Proof theory of weak compactness

Details Proof theory of weak compactness Proof theory of weak compactness

2011-11-02

arxiv.org/abs/1111.0462v6

Mathematics

Logic

Scientific paper

We show that the existence of a weakly compact cardinal over the
Zermelo-Fraenkel's set theory is proof-theoretically reducible to iterations of
Mostowski collapsings and Mahlo operations.

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