This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Alternatively, one might object to (1) on the grounds that passing through all the Z-points (even though there are infinitely many of them) does not constitute making an infinite number of Z-runs. The reason might be that after you keep halving and halving the distance, you eventually get to distances that are so small that they are no larger than points. But points have no dimension, so no run is needed to cross one. But this is a mistake . For every Z-run, no matter how tiny, covers a finite distance (>0). No Z-run is as small as a point. So we have established that the first premise is true . (Note: this does not establish that R can actually get from S to G . It only establishes that if he does, he will make all the Z-runs.) d. The crucial premise is (2). Why cant R make infinitely many Z-runs? Our difficulty here is that Zeno gives no explicit argument in support of (2)....
View Full Document
- Fall '09