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]