ガロア第一論文と乗数イデアル他関連資料スレ3

[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ3 (1002ﾚｽ)
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320: １３２人目の素数さん [] 2023/04/23(日) 14:47:41.34 ID:xRz9gQiq

>>318
>グレブナー基底

下記ですね
なお、en.wikipediaが圧倒的で、ja.wikipediaはあまり参考にならない
(参考)
https://en.wikipedia.org/wiki/Gr%C3%B6bner_basis
Grobner bases were introduced in 1965, together with an algorithm to compute them (Buchberger's algorithm), by Bruno Buchberger in his Ph.D. thesis. He named them after his advisor Wolfgang Grobner.
In 2007, Buchberger received the Association for Computing Machinery's Paris Kanellakis Theory and Practice Award for this work. However, the Russian mathematician Nikolai Gunther had introduced a similar notion in 1913, published in various Russian mathematical journals. These papers were largely ignored by the mathematical community until their rediscovery in 1987 by Bodo Renschuch et al.[2] An analogous concept for multivariate power series was developed independently by Heisuke Hironaka in 1964, who named them standard bases. This term has been used by some authors to also denote Grobner bases.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1680684665/320

674: １３２人目の素数さん [] 2023/05/02(火) 18:30:11.34 ID:yfIqDjIu

>>668
古典哲学でなく、米では数理哲学も結構さかんでは？ と感じたよ
例は、下記のPruss氏 https://rio2016.5ch.net/test/read.cgi/math/1674744315/1-2
それに、武田 秀一郎氏 https://sites.google.com/view/grothendieck-jr https://rio2016.5ch.net/test/read.cgi/math/1667470792/4
（Education M.A. Philosophy, San Francisco State University, Jan. 2000 今 2022 - present: Osaka University, Associate Professor ）

今のAIとか、哲学屋さんの現代的考察＆議論があっても良さそう（賛否あるだろうが・・）

（参考）
https://ja.wikipedia.org/wiki/%E6%95%B0%E5%AD%A6%E3%81%AE%E5%93%B2%E5%AD%A6
数学の哲学（ philosophy of mathematics）は、哲学（科学哲学）の一分野で、数学を条件付けている哲学的前提や哲学的基礎、そして数学の哲学的意味を研究するものである。
数理哲学（mathematical philosophy）という用語が、しばしば「数学の哲学」と同義語として使われる[1]。しかしながら、「数理哲学」は、別の意味を少なくとも二つ持っている。

https://en.wikipedia.org/wiki/Alexander_Pruss
Alexander Robert Pruss (born January 5, 1973) is a Canadian philosopher and mathematician. He is currently a professor of philosophy and the co-director of graduate studies in philosophy at Baylor University in Waco, Texas.
Biography
After earning a Ph.D. in mathematics at the University of British Columbia with a dissertation on Symmetrization, Green’s Functions, Harmonic Measures and Difference Equations, under John J. F. Fournier in 1996, and publishing several papers in Proceedings of the American Mathematical Society and other mathematical journals,[4] he began graduate work in philosophy at the University of Pittsburgh.
Pruss began teaching philosophy at Georgetown University in 2001, earning tenure in 2006.
In 2007, he moved to Waco, Texas to teach philosophy at Baylor University. He is now the director of graduate studies for the Baylor Philosophy Department.

http://rio2016.5ch.net/test/read.cgi/math/1680684665/674

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