The

**set of basic real numbers**is the D11: Set \begin{equation} \mathbb{R} : = \{ x : x \text{ is Dedekind cut in } \mathbb{Q} \} \end{equation}

Definition D282

Set of real numbers

Formulation 0

Let $\mathbb{Q}$ be the D368: Set of rational numbers.

The**set of basic real numbers** is the D11: Set
\begin{equation}
\mathbb{R}
: = \{ x : x \text{ is Dedekind cut in } \mathbb{Q} \}
\end{equation}

The

Children

▶ | Set of basic numbers |

▶ | Set of irrational numbers |

Results

▶ | Real number is zero iff equal to its reflection |