Axiom:Peano's Axioms/Historical Note

Historical Note on Peano's Axioms
Peano's axioms were formulated by, and were later refined by.

According to :


 * [These] assertions ... are known as the Peano axioms; they used to be considered as the fountainhead of all mathematical knowledge.

It is worth pointing out that the Peano axioms can be deduced to hold for the minimal infinite successor set as defined by the Axiom of Infinity from the Zermelo-Fraenkel axioms.

Thus they are now rarely considered as axiomatic as such.

However, in their time they were groundbreaking.