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Re: "Xeno's Paradox": revisited
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RascalPuff
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Re: "Xeno's Paradox": revisited - 01-16-2008, 03:51 AM

Quote:
Originally Posted by Graybeard View Post
Rascal .... I'm sure we've had this argument many times before ?

Its nothing to do with time.

Given the Turtle has a 10 metre start and that he moves 1 metre to Achilles 10 metres, then

Code:
First move                   =     1 metre
                                                                    Cumulative
Second move               =     0.5               =     0.5 
Third move                  =     0.25             =     0.75
Fourth move                =     0.125           =     0.875
Fifth move                   =     0.0625         =     0.9375
Sixth move                  =     0.03125        =     0.96875
Seventh                      =     0.015625      =     0.984375
 
Ad infinitum 
Can't you see that ALL moves after the first move, will in total NEVER add up to the length of the first move. They will get closer and closer to 1 metre but never reach it.

The Turtle can NEVER EVER move more than 2 metres !!

This has nothing to do with time. The Greeks had trouble with Division, they thought that if you kept adding to the pile, then the pile would get bigger, but it doesn't, it reaches a point where continual additions make no difference to the total. The turtle stops moving before he reaches 12 metres !!

How many times must you revisit it. Are you greek by any chance .... LOL ... (just joking, just joking ol buddy)

cool bananas ... greg
Dear Greg:

All I can say about this at this time is, I have a math block (induced by post traumatic stress disorder). I'll continue to work on it, through the help of comrades like yourself, and Nobody, Michael and others. Please excuse my ignorance. Thanking all of you for your responses, consideration and patience.

Best regards,
- RP


(George Berkeley, 1710) ... lay the beginning in a distinct explication of what is meant by thing, reality, existence: for in vain shall we dispute concerning the real existence of things, or pretend to any knowledge thereof, so long as we have not fixed the meaning of those words.

"All things come out of the one and the one out of all things." - Heraclitus
"Reality is an illusion - albeit a persistent one." - Einstein
"Particles give me a headache." - Ibid
  
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