Given two infinite sets, is there a sensible way to decide which one is larger? For instance, if A is the set of even integers, and B is the interval [0, 1], is there a way to compare their sizes? In this section, we focus on such questions and introduce the notion of cardinality, which is used to describe “how many elements” a (potentially infinite) set has. This leads to some interesting and counterintuitive consequences. However, we must first prepare the ground by discussing injections, surjections, bijections, and related results.
Review the options below to login to check your access.
Log in with your Cambridge Aspire website account to check access.
If you believe you should have access to this content, please contact your institutional librarian or consult our FAQ page for further information about accessing our content.