# An Appreciation of Kronecker

@article{Edwards1987AnAO, title={An Appreciation of Kronecker}, author={Harold M. Edwards}, journal={The Mathematical Intelligencer}, year={1987}, volume={9}, pages={28-35} }

I am especially honored by the invitation to speak at this annual joint session of the mathematics section and the history section of the Academy because my predecessor last December was Andr6 Weil. As you well know, Weil said nothing last year about the man who is my subject tonight, but, as you probably do not know, he might well have. In fact, at the International Congress of Mathematicians in Cambridge, Massachusetts, in 1950, he gave an invited address which could have borne the title of…

## 20 Citations

Kronecker’s ‘Safe Haven of Real Mathematics’

- Mathematics
- 1996

The mathematical legacy of Kronecker is impressive. The list of mathematicians who took up his problems includes Adolph Hurwitz, David Hilbert, Kurt Hensel, Julius Konig, Ernst Steinitz, Erich Hecke,…

Kronecker’s Foundational Programme in Contemporary Mathematics

- Mathematics
- 2015

A few important mathematicians have emphasized Kronecker’s influence on contemporary mathematics, among them, first and foremost Weil (1976, 1979a) has stressed the fact that Kronecker is the founder…

Introduction: The Internal Logic of Arithmetic

- Philosophy
- 2015

The idea of an internal logic of arithmetic or arithmetical logic is inspired by a variety of motives in the foundations of mathematics. The development of mathematical logic in the twentieth…

The construction of solvable polynomials

- Mathematics
- 2009

Although Leopold Kronecker’s 1853 paper “On equations that are algebraically solvable” is famous for containing his enunciation of the Kronecker-Weber theorem, its main theorem is an altogether…

Arithmetization of Analysis and Algebra

- Mathematics
- 2015

Arithmetization of analysis evokes at once the names of Cauchy, Weierstrass, Cantor and Dedekind and to a lesser degree those of Dirichlet, Abel or Bolzano; the process of arithmetization illustrates…

The Internal Consistency of Arithmetic with Infinite Descent: A Syntactical Proof

- Philosophy, Mathematics
- 2015

The question of the consistency or non-contradiction of arithmetic is a philosophical question, that is the certainty of a mathematical theory and it has become a logical problem requiring a…

The Group Determinant Problem

- Mathematics
- 2013

This and the following three chapters are devoted to Frobenius’ greatest mathematical achievement, his theory of group characters and representations. The first two chapters consider how he was led…

Berlin Professor: 1892–1917

- Mathematics
- 2013

During Frobenius’ initial years in Berlin (1867–1875), the mathematical leaders, Kummer, Weierstrass, and Kronecker, had worked together in personal and intellectual harmony as illustrated in Chapter…

Prolegomena to a Semantic Theory for Natural Languages Based on Recursive Artihmetic

- Philosophy
- 2015

In this dissertation, the possibility of employing a version of (primitive) recursive arith- metic to build the semantic representations of natural language sentences is explored. This idea derives…

Kronecker on the Foundations of Mathematics

- Philosophy, Mathematics
- 1995

Today the phrase “foundations of mathematics” has become synonymous with “set theory and mathematical logic.” The most important thing to understand about Kronecker’s views on the foundations of…