The power of Cantor's idea of a cardinal number lies in the fact that it is good for classifying and comparing not only finite but also infinite sets with respect to the number of their elements.
Let \(A\) and \(B\) be sets. We define for the cardinals \(|A|\) and \(|B|\):
Chapters: 1
Definitions: 2
Explanations: 3
Motivations: 4
Proofs: 5 6 7 8 9
Propositions: 10