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Unformatted text preview: a G-run) that is not a Z-run. To think this is impossible requires an equivocation on the word run. This turns out to be a weak reply. For although it shows that Zeno doesnt get his contradiction from the assumption that R makes all the Z-runs, it concedes too much to Zeno. For it supposes that there is some description of a super-task (making all the Z-runs and no other runs) that does lead to a contradiction. That is, Thomson maintains both: i. R makes all the Z-runs and no other runs entails R reaches G and ii. R makes all the Z-runs and no other runs entails R does not reach G . But as Paul Benacerraf has shown (in the article Tasks, Super-tasks, and the Modern Eleatics, on e-reserve) neither of these entailments holds. That is, we cannot derive a contradiction even from the assumption that R makes all the Z-runs and no others ....
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- Fall '09