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Infinite Forcing and the Generic Multiverse

  • Giorgio VenturiEmail author
Article

Abstract

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.

Keywords

Set theory Genericity Forcing Robinson’s infinite forcing Bounded Forcing Axioms Generic absoluteness 

Mathematics Subject Classification

03E35 03E57 03C25 

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Notes

Acknowledgements

We thank an anonymous referee for the careful reading, comments, and criticisms. We acknowledge the kind support of FAPESP in the form of the Jovem Pesquisador grant n. 2016/25891-3.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Philosophy department UnicampBarão Geraldo, CampinasBrazil

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