Zeno's Paradoxes

GDT came across the Zeno's paradoxes while reading the book "What the Bleep Do We Know!?"

Who was Zeno? Zeno was a Greek philosopher, born at Elea (Italy), about 490 B.C.

What's a paradox? A paradox is an "apparently true statement or group of statements that leads to a contradiction or a situation which defies intuition." Example: The liar's paradox: "This sentence is false."

What are Zeno's paradoxes? Zeno's paradoxes are a "set of paradoxes devised by Zeno of Elea to support Parmenides' doctrine that 'all is one' and that contrary to the evidence of our senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion."

Achilles and the Tortoise

This Zeno paradox divides space into segments.

   "In a race, the quickest runner can never overtake the slowest, 
    since the pursuer must first reach the point whence the pursued 
    started, so that the slower must always hold a lead."
The Dichotomy

This Zeno paradox divides space into segments.

   "That which is in locomotion must arrive at the half-way stage 
    before it arrives at the goal."

Note: Dichotomy is the "splitting of a whole into exactly two non-overlapping parts."

GDT::BAB:: Zeno's Paradox -- The Dichotomy

The Arrow (or Fletcher)

This Zeno paradox divides time into points.

   "If everything when it occupies an equal space is at rest, and 
    if that which is in locomotion is always occupying such a space 
    at any moment, the flying arrow is therefore motionless."
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Creator: Gerald D. Thurman [gthurman@gmail.com]
Created: 24 January 2007

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