nLab Richard Dedekind

Selected writings

Selected writings

In which the notion of a field was first introduced, but only for subfields of the complex numbers:

Introducing the notion of Dedekind cuts for the definition of the real numbers:

On axioms for the natural numbers and infinite sets:

These two essays contain the definitions of Dedekind cuts and infinite sets (this definition is now taken to define Dedekind infinite sets) an axiomatization of the natural numbers adapted by Peano into Peano arithmetic (Dedekind-Peano axioms).

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