BOOLEAN-VALUED MODELS OF SET THEORY: FIRST STEPS
This chapter presents a brief overview of the concepts from axiomatic set theory, then constructs the Boolean-valued universe V(B) and establishes its basic properties. The idea of a mixture of Boolean-valued sets is introduced and used to prove the Maximum Principle. The truth of the axioms of set theory in V(B) is then established. The chapter concludes with a discussion of ordinals, cardinals, and constructible sets V(B).
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