Definition:Real Number/Number Line Definition
The real number line is an arbitrary infinite straight line each of whose points is identified with a real number such that the distance between any two real numbers is consistent with the length of the line between those two points.
For example: $\mathbf R$, $\RR$ and $\mathfrak R$, or even just $R$.
They are sometimes referred to in the pedagogical context as ordinary numbers, so as to distinguish them from complex numbers
Hence it is wise to be specific.
- Results about real numbers can be found here.
- 1960: Walter Ledermann: Complex Numbers ... (previous) ... (next): $\S 1.1$. Number Systems
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 1.1$. Sets: Example $2$
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $1$: Algebraic Structures: $\S 1$: The Language of Set Theory
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 1$: Real Numbers: $\S 1.2$: The set of real numbers