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Proposition: Uncountable and Countable Subsets of Natural Numbers

1. The set $2^{\mathbb N}:=\{f\mid \mathbb N\to \{0,1\}\}$ of all[^1] [subsets]bookofproofs$552 of the natural numbers $\mathbb N$ is uncountable.
2. The set $2^{\mathbb N}:=\{f\mid \mathbb N\to \{0,1\}\}$ of all[^1] [subsets]bookofproofs$552 of the natural numbers $\mathbb N$ is uncountable.

Table of Contents

Proofs: 1

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983

Footnotes