My mathematics teacher says that a line is an infinite sum of points. I disagree and I think that she must not have thought it through very deeply. I argue that instead that though a line can be theoretically be described as a sum of smaller lines that in no way can a line be said to be described as a continuity of points because a point is not in any way extended. If a line has an atomic unit then that unit must have the same properties as the line itself and a point has an altogether different property than a line. (That you can fit a point inside a line only shows their common property of spaciality, it does not demonstrate that a line is in any way composed of points) I hope you understand what I am saying. Do you think I am right?
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