2.4. The Real Number System

Theorem 2.4.6: Properties of R and Q

The set of real numbers satisfies the Archimedean Property:
Let a and b be positive real numbers. Then there is a natural number n such that n * a > b

The set of rational numbers satisfies the following Density Property:
Let c < d be real numbers. Then there is a rational number q with c < q < d.


It sounds obvious enough, and will be proved later.
Next | Previous | Glossary | Map