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Kronecker’s Foundational Programme in Contemporary Mathematics

  • Yvon Gauthier
Part of the Studies in Universal Logic book series (SUL)

Abstract

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 of modern algebraic geometry and Edwards (1987a,b, 1992) after Weyl (1940) has insisted on Kronecker’s pioneering work in algebraic number theory (divisor theory). Bishop (1970) has admitted in his work on the computational (or numerical) content of classical analysis that his enterprise was more in line with Kronecker than with Brouwer. Brouwer himself paid tribute to Kronecker—as did Poincaré and Hadamard—for his contribution to the fixed point theorems (see Gauthier 2009a).

Keywords

Algebraic Geometry Intuitionistic Logic Proof Theory General Arithmetic Euclidean Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Yvon Gauthier
    • 1
  1. 1.University of MontrealMontrealCanada

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