Abstract
In this chapter we shall compare different cardinal numbers in Zermelo–Fraenkel Set Theory, which is Set Theory without the Axiom of Choice. For example, it will be shown that for any infinite set A, the cardinality of the set of finite subsets of A is always strictly smaller than the cardinality of the power set of A.KeywordsRelative CardinalityGoodstein SequenceCantor-Bernstein TheoremCantor Normal FormHartogsThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
