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Full Idea
If there is a place it will be in something, because everything that exists is in something. But what is in something is in a place. Therefore the place will be in a place, and so on ad infinitum. Therefore, there is no such thing as place.
Gist of Idea
If everything is in a place, what is the place in? Place doesn't exist
Source
report of Zeno (Elea) (fragments/reports [c.450 BCE], B3) by Simplicius - On Aristotle's 'Physics' 9.562.3
Book Ref
'The First Philosophers', ed/tr. Waterfield,Robin [OUP 2000], p.79
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] |
1508 | Zeno's arrow paradox depends on the assumption that time is composed of nows [Aristotle on Zeno of Elea] |
1512 | Zeno is wrong that one grain of millet makes a sound; why should one grain achieve what the whole bushel does? [Aristotle on Zeno of Elea] |
454 | If there are many things they must have a finite number, but there must be endless things between them [Zeno of Elea] |
1511 | If everything is in a place, what is the place in? Place doesn't exist [Zeno of Elea, by Simplicius] |
455 | That which moves, moves neither in the place in which it is, nor in that in which it is not [Zeno of Elea] |