ProofWiki:Mathematicians/Georg Ferdinand Ludwig Philipp Cantor
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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
