the first instant of its occurrence, necessarily with a particular point. That point would therefore be the first point of alignment. Yet the line’s being infinite precludes this, because alignment with a higher point occurs before alignment with a lower point. If the line is infinite, every point on it has another point above it. This prevents the first alignment from occurring with any particular point. Thus, this supposition requires that the infinite line both contain a first point of alignment and contain no such point. This impossibility follows only from our supposition that the line is infinite; that supposition must therefore be impossible. It is thus established that the assertion that an infinite extension exists is impossible.

Second: if the assertion that there exists an extension that is not