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Re: Is movement impossible?
[Re: fastlane69]
#154139
09/28/07 18:17
09/28/07 18:17
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Joined: Oct 2006
Posts: 1,245
AlbertoT
Serious User
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Serious User
Joined: Oct 2006
Posts: 1,245
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Quote:
It's math. It doesn't have to make sense, it just has to be mathematically correct. 
The term "true" in math stands for "consistent"
You start from some some definitions and you draw some conclusions
The conclusions must be logic but the definitions are neither true nor false
They are definitions, that's it
In case of Zeno's paradox , it is implicit that ZENO speaks of " mathematical points" i.e of a dimensionless entitities
In this case only ,he can exactly define the event
the arrow reaches the target,being equivalent to
the point "A" of the arrow and the point "B" of the target overlaps
If for point you mean a "physical point" i.e something very small but with dimensions than the Zeno's paradox does not make any sense
Obviously the "mathemtical point" does not exist , it is just an abstraction
However I dont agree, if I have correctly understood your opinion, that Zeno's paradox leads to a endless discussion
The Zeno's paradox has been solved about 400 years ago and all the scientific comunity agrees with the solution
Last edited by AlbertoT; 09/28/07 19:42.
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Re: Is movement impossible?
[Re: AlbertoT]
#154140
09/29/07 23:19
09/29/07 23:19
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Joined: Mar 2003
Posts: 5,377
USofA
fastlane69
Senior Expert
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Senior Expert
Joined: Mar 2003
Posts: 5,377
USofA
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Quote:
that Zeno's paradox leads to a endless discussion
If this was directed at me, I'm saying quite the opposite: that Zeno's is a moot point to discuss because it carries no phyiscal significance, carries theoretical mathematical significance, and is only a paradox when viewed purely as a logical linguistic philosophy. In other words like you said, it's been "solved", but with the solution depending on how you choose to view the problem.
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