English

Infinite forcing and the generic multiverse

Logic 2019-03-26 v1

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

Cite

@article{arxiv.1903.09960,
  title  = {Infinite forcing and the generic multiverse},
  author = {Giorgio Venturi},
  journal= {arXiv preprint arXiv:1903.09960},
  year   = {2019}
}
R2 v1 2026-06-23T08:17:22.547Z