ProofWiki:Mathematicians/Georg Ferdinand Ludwig Philipp Cantor
From ProofWiki
Georg Cantor is 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.
Contents |
Nationality
German
History
- Born: 3 March 1845, St Petersburg, Russia
- Died: 6 Jan 1918, Halle, Germany
Theorems and Definitions
- Cantor Set
- Cantor's Theorem
- Heine-Cantor Theorem
- Cantor-Bernstein-Schroeder Theorem (with Felix Bernstein and Ernst Schröder)
Books and Papers
- 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)
- 1895: Beiträge zur Begründung der transfiniten Mengenlehre (Math. Ann. Vol. 46: 481 – 512)
- 1897: Beiträge zur Begründung der transfiniten Mengenlehre (Math. Ann. Vol. 49: 207 – 246)
Also see
- Eric Temple Bell: Men of Mathematics (1937): Chapter $\text{XXIX}$
- Steven A. Gaal: Point Set Topology (1964)... (next): Introduction to Set Theory: $1$. Elementary Operations on Sets
