Mathematician:Julius Wilhelm Richard Dedekind

Mathematician
German mathematician who worked in the fields of abstract algebra, and algebraic number theory.

Most noted for his work on the foundations of the real numbers.

Used the thinking behind the resolution of Galileo's Paradox to underpin the definition of an infinite set. A student of.

One of the earliest mathematicians to accept the ideas of.

Nationality
German

History

 * Born: 6 Oct 1831 in Braunschweig, duchy of Braunschweig (now Germany)
 * Died: 12 Feb 1916 in Braunschweig, duchy of Braunschweig (now Germany)

Theorems and Definitions

 * Dedekind's Theorem
 * Dedekind Cut
 * Dedekind Complete Set
 * Dedekind Completion
 * Dedekind-MacNeille Completion (with )
 * Cantor-Dedekind Hypothesis (with )


 * Dedekind-Infinite


 * Refined Peano's Axioms (of ), so they are also known as the Dedekind-Peano Axioms

Publications

 * 1872: Stetigkeit und irrationale Zahlen ("Continuity and irrational numbers") in which he introduced the concept of what is now called the Dedekind cut.
 * 1888: Was sind und was sollen die Zahlen? ("What are numbers and what should they be?") in which is included the definition of an infinite set.

Also known as
Usually referred to as Richard Dedekind.

Some sources render his name as Richard Julius Wilhelm Dedekind.