Mathematician:Georg Ferdinand Ludwig Philipp Cantor

Mathematician
Russian-born German mathematician widely regarded as the creator of set theory.

He established the importance of correspondence between sets and helped to define the concepts of infinity and well-ordered sets.

He is also famous for stating and proving Cantor's Theorem.

Nationality
German

History

 * Born: 3 March 1845, St Petersburg, Russia
 * Died: 6 Jan 1918, Halle, Germany

Theorems and Definitions

 * Cantor Set
 * Cantor Space
 * Cantor Normal Form


 * Cantor-Bendixson Derivative (with )
 * Cantor-Bendixson Theorem (with )
 * Smith-Volterra-Cantor Set (with and )


 * Cantor's Diagonal Argument
 * Cantor's Theorem
 * Heine-Cantor Theorem (with
 * Cantor-Bernstein-Schröder Theorem (with and ) (also known as Bernstein-Schröder Theorem)


 * Cantor-Dedekind Hypothesis (with )


 * Real Numbers are Uncountable

Publications

 * 1867: De aequationibus secundi gradus indeterminatis
 * 1874: Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen (On a Characteristic Property of All Real Algebraic Numbers)
 * 1883: Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Aggregates)
 * 1915: (translated by  from Beiträge zur Begründung der transfiniten Mengenlehre)
 * 1915: (translated by  from Beiträge zur Begründung der transfiniten Mengenlehre)
 * 1915: (translated by  from Beiträge zur Begründung der transfiniten Mengenlehre)