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单词 Cantor, Georg
释义

Cantor, Georg

中文百科

格奥尔格·康托尔 Georg Cantor

(重定向自Cantor, Georg)

格奥尔格·费迪南德·路德维希·菲利普·康托尔Georg Ferdinand Ludwig Philipp Cantor1845年3月3日-1918年1月6日),出生于俄国的德国数学家(波罗的海德国人)。创立了现代集合论作为实数理论以至整个微积分理论体系的基础。他还提出了集合的势和序的概念。由于研究成果得不到认可,并受到以利奥波德·克罗内克为首的众多数学家的长期攻击,患抑郁症,最后精神失常。自1869年任职于哈勒大学,直到1918年,在德国哈勒大学附属精神病院去世。

当代数学家绝大多数接受康托尔的理论,并认为这是数学史上一次重要的变革。大卫·希尔伯特说:“没有人能够把我们从康托尔创建的乐园中赶出去。”

英语百科

Georg Cantor 格奥尔格·康托尔

(重定向自Cantor, Georg)
Cantor, ca. 1870.
An illustration of Cantor's diagonal argument for the existence of uncountable sets.[38] The sequence at the bottom cannot occur anywhere in the infinite list of sequences above.
A bijective function.

Georg Ferdinand Ludwig Philipp Cantor (/ˈkæntɔːr/ KAN-tor; German:[ˈɡeɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfɪlɪp ˈkantɔʁ]; March 3 [O.S. February 19] 1845 – January 6, 1918) was a German mathematician. He invented set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an "infinity of infinities". He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware.

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更新时间:2025/6/20 20:37:03