Hilbert's Hotel
Diskussionsforum zur Unendlichkeit: Theismus, Atheismus, Primzahlen, Unsterblichkeit, das Universum...
Discussing Infinity:
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Re: Is movement impossible?
[Re: fastlane69]
#154121
09/15/07 20:17
09/15/07 20:17
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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:
.... ...but how long does it take to get to infinity? If you start counting the infinite 1/2 numbers, whether this is time or distance, it will still take you an infinite amount of time. Don't forget that the nature of Zeno's paradox is the disconnect between mathematical models and physical reality.
No sorry, it is not like that You must disconnect between the mathematical models and the physical reality Of course it will take a long time if you try to implement he Zeno's paradox in practice but the Zeno's paradox is a logic paradox and it must be solved in the domain of logic You can not introduce in a logic discussion partical elements which have nothing to do with the logic The Zeno's paradox is nothing else that one version of the ancient greeks' nightmare for the " infinite ", the most famous being the irrational numbers The great Pitagora became almost crazy being not able to explain why a so evident definite entity such as the diagonal of a square can not be measured by an integer number take the number ; square(2) = 1.41421..... This number has an infinite sequence of figures after the decimal point , you will never reach the end of it, nevertheless it is the measure of a well defined segment
This is the "key point" of the Zeno's paradox
The solution has been found two thousand years later thanks to the modern analysis and the theory of numbers
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