Ordinal Systems
نویسنده
چکیده
Ordinal systems are structures for describing ordinal notation systems, which extend the more predicative approaches to ordinal notation systems, like the Can-tor normal form, the Veblen function and the Sch utte Klammer symbols, up to the Bachmann-Howard ordinal.-ordinal systems, which are natural extensions of this approach, reach without the use of cardinals the strength of the theories for trans-nitely iterated inductive deenitions ID in an essentially predicative way. We explore the relationship with the traditional approach to ordinal notation systems via cardinals and determine, using \extended Sch utte Klammer symbols", the exact strength of-ordinal systems.
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تاریخ انتشار 1998