Infinite Forcing and the Generic Multiverse

被引：2
|
作者：
Venturi, Giorgio [1 ]
机构：
[1] Philosophy Dept Unicamp, Rua Cora Coralina,100 Barao Geraldo, Campinas, SP, Brazil
来源：
STUDIA LOGICA | 2020年 / 108卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Set theory; Genericity; Forcing; Robinson's infinite forcing; Bounded Forcing Axioms; Generic absoluteness;
D O I：
10.1007/s11225-019-09851-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we present a technique for selecting models of set theory that are complete in a model-theoretic sense. Specifically, we will apply Robinson infinite forcing to the collections of models of ZFC obtained by Cohen forcing. This technique will be used to suggest a unified perspective on generic absoluteness principles.
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页码：277 / 290
页数：14
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