more from William D. Hart

### Single Idea 13493

#### [catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII]

Full Idea

In the second half of the twentieth century there emerged the opinion that foundation is the heart of the way to do set theory.

Gist of Idea

In the modern view, foundation is the heart of the way to do set theory

Source

William D. Hart (The Evolution of Logic [2010], 3)

Book Reference

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.79

A Reaction

It is foundation which is the central axiom of the iterative conception of sets, where each level of sets is built on previous levels, and they are all 'well-founded'.