Here's another approach. suppose that the circle is on a plane. Naturally we will get a definition of clockwise and anti-clockwise. Then imagine that there is a homeomorphism between the circle and a line. So now take a point on the circle and continuously move clockwise until you return to the...
Hey guys, I have been thinking about the problem of mathematical truths. We simply do not know if the things that mathematics deals with really exist or not, yet people still believe that its statements are true and indubitable. Unfortunately, the only truly well-respected theory of truth in the...
Thanks for the reply. If I understood you correctly, you mean that in order for there to be energy on a sphere, we need to have charges on that sphere otherwise we will have nothing to speak of. I guess there must be some confusion somewhere. What I actually meant by this is that if we consider...
I have been thinking a bit about gravity in the classical Newtonian sense. So we know that the gravitational potential energy is inversely proportial to the distance that an object is from the object it is being attracted to. Thus if we form spheres of equal distance from a certain object we can...