◀ ▲ ▶Branches / Set-theory / Definition: Comparison of Cardinal Numbers
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.
Definition: Comparison of Cardinal Numbers
Let \(A\) and \(B\) be sets. We define for the cardinals \(|A|\) and \(|B|\):
Proofs: 5 6 7 8 9
- Ebbinghaus, H.-D.: "Einführung in die Mengenlehre", BI Wisschenschaftsverlag, 1994, 3th Edition