Definition of Hyperinaccessible. Meaning of Hyperinaccessible. Synonyms of Hyperinaccessible

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Definition of Hyperinaccessible

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Meaning of Hyperinaccessible from wikipedia

- In set theory, an uncountable cardinal is inaccessible if it cannot be obtained from smaller cardinals by the usual operations of cardinal arithmetic....
- -comprehension. An ordinal α {\displaystyle \alpha } is called recursively hyperinaccessible if it is recursively inaccessible and a limit of recursively inaccessibles...
- P h {\displaystyle {\mathsf {KPh}}} ****erts that the universe is hyperinaccessible: an inaccessible set and a limit of inaccessible sets. K P M {\displaystyle...
- given by a transfinite extension of the notion of arithmetic set hyperinaccessible hyper-inaccessible 1.  "Hyper-inaccessible cardinal" usually means...
- inaccessible and a limit of recursively inaccessibles is called recursively hyperinaccessible. There exists a theory of large ordinals in this manner that is highly...