My answer would be "that depends on what the straight-line is defined to represent". You can't tell just by looking at the line. You need more context.
When the "set of real numbers" is what's considered to be represented, then the answer is there's an infinity of points between any two. But that's not the only set people care about and you can draw lines and not mean "real numbers" by them.
So don't let lines by themselves dictate. If the context is missing i.e. the set is unspecified, then take the liberty of applying your own meaning. I personally don't care for the "real numbers" a whole lot, so if a loophole is left open, I might well take advantage and go with some other set, even the complex numbers.
On Sun, Jan 26, 2014 at 1:36 PM, Neighbor <firstname.lastname@example.org> wrote:
> I should very much like to know whether a straight-line has infinite > points on it or a finite number of points on it? > For those who answer I'd like to have an explanation of what they say too. >