Single Idea 14440

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

Full Idea

There is no logical reason against infinite collections, and we are therefore justified, in logic, in investigating the hypothesis that there are such collections.

Gist of Idea

We may assume that there are infinite collections, as there is no logical reason against them

Source

Bertrand Russell (Introduction to Mathematical Philosophy [1919], VIII)

Book Reference

Russell,Bertrand: 'Introduction to Mathematical Philosophy' [George Allen and Unwin 1975], p.77


Related Idea

Idea 15931 The iterative conception needs the Axiom of Infinity, to show how far we can iterate [Lavine]