Leopold Kronecker (1823 – 1891) was a German mathematician who worked on number theory and algebra. His philosophical view of mathematics put him in conflict with several mathematicians over the years and Kronecker is known for rejecting Cantor's work on set theory.
Leopold Kronecker was born on 7 December 1823 in Liegnitz, Prussia (now Legnica, Poland). Kronecker then went to the Liegnitz Gymnasium where his teacher Ernst Kummer noticed and encouraged the boy's interest in mathematics. In 1841 Kronecker became a student at the University of Berlin where his interest spread over several subjects including mathematics, astronomy and philosophy. Kronecker also studied mathematics with Peter Gustav Lejeune Dirichlet and in 1845 defended his dissertation in algebraic number theory written under Dirichlet's supervision. In 1853 he wrote a memoir on the algebraic solvability of equations extending the work of Évariste Galois on the theory of equations. Over the following years Kronecker published numerous papers resulting from his previous years' independent research. As a result of this published research, he was elected a member of the Berlin Academy in 1861. In 1866 Kronecker was offered the mathematics chair at the University of Göttingen (previously held by Carl Gauss and Dirichlet), but he refused, preferring to keep his position at the Academy. Source: Leopold Kronecker. (n.d.). Retrieved January 7, 2015, from http://en.wikipedia.org/wiki/Leopold_Kronecker
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Giuseppe Peano was an Italian mathematician and logician. He was a mathematics professor at the University of Turin. The symbols of union and intersection of sets first appeared in his first book. He was a founder of mathematical logic and set theory. The standard axiomatization of the natural numbers is named the Peano axiom in his honor. He also made contributions to mathematical induction.
Source: Giuseppe Peano. (n.d.). Retrieved November 22, 2014, from http://en.wikipedia.org/wiki/Giuseppe_Peano It is two musical lines ,written by J.S.Bach, that are complementary and backward. It sounds the same whether it is played left to right or right to left. It is a 'musical palindrome'. |