Single Idea 10702

[catalogued under 4. Formal Logic / F. Set Theory ST / 1. Set Theory]

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


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.