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Topic: irrational #s
Replies: 3   Last Post: Jan 29, 2008 1:46 PM

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Don Cook

Posts: 101
Registered: 12/3/04
Re: irrational #s
Posted: Jan 29, 2008 1:19 PM
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On Jan 28, 2008, at 2:34 PM, Lee D Perlman wrote:

Jon Awbry wrote:

One reason why some Greeks had problems accepting irrationals
is that the existence of intervals in irrational ratios to each
other defeated the assurance that all cosmic cycles have a common
unit and thus that all configurations of the cosmos recur eternally.


Interesting. Can you provide a reference in antiquity for such
thoughts?

thanks,

Lee Perlman

Dear Jon,
I find this difficult to believe. The Greeks lasted for hundreds of
years. What period are we talking about? There were various models of
the cosmos in Greek science. Even after Ptolemy, they knew the
difficulty of predicting the positions of the planets. They did
believe that circular motion was eternal. Thus some could not accept
Ptolemy's equant. Please take the time to find a reference. I am
interested in this problem.
Peace, Don



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