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- Title
A NOTATION SYSTEM FOR ORDINAL USING Ψ-FUNCTIONS ON INACCESSIBLE MAHLO NUMBERS.
- Authors
Pfeiffer, Helmut; Pfeiffer, H.
- Abstract
The article discusses the recursive notation system for ordinals using the hierarchy function of weakly inaccessible Mahlo numbers. It says that an ordinal number can be considered Mahlo if every normal-function has regular fixpoints. It mentions that ordinal notation has been established by getting the proper systematical order in the collapsing procedure and recursion on the suitable well-ordering of the pair of ordinals.
- Subjects
RECURSIVE functions; MATHEMATICAL notation; ORDINAL numbers; SET theory; NORMAL numbers; BINARY number system
- Publication
Mathematical Logic Quarterly, 1992, Vol 38, Issue 1, p431
- ISSN
0942-5616
- Publication type
Article
- DOI
10.1002/malq.19920380142