RE: Was pi invented or discovered?
March 15, 2013 at 10:01 am
(This post was last modified: March 15, 2013 at 10:41 am by Anomalocaris.)
The acceleration of gravity on a planet of arbitrarily imagined mass and density could also exist nowhere in the real world. No real acceleration of gravity would turn out exactly like those of the imaginary planet. So what?
The key is whether predicted for the perfect circle or the fictional planet, or measured around a pizza on on earth, they reflect the case specific menifestations of the same underlying properties.
So caprice of the inventor has room to make pi a different number?
No. Perfect circle, like the imaginary planet, is invented. Pi, like the acceleration of gravity on the imaginary planet, is the predicted case specific menifestation of a discovered property in a invented case.
The key is whether predicted for the perfect circle or the fictional planet, or measured around a pizza on on earth, they reflect the case specific menifestations of the same underlying properties.
(March 15, 2013 at 9:49 am)Tiberius Wrote: out to not be Pi.
Pi only exists in mathematics, as an invented number for the ratio of a perfect circle.
So caprice of the inventor has room to make pi a different number?
No. Perfect circle, like the imaginary planet, is invented. Pi, like the acceleration of gravity on the imaginary planet, is the predicted case specific menifestation of a discovered property in a invented case.
