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arxiv: 1111.0462 · v7 · pith:GTF4Q7CRnew · submitted 2011-11-02 · 🧮 math.LO

Proof theory of weak compactness

classification 🧮 math.LO
keywords theorycardinalcollapsingscompactcompactnessexistenceiterationsmahlo
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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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