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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 Ref
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]
| 15653 | We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano] |
| 13949 | All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano] |
| 18113 | PA concerns any entities which satisfy the axioms [Peano, by Bostock] |
| 17634 | Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell] |
| 17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |