Wednesday, September 13, 2006

MOTION - ZENO'S PARADOXES
(Paradox from the Greek "para doxa" something contrary to opinion)



The third is … that the flying arrow is at rest, which result follows from
the assumption that time is composed of moments … . he says that if
everything when it occupies an equal space is at rest, and if that which
is in locomotion is always in a now, the flying arrow is therefore
motionless. (Aristotle Physics, 239b.30)

Zeno abolishes motion, saying "What is in motion moves neither in the
place it is nor in one in which it is not". (Diogenes Laertius Lives of
Famous Philosophers, ix.72)

This argument against motion explicitly turns on a particular kind of
assumption of plurality: that time is composed of moments (or ‘nows’) and
nothing else. Consider an arrow, apparently in motion, at any instant.
First, Zeno assumes that it travels no distance during that moment -- ‘it
occupies an equal space’ for the whole instant. But the entire period of
its motion contains only instants, all of which contain an arrow at rest,
and so, Zeno concludes, the arrow cannot be moving.


Edweard Muybridge - "Freeze frame", pioneer in stop motion photography



Nude descending a staircase, Marcel Duchamp 1912, a scandal when first shown in the Armory show. The object at each moment is at a fixed position (according to Zeno at rest) how can it then move?
The Paradoxa of Zeno of Elea are an example of ancient Greek abstract reasoning that is even in contradiction to observation. How can it be true that nothing moves when our observation “confirms” Heraclitus statement “everything moves and changes”?

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