Axiom:Aleph Hypothesis
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Axiom
The aleph hypothesis is the proposition:
- $\aleph_{\alpha} = \beth_{\alpha}$ for all ordinals $\alpha$
where $\aleph_\alpha$ is the Aleph ($\aleph$) mapping and $\beth_\alpha$ is the Beth ($\beth$) mapping.
Notation
The Aleph hypothesis may be abbreviated $\operatorname{AH}$.
Sources
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