Dedekind's

Having declared "I will prove this", he began the lecture by explaining Dedekind's cut.

Toshihide Maskawa - Autobiography 2009

Dedekind's legacy, on the other hand, consisted not only of important theorems, examples, and concepts, but of a whole style of mathematics that has been an inspiration to each successive generation.

Mathematical Style Mancosu, Paolo 2009

This follows the kind of definitions used in the arithmetization of analysis of the preceding century, in particular, Dedekind's earlier construction of real numbers as bounded classes of rational numbers.

Logical Constructions Linsky, Bernard 2009

Another example comes from Edward's evaluation of Dedekind's approach to mathematics:

Mathematical Style Mancosu, Paolo 2009

Had he had a tenth of Dedekind's ability to formulate and express his ideas clearly, his contribution to mathematics might have been even greater than Dedekind's.

Mathematical Style Mancosu, Paolo 2009

From here the step is not far to Dedekind's view that equipollence is a sufficient condition for equinumerosity.

Slices of Matisse gerard varni 2009

These three parts, or Dedekind's approach as a whole, may not seem extraordinary to a contemporary mathematician; but that is just testimony to how much modern mathematics has been shaped by it.

Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008

As indicated above, set-theoretic assumptions and procedures already inform Dedekind's Stetigkeit und irrationale Zahlen.

Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008

We should begin here by reviewing two related aspects: the roots of Dedekind's number-theoretic investigations in the works of Gauss, Dirichlet, and Ernst Eduard Kummer; and the contrast between Dedekind's approach in this area and that of Leopold Kronecker.

Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008

The extent to which Dedekind's approach diverged from what was common up to then becomes clearer if we remember two traditional assumptions: that mathematics is the science of number and magnitude; and that it has essentially to do with calculating and algorithmic reasoning.

Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008