# Countability of Rational Numbers: PWW

The rational numbers are naturally embedded into the set of integer pairs **N**² = {(n, m): n, m ∈ **N**}.**N**² countable. Thus the same holds for the set **Q** of rational numbers.

### References

### Countability of Rational Numbers

- Counting Ordered Pairs
- Countable Times Countable Is Countable
- Countability of Rational Numbers
- Countability of Rational Numbers: PWW
- Countability Principle
- Countability of Rational Numbers via Conitnued Fractions
- Fractions on a Binary Tree II
- Countability of Rational Numbers as a Union of Finite Sets
- A New Proof That the Rationals Are Countable

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