Form equivalence class Howard-Rubin Number: 40

Statement:

For all ordinals \(\alpha\), the \(\aleph_{\alpha}\) partition principle holds: For every ordinal \(\alpha\) and every cardinal \(\kappa\), if \(\aleph_{\alpha}\le^* \kappa\), then \(\aleph_{\alpha} \le\kappa\).

Howard-Rubin number: 40 B

Citations (articles): Pelc [1978] On some weak forms of the axiom of choice in set theory
Banaschewski/Moore [1990] The dual Cantor-Bernstein theorem and the partition principle

Connections (notes): Note [69]

[40 B] implies Form 208


References (books):

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