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Single Idea 1507

[filed under theme 5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox ]

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


The 7 ideas from 'fragments/reports'

The fast runner must always reach the point from which the slower runner started [Zeno of Elea, by Aristotle]
We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible [Aristotle on Zeno of Elea]
Zeno's arrow paradox depends on the assumption that time is composed of nows [Aristotle on Zeno of Elea]
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]
If there are many things they must have a finite number, but there must be endless things between them [Zeno of Elea]
If everything is in a place, what is the place in? Place doesn't exist [Zeno of Elea, by Simplicius]
That which moves, moves neither in the place in which it is, nor in that in which it is not [Zeno of Elea]