Set of Natural Numbers can be Derived using Axiom of Abstraction

Theorem

Let $\N$ denote the set of natural numbers.

By application of the Axiom of Abstraction, $\N$ can be derived as a valid object in Frege set theory.

Proof

This theorem requires a proof. In particular: Use the same construction as in ZF You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

• 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $1$: General Background: $\S 7$ Frege set theory