Full Idea
Set theory has three roles: as a means of taming the infinite, as a supplier of the subject-matter of mathematics, and as a source of its modes of reasoning.
Gist of Idea
Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning
Source
Michael Potter (Set Theory and Its Philosophy [2004], Intro 1)
Book Reference
Potter,Michael: 'Set Theory and Its Philosophy' [OUP 2004], p.4
A Reaction
These all seem to be connected with mathematics, but there is also ontological interest in set theory. Potter emphasises that his second role does not entail a commitment to sets 'being' numbers.