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Full Idea
Although it is impossible to make contact in a finite time with things that are infinite in quantity, it is possible to do so with things that are infinitely divisible, since the time itself is also infinite in this way.
Gist of Idea
We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible
Source
comment on Zeno (Elea) (fragments/reports [c.450 BCE], A25) by Aristotle - Physics 233a21
Book Ref
'The First Philosophers', ed/tr. Waterfield,Robin [OUP 2000], p.75
5109 | The fast runner must always reach the point from which the slower runner started [Zeno of Elea, by Aristotle] |
1507 | We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible [Aristotle on Zeno of Elea] |
21585 | The tortoise won't win, because infinite instants don't compose an infinitely long time [Russell] |
7557 | To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell] |
14149 | The Achilles Paradox concerns the one-one correlation of infinite classes [Russell] |
21690 | Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine] |
8075 | Space and time are atomic in the arrow, and divisible in the tortoise [Devlin] |
4229 | An infinite series of tasks can't be completed because it has no last member [Lowe] |
20457 | Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli] |