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Erschienen in:
2011 | OriginalPaper | Buchkapitel
The Cantor–Schröder–Bernstein Theorem
verfasst von : Ulrich Daepp, Pamela Gorkin
Erschienen in: Reading, Writing, and Proving
Verlag: Springer New York
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Suppose we have two finite sets. We have developed enough machinery to tell when one set has more elements than another. But what about infinite sets? For example, we might consider
$$\mathbb{N}$$
and
$$\mathbb{Z^+}$$
, and we may ask which one has more elements. Well, we have already developed mathematical concepts that convince us that these two sets have the same number of elements. In this chapter, we investigate the situation for general infinite sets.