Unformatted text preview: one by one in a finite time ” ( Physics 233a21-24). 3. Aristotle points out that there are two ways in which a quantity can be said to be infinite: in extension or in divisibility . The race course is infinite in divisibility. But, Aristotle goes on, “the time is also infinite in this respect.” Hence, there is a sense in which R has an infinite number of distances to cross. But in that sense he also has an infinite amount of time to do it in. (If a finite distance is infinitely divisible, then why isn’t a finite time also infinitely divisible?) 4. So Zeno cannot establish (2) for either of the first two reasons we considered: to make all the Z-runs, R does not have to run infinitely far. Nor does R have to keep running forever....
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- Fall '09
- Set Theory, Philosophy of mathematics