Might pi be rational?

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Thevoiceofreason

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Re: Might pi be rational?
« Reply #30 on: January 11, 2011, 04:35:47 AM »
Its a question between Platonism or not.  If they exist only abstractly, but not really (as perhaps a platonist might hold they exist abstractly and in a more real sense) its different from existing in the physical world or existing only abstractly.

From what I understand, the claim being made that we are discussing is concerning whether irrational numbers exist any less than, for example, integers.

I see. I guess if you assume that every part of the physical world is broken down into discrete packets, then then irrationals could never represent anything, and perfect circles, and the like would not exist

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John Davis

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Re: Might pi be rational?
« Reply #31 on: January 17, 2011, 09:40:53 AM »
The only mathematician who realized that there were no irrational numbers in the real/physical world, and who continuously attacked R. Dedekind and G. Cantor for their mathematical pipe dreams, was Leopold Kronecker.

Kronecker is well known for his remark:-

God created the integers, all else is the work of man.
Irrational numbers are totally man-invented.

Reading this over again, I have to ask you a question.  Are you also a finitist? 
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Thevoiceofreason

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Re: Might pi be rational?
« Reply #32 on: January 17, 2011, 08:45:08 PM »
wait, what do irrational numbers have to do with the stability of orbits.
These things have been simulated on computers and shown to work