# Set of Natural Numbers can be Derived using Axiom of Abstraction

Jump to navigation
Jump to search

## 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 ZFYou 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