see pages 107 and following of <A HREF="https://books.google.com/books?id=vrQLbbxGNMsC">Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics</A>

 - Dedekind and the set-theoretical approach
   1. The algebraic origins of Dedekind's set theory, 1856-58
   2. A new fundamental notion for algebra: fields
   3. The emergence of algebraic number theory
   4. Ideals and methodology
   5. Dedekind's infinitism
   6. The diffusion of Dedekind's views