▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Binary endorelation
▾ Preordering relation
▾ Partial ordering relation
▾ Ordering relation
▾ Ordered set
▾ Dedekind cut
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}
Also known as
The real number line
Child definitions
» D1275: Set of basic numbers
» D370: Set of irrational numbers
Results
» R4483: Real number is zero iff equal to its reflection