3 research outputs found

    Global choice is not conservative over local choice for Zermelo set theory

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    We prove that Global Choice is not conservative over ZC and that ZF βˆ’- Union does not prove existence of xβˆͺyx \cup y for all xx and yy. Each proof is by constructing a pathological model inside a symmetric extension of L.L.Comment: 11 page

    On hereditarily countable sets

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