Kurt Gödel and the Institute, Institute for Advanced Study
https://www.ias.edu/kurt-g%C3%B6del-and-institute
相关链接:
[1] 2021-05-05 15:00,[老照片] 哥德尔和爱因斯坦在普林斯顿散步,1954年
https://blog.sciencenet.cn/blog-107667-1285132.html
[2] 2022-02-19 17:05,[科普 + 备课] 哥德尔不完全性定理(1931年)
https://blog.sciencenet.cn/blog-107667-1326086.html
[3] 2022-03-01 14:17,[科普 + 备课] Chaitin定理(1966年)
https://blog.sciencenet.cn/blog-107667-1327564.html
[4] 2025-06-07 22:51,[笔记,思考] 《狭义相对论》里“光速不变原理”的哲学实质是什么?
https://blog.sciencenet.cn/blog-107667-1488910.html
[5] 2025-07-09 22:09,[笔记] 柏拉图的“洞穴之喻” Plato's allegory of the cave vs 爱因斯坦的狭义相对论
https://blog.sciencenet.cn/blog-107667-1493072.html
[6] 2022-10-12 16:27,[答疑,备课,坍缩] 正弦量合情合理地变成相对静止的矢量,一点也不奇怪
https://blog.sciencenet.cn/blog-107667-1359135.html
[7] 2023-12-16 22:43,[讨论]狭隘的“存在即被感知, esse est percipi, to be is to be perceived”
https://blog.sciencenet.cn/blog-107667-1414107.html
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