> Your notion of "infinite" is the issue. Between any > two points, there is another point, halfway between > them. This continues without end. > > Bob Hansen
But if between any two points there is another, I really cannot understand how a finite straight-line can be made up of infinite points. I cannot help thinking that the sum of infinite points is either nothing or an infinite straight-line. At any rate, when we have two finite straight-lines, and comparing them (by applying one on the other), if the first exceeds the other, then we say that the first is greater than the second, but if they are both made up of infinite points how can one of them be greater than the other? Would you not rather say that the first being greater is made up of more points? But if it's made up of more points, then what follows is that they are both made up of a finite number of points. I'm really perplexed, and perhaps I'm talking nonsense, so I'd like to have a clear explanation.