摘要: In this article we show that Morse-Kelley class theory (MK) provides us with an adequate framework for forcing. We give a rigorous definition of forcing in model \((M,\mathcal {C})\) MK, the main result being Definability Lemma (and Truth Lemma) can be proven without restricting notion Furthermore under which conditions axioms are preserved. conclude by proving Laver’s Theorem does not hold forcings.