The Theory of Sets of Ordinals

Details The Theory of Sets of Ordinals The Theory of Sets of Ordinals

2005-02-13

arxiv.org/abs/math/0502265v1

Mathematics

Logic

17 pages

Scientific paper

We propose a natural theory SO axiomatizing the class of sets of ordinals in
a model of ZFC set theory. Both theories possess equal logical strength.
Constructibility theory in SO corresponds to a natural recursion theory on
ordinals.

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