Philosophy Forcing

Participants
Institutions
  • FB Philosophie
Publications
  Antos, Carolin (2018): Class Forcing in Class Theory ANTOS, Carolin, ed., Sy-David FRIEDMAN, ed., Radek HONZIK, ed., Claudio TERNULLO, ed.. The hyperuniverse project and maximality. Cham: Birkhäuser, 2018, pp. 1-16. ISBN 978-3-319-62934-6. Available under: doi: 10.1007/978-3-319-62935-3_1

Class Forcing in Class Theory

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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