Class-Forcing in Class Theory
Logic
2015-03-03 v1
Abstract
In this article we adapt the existing account of class-forcing over a ZFC model to a model of Morse-Kelley class theory. We give a rigorous definition of class-forcing in such a model and show that the Definability Lemma (and the Truth Lemma) can be proven without restricting the notion of forcing. Furthermore we show under which conditions the axioms are preserved. We conclude by proving that Laver's Theorem does not hold for class-forcings.
Keywords
Cite
@article{arxiv.1503.00116,
title = {Class-Forcing in Class Theory},
author = {Carolin Antos},
journal= {arXiv preprint arXiv:1503.00116},
year = {2015}
}