Den torsdagen den 1:e augusti 2013 kl. 19:59:48 UTC+2 skrev Peter Percival: > email@example.com wrote: > > > > > > > > The thing is that i can express Pi as an exact fractional ratio of the perimeter of a polygon, without using trigonometry just continued fractions. > > > > > > And that is both rational and a fact, you can wave your hands shouting that is not a circle as much you want. > > > > It's not pi either. Pi is circumference/diameter *of a circle*. What > > you are doing with polygonal approximations to a circle will only yield > > approximations to pi. > > > > -- > > Nam Nguyen in sci.logic in the thread 'Q on incompleteness proof' > > on 16/07/2013 at 02:16: "there can be such a group where informally > > it's impossible to know the truth value of the abelian expression > > Axy[x + y = y + x]".
A polygon with infinite number of vertices is a circle. And no polygons can have infinitly number of vertices, go figure.