In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line
We consider the set of real numbers, denoted by R, as the points on an infinite straight line – called the real line– on which we have fixed two different points, say “0” and “1”. We consider the distance between 0 and 1 as one unit, and therefore, the points 0 and 1 define a measure on the real line. This measure has also a direction,namely from 0 to 1, denoted~01, thus, the distance between two points can also be negative. Further, we identify a point on the real line with its distance to 0 (with respect to the measure~01) and this distance is called a real number.
This basic maths suggests that we can't have real numbers without a real line.
But also there are no gaps in a real line. Does that mean that any point along any line must exist, including its start and end points?
I'm asking because I don't understand how the point instant of my death (at the end of life) can be said to exist. But I don't explain that, in order to stay on topic.