Leopold Kronecker (German:[ˈkʁoːnɛkɐ]; 7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic. He criticized Georg Cantor's work on set theory, and was quoted by Weber (1893) as having said, "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk" ("God made the integers, all else is the work of man").[1] Kronecker was a student and life-long friend of Ernst Kummer.
^The English translation is from Gray. In a footnote, Gray attributes the German quote to "Weber 1891/92, 19, quoting from a lecture of Kronecker's of 1886". Gray, Jeremy (2008), Plato's Ghost: The Modernist Transformation of Mathematics, Princeton University Press, p. 153, ISBN 978-1400829040
Weber, Heinrich L. 1891–1892. Kronecker. Jahresbericht der Deutschen Mathematiker-Vereinigung 2:5-23. (The quote is on p. 19.)
LeopoldKronecker (German: [ˈkʁoːnɛkɐ]; 7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic...
In mathematics, the Kronecker delta (named after LeopoldKronecker) is a function of two variables, usually just non-negative integers. The function is...
sometimes called matrix direct product. The Kronecker product is named after the German mathematician LeopoldKronecker (1823–1891), even though there is little...
Kronecker is a German surname. Notable people with the surname include: Hugo Kronecker (1839–1914), German physiologist, brother of LeopoldLeopold Kronecker...
symbol to all integers n {\displaystyle n} . It was introduced by LeopoldKronecker (1885, page 770). Let n {\displaystyle n} be a non-zero integer, with...
to more complicated Eisenstein series. It is named for LeopoldKronecker. The (first) Kronecker limit formula states that E ( τ , s ) = π s − 1 + 2 π (...
to encounter resistance from mathematical contemporaries such as LeopoldKronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer...
equations by means of trigonometric functions. At around the same time, LeopoldKronecker, using group theory, developed a simpler way of deriving Hermite's...
The English term "field" was introduced by Moore in 1893. In 1881 LeopoldKronecker defined what he called a domain of rationality, which is a field of...
In mathematics, the Kronecker sum of discrete Laplacians, named after LeopoldKronecker, is a discrete version of the separation of variables for the...
several important German mathematicians, as Gotthold Eisenstein, LeopoldKronecker, Rudolf Lipschitz and Carl Wilhelm Borchardt, while being influential...
equivalent of high school, where he inspired the mathematical career of LeopoldKronecker. Kummer was born in Sorau, Brandenburg (then part of Prussia). He...
hierarchy of transfinite cardinals at the end of the 19th century. LeopoldKronecker remained a strident opponent to Cantor's set theory: Die ganzen Zahlen...
objects as strict finitists. The most famous proponent of finitism was LeopoldKronecker, who said: God created the natural numbers, all else is the work of...
factorization algorithm was published by Theodor von Schubert in 1793. LeopoldKronecker rediscovered Schubert's algorithm in 1882 and extended it to multivariate...
Leo Königsberger Gottfried Köthe Ernst Kötter Gerhard Kowalewski LeopoldKronecker Johann Heinrich Louis Krüger Ulrich Kulisch Georg Landsberg Karl Christian...
the book is a reference to a quotation attributed to mathematician LeopoldKronecker, who once wrote that "God made the integers; all else is the work...
perimeter and finite area is the Koch snowflake.[citation needed] LeopoldKronecker was skeptical of the notion of infinity and how his fellow mathematicians...
Hugo Kronecker (27 January 1839 – 6 June 1914) was a German physiologist from Liegnitz, Prussian Silesia. He was the brother of LeopoldKronecker. He studied...
and therefore were not Turing-complete. In the late 19th century, LeopoldKronecker formulated notions of computability, defining primitive recursive...
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