…The position advocated by Broel is called intuitionism, and in this position the law of the excluded middle does not generally hold. Following the discovery of analytic sets (an extension of the Borel set) by MJ Souslin (1917), N. Luzin and W. Sierpiński began to vigorously study analytic set theory, a field generally called descriptive set theory. They also clearly had the foundations of analysis in their field of vision. … *Some of the terminology that mentions "Souslin, MJ" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…ブローエルが提唱した立場は直観主義と呼ばれ,この立場では排中律は一般には成り立たないものとされる。ススリンM.J.Souslinによる解析集合(ボレル集合の拡張)の発見(1917)を端緒として,ルージンN.N.LuzinやシェルピンスキW.Sierpińskiらが精力的に解析集合論,一般に記述集合論と呼ばれる分野の研究に着手したのもこの時代である。彼らも明確に解析学の基礎づけをその視野の中に入れていた。… ※「Souslin,M.J.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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