List of ordinals: Difference between revisions

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* [[A-recursion theory|α-recursion theory]] (the study of generalising recursion on the natural numbers to on L_α for [[admissible]] ordinals α)
* [[B-recursion theory|β-recursion theory]] (the generalisation of α-recursion theory to non-admissible α)
* [[Proof theory]] and [[ordinal analysis]] (which assigns recurisverecursive ordinals to theories according to the lengths of the recursive wellorderswell-orders they can prove well-founded)
* Googology (which translates recursive ordinal notations into systems for constructing large finite numbers).