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Generic I0 at $leph_omega$

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

It is common practice to consider the generic version of large cardinals defined with an elementary embedding, but what happens when such cardinals are really large? The talk will concern a form of generic I0 and the consequences of this extravagant hypothesis on the “largeness” of the powerset of $leph_omega$. This research is a result of discussions with Hugh Woodin.

This talk is part of the Isaac Newton Institute Seminar Series series.

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