Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /home/clients/b010bcc84441ff7c5adbaf4e922effaa/web/mom/module/pub/view-inc.php on line 105
Repository | Book | Chapter
Class forcing in class theory
pp. 1-16
Abstract
In this article we show that Morse-Kelley class theory (MK) provides us with an adequate framework for class forcing. We give a rigorous definition of class forcing in a model ((M,mathcal {C})) of MK, the main result being that the Definability Lemma (and the Truth Lemma) can be proven without restricting the notion of forcing. Furthermore we show under which conditions the axioms are preserved. We conclude by proving that Laver's Theorem does not hold for class forcings.
Publication details
Published in:
Antos Carolin, et al. (2018) The hyperuniverse project and maximality. Dordrecht, Springer.
Pages: 1-16
Deprecated: DateTime::createFromFormat(): Passing null to parameter #2 ($datetime) of type string is deprecated in /home/clients/b010bcc84441ff7c5adbaf4e922effaa/web/mom/module/pub/view-inc.php on line 496
DOI: 10.1007/978-3-319-62935-3_1
Full citation:
Antos Carolin (2018) „Class forcing in class theory“, In: C. Antos, R. Honzik, C. Ternullo & S. Friedman (eds.), The hyperuniverse project and maximality, Dordrecht, Springer, 1–16.


