Philosophy Forcing

  • FB Philosophie
  Antos, Carolin (2018): Class Forcing in Class Theory The hyperuniverse project and maximality / Antos, Carolin; Friedman, Sy-David; Honzik, Radek; Ternullo, Claudio (Hrsg.). - Cham : Birkhäuser, 2018. - S. 1-16. - ISBN 978-3-319-62934-6

Class Forcing in Class Theory


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,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.

Origin (projects)

Funding sources
Name Project no. Description Period
Sonstige EU554/17
Further information
Period: 01.04.2017 – 31.03.2019