# Natural Numbers as Cardinals

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## Theorem

The natural numbers $\N = \set {0, 1, 2, 3, \ldots}$ can be defined as the set of cardinals.

## Proof

From Finite Cardinals form Infinite Set we have that the cardinals form a set which is infinite.

## Sources

- 1975: T.S. Blyth:
*Set Theory and Abstract Algebra*... (previous) ... (next): $\S 8$