Definition:Weakly Inaccessible Cardinal
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Definition
An infinite cardinal $\aleph_\kappa$ is weakly inaccessible if and only if:
- $(1): \quad \kappa$ is a limit ordinal.
- $(2): \quad \aleph_\kappa$ is a regular cardinal.
Also see
Sources
- 1971: Gaisi Takeuti and Wilson M. Zaring: Introduction to Axiomatic Set Theory: $\S 10.66 \ (1)$