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Single Idea 454

[filed under theme 26. Natural Theory / A. Speculations on Nature / 1. Nature ]

Full Idea

It things are many, they can't be more or less than they are, so they must be finite, but also there must be endless things between each thing, so they must be infinite.

Gist of Idea

If there are many things they must have a finite number, but there must be endless things between them

Source

Zeno (Elea) (fragments/reports [c.450 BCE], B3), quoted by Simplicius - On Aristotle's 'Physics' 140.29

Book Ref

'Ancilla to the Pre-Socratic Philosophers', ed/tr. Freeman,Kathleen [Harvard 1957], p.47


The 7 ideas from Zeno (Elea)

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]