Full Idea
Peano's premises are recommended not only by the fact that arithmetic follows from them, but also by their inherent obviousness.
Gist of Idea
Peano axioms not only support arithmetic, but are also fairly obvious
Source
report of Giuseppe Peano (Principles of Arithmetic, by a new method [1889], p.276) by Bertrand Russell - Regressive Method for Premises in Mathematics p.276
Book Reference
Russell,Bertrand: 'Essays in Analysis', ed/tr. Lackey,Douglas [George Braziller 1973], p.276
Related Idea
Idea 17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]