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There is No Standard Model of ZFC and ZFC_2 with Henkin semantics.Generalized Lobs Theorem.Strong Reflection Principles and Large Cardinal Axioms.Consistency Results in Topology

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 نشر من قبل Jaykov Foukzon
 تاريخ النشر 2013
  مجال البحث
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 تأليف Jaykov Foukzon




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In this article we proved so-called strong reflection principles corresponding to formal theories Th which has omega-models. An posible generalization of the Lobs theorem is considered.Main results is: (1) let $k$ be an inaccessible cardinal, then $ eg Con(ZFC+exists k)$,(2) there is a Lindelof $T_3$ indestructible space of pseudocharacter $leqslant aleph_1$ and size $aleph_2$ in $L$.

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