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5 unusual facts about Dedekind


Dedekind

Friedrich Dedekind (1524–1598), German humanist, theologian, and bookseller

Dedekind-infinite set

Although such a definition was known to Bernard Bolzano, he was prevented from publishing his work in any but the most obscure journals by the terms of his political exile from the University of Prague in 1819.

Foundations of mathematics

The discrepancy between rationals and reals was finally resolved by Eudoxus of Cnidus, a student of Plato, who reduced the comparison of irrational ratios to comparisons of multiples (rational ratios), thus anticipating Richard Dedekind's definition of real numbers.

History of the function concept

Dieudonné, who was one of the founding members of the Bourbaki group, credits a precise and general modern definition of a function to Dedekind in his work

Infinitesimal

In the second half of the nineteenth century, the calculus was reformulated by Augustin-Louis Cauchy, Bernard Bolzano, Karl Weierstrass, Cantor, Dedekind, and others using the (ε, δ)-definition of limit and set theory.


Arithmetization of analysis

the various (but equivalent) constructions of the real numbers by Dedekind and Cantor resulting in the modern axiomatic definition of the real number field;

Dedekind function

In number theory, Dedekind function can refer to any of three functions, all introduced by Richard Dedekind

Emil Grosswald

After Rademacher's death, Grosswald edited and completed the notes and published them in the Carus Mathematical Monographs series as Dedekind Sums.

Proofs of Fermat's theorem on sums of two squares

John Stillwell, Introduction to Theory of Algebraic Integers by Richard Dedekind.


see also