Mathematician:Leopold Kronecker

German mathematician most notable for his view that all of mathematics ought to be based on integers.

Also a proponent of the mathematical philosophy of finitism, a forerunner of intuitionism and constructivism.

His influence on the mathematical establishment was considerable.

His views put him in direct opposition most notably to Georg Cantor, who was exploring the mathematics of the transfinite. Solved the quintic equation using group theory, but this proof of course did not use radicals as this had been proved to be impossible by the Abel-Ruffini Theorem.

The first to provide an axiomatic formulation for the structure of an abstract group.

Nationality
French

History

 * Born: December 7, 1823, Liegnitz, Prussia (now Legnica, Poland).
 * Died: December 29, 1891, Berlin, Germany.

Theorems and Definitions

 * First Kronecker Limit Formula
 * Second Kronecker Limit Formula
 * Kronecker Delta
 * Kronecker Symbol
 * Kronecker Sum
 * Kronecker Product
 * Kronecker-Weber Theorem
 * Kronecker's Theorem in number theory
 * Kronecker's Lemma

Books and Papers

 * 1850: On the Solution of the General Equation of the Fifth Degree

Notable Quotes

 * "God made the integers; all else is the work of man."

Also see

 * : $$\S 1.1$$
 * : $$\S 1.1$$