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Single Idea 17634

[from 'Principles of Arithmetic, by a new method' by Giuseppe Peano, in 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic ]

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]