Lifting up the proof theory to the countables : Zermelo-Fraenkel's set theory

Details Lifting up the proof theory to the countables : Zermelo-Fraenkel's set theory Lifting up the proof theory to the countables : Zermelo-Fraenkel's set theory

2011-01-29

arxiv.org/abs/1101.5660v3

Mathematics

Logic

arXiv admin note: substantial text overlap with arXiv:1111.0462

Scientific paper

We describe the countable ordinals in terms of iterations of Mostowski
collapsings. This gives a proof-theoretic bound of definable countable ordinals
in the Zermelo-Fraenkel's set theory ZF.

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