Abstract
Mahlo used a method by which fixed points of an enumeration of regular cardinals were employed to get a hierarchy of "large cardinals." He also employed a second method which, in a certain sense, is much stronger than the first. Here the methods are investigated and generalized and the relations between them are clarified. This stronger method turns out to be a kind of "least upper bound" to all "fixed-points operations." Possibilities of strengthening these processes in a natural way are pointed out.
Original language | English |
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Pages (from-to) | 188-200 |
Number of pages | 13 |
Journal | Israel Journal of Mathematics |
Volume | 5 |
Issue number | 3 |
DOIs | |
State | Published - Jul 1967 |