more on this theme     |     more from this thinker     |     more from this text

Single Idea 18191

[filed under theme 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V ]

Full Idea

The axiom of infinity: that there are infinite sets is to claim that completed infinite collections can be treated mathematically. In its standard contemporary form, the axioms assert the existence of the set of all finite ordinals.

Gist of Idea

Axiom of Infinity: completed infinite collections can be treated mathematically

Source

Penelope Maddy (Naturalism in Mathematics [1997], I.3)

Book Ref

Maddy,Penelope: 'Naturalism in Mathematics' [OUP 2000], p.52