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現代数学の系譜 工学物理雑談 古典ガロア理論も読む45 (835レス)
現代数学の系譜 工学物理雑談 古典ガロア理論も読む45 http://rio2016.5ch.net/test/read.cgi/math/1508931882/
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669: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2017/11/10(金) 17:32:58.91 ID:FAWGl2WG 検索で引っかかったので、メモ貼り 下記2件、日本語版が無いんだ(^^ https://en.wikipedia.org/wiki/Transfinite_number Transfinite number (抜粋) Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite. The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the word infinite in connection with these objects, which were nevertheless not finite. Few contemporary writers share these qualms; it is now accepted usage to refer to transfinite cardinals and ordinals as "infinite". However, the term "transfinite" also remains in use. https://en.wikipedia.org/wiki/Absolute_Infinite Absolute Infinite (抜粋) The Absolute Infinite (symbol: Ω) is an extension of the idea of infinity proposed by mathematician Georg Cantor. It can be thought as a number which is bigger than any conceivable or inconceivable quantity, either finite or transfinite. Cantor linked the Absolute Infinite with God,[1] and believed that it had various mathematical properties, including the reflection principle: every property of the Absolute Infinite is also held by some smaller object.[2] http://rio2016.5ch.net/test/read.cgi/math/1508931882/669
782: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2017/11/11(土) 13:36:13.50 ID:nimHTkvQ >>776 哀れな素人さん、どうも。スレ主です。 >1/2+1/4+1/8+……は1にはならない。 それ(>>669より)下記の ”Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite.”に似ているかも(^^ https://en.wikipedia.org/wiki/Transfinite_number Transfinite number (抜粋) Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite. The term transfinite was coined by Georg Cantor, http://rio2016.5ch.net/test/read.cgi/math/1508931882/782
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