Full Idea
We can never use experience to prove the inductive principle without begging the question.
Gist of Idea
We can't prove induction from experience without begging the question
Source
Bertrand Russell (Problems of Philosophy [1912], Ch. 6)
Book Reference
Russell,Bertrand: 'The Problems of Philosophy' [OUP 1995], p.38
A Reaction
This highlights why induction is such a big problem for hard-line empiricists, who are reduced to saying that it is a 'dogma', or an unsupported 'natural belief'. And that seems right. All creatures which evolve in a stable universe will do induction.