Jude

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seen Dec 8 '11 at 1:32

Dec
7
comment Why model space with real numbers?
@PeterShor: I am actually interested in why we don't just use the the rationals to model things. Although I understand that the Pythagorean theorem demands irrational distances, the fact is that no device ever measures irrational values. Does the completeness of the reals just make computation easier? And is it because the reals is the smallest complete space containing the rationals that the real number system is used so prominently?
Dec
6
awarded  Student
Dec
6
comment Why model space with real numbers?
Unfortunately, I don't understand enough of what you mentioned to argue anything strongly. But presumably the ultimate goal of these theories is to describe phenomena we experience, which we ultimately use real numbers to describe. I'm guessing these coordinates you mentioned are simply mathematical tools.
Dec
6
asked Why model space with real numbers?