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arxiv: math/9205201 · v1 · submitted 1992-05-01 · 🧮 math.LO

The Cardinality of the second uniform indiscernible

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keywords indiscernibleseconduniformalephcardinalityconstructscountablydescriptive
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When the second uniform indiscernible is $\aleph_{2}$, the Martin-Solovay tree only constructs countably many reals; this resolves a number of open questions in descriptive set theory.

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