more from John Mayberry

Single Idea 17801

[catalogued under 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets]

Full Idea

The idea of 'generating' sets is only a metaphor - the existence of the hierarchy is established without appealing to such dubious notions.

Gist of Idea

The set hierarchy doesn't rely on the dubious notion of 'generating' them


John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.414

A Reaction

Presumably there can be a 'dependence' or 'determination' relation which does not involve actual generation.