This is similar to my standing pencil paradox. It appears that I cannot post pictures, so I will explain this differently. I will present a two-dimensional version of this paradox. Make a graph of the function y = 1 (a horizontal line with a y-intercept of 1). Then graph the function y = 1 + ln(1 - |1/x|) on the same coordinate grid (we will call this the ground). Got that? Now, imagine the line y = 1 as an infinitely large glass sheet. The glass sheet is hovering above the ground 1 + ln(1 - |1/x|). Why is it hovering above? The glass sheet does not actually touch the ground that it is above. The glass sheet cannot simply sit on top of the ground. If the sheet is lowered even a little bit, it will pass through the surface it is on, because the surface gets arbitrarily close to the glass sheet. Thus, the glass sheet must hover a tiny bit above. What is making it hover? Clearly the ground is keeping the sheet from being lowered, but it isn't touching the sheet. Does mathematics require an invisible force from the ground to make sure the glass sheet hovers above? If you want a three dimensional version of this, the functions z = 1 and z = 1 + ln(1 - |1/(x^2 + y^2)|) should work, but I haven't tested it yet. It might also make the paradox easier to understand.