Note 885 — Chapter VIII · THE YOUNGER ELEATICS

This is what Aristotle calls “the argument from dichotomy” (Phys. Α, 3. 187 a 1; R. P. 134 b). If a line is made up of points, we ought to be able to answer the question, “How many points are there in a given line?” On the other hand, you can always divide a line or any part of it into two halves; so that, if a line is made up of points, there will always be more of them than any number you assign.