Definition:Natural Numbers/Zermelo Construction/Historical Note
Historical Note on Zermelo Construction of Natural Numbers
While the approach is simple, it does not generalize easily to transfinite ordinals.
As a result, it is generally considered inferior to the von Neumann construction, which has considerable advantages over it.
Hence this approach is rarely seen, and noted for historical reasons only.
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $3$: The Natural Numbers: $\S 1$ Preliminaries