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Channel: Where did Zermelo first model the natural numbers by iterates of the singleton operator, and have the definitions been compared by himself? - MathOverflow
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Answer by Peter Heinig for Where did Zermelo first model the natural numbers...

Another go at the original publications turned up an easy, and probably widely-known, answer to question (0): Zermelo's model appears, even typographically identical to the usual form given today, at...

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Where did Zermelo first model the natural numbers by iterates of the...

E. Zermelo is widely said to have modelled the (axioms of the) natural numbers by iterating the singleton operation $\{\cdot\}\colon \mathsf{Set}\rightarrow\mathsf{Set}$, $S\mapsto\{S\}$, whence the...

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