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Single Idea 20457

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

Full Idea

One possible answer is that Zeno is wrong because it is not true that by accumulating an infinite number of things one ends up with an infinite thing.

Gist of Idea

Zeno assumes collecting an infinity of things makes an infinite thing

Source

Carlo Rovelli (Reality is Not What it Seems [2014], 01)

Book Ref

Rovelli,Carlo: 'Reality is Not What it Seems', ed/tr. Carnell/Segre [Penguin 2016], p.14


A Reaction

I do love it when deep and complex ideas are expressed with perfect simplicity. As long as the simple version is correct.


The 9 ideas with the same theme [problem when analysing a pursuit race]:

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]
The tortoise won't win, because infinite instants don't compose an infinitely long time [Russell]
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
The Achilles Paradox concerns the one-one correlation of infinite classes [Russell]
Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine]
Space and time are atomic in the arrow, and divisible in the tortoise [Devlin]
An infinite series of tasks can't be completed because it has no last member [Lowe]
Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli]