Full Idea
Axiom of Infinity: There is at least one limit level.
Gist of Idea
Infinity: There is at least one limit level
Source
Michael Potter (Set Theory and Its Philosophy [2004], 04.9)
Book Reference
Potter,Michael: 'Set Theory and Its Philosophy' [OUP 2004], p.68
A Reaction
A 'limit ordinal' is one which has successors, but no predecessors. The axiom just says there is at least one infinity.
Related Idea
Idea 15931 The iterative conception needs the Axiom of Infinity, to show how far we can iterate [Lavine]