Full Idea
Peano Arithmetic is about any system of entities that satisfies the Peano axioms.
Gist of Idea
PA concerns any entities which satisfy the axioms
Source
report of Giuseppe Peano (Principles of Arithmetic, by a new method [1889], 6.3) by David Bostock - Philosophy of Mathematics 6.3
Book Reference
Bostock,David: 'Philosophy of Mathematics: An Introduction' [Wiley-Blackwell 2009], p.183
A Reaction
This doesn't sound like numbers in the fullest sense, since those should facilitate counting objects. '3' should mean that number of rose petals, and not just a position in a well-ordered series.
Related Idea
Idea 14424 Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell]