by RQ » Mon Feb 16, 2004 7:20 am
Yes, thought experiments are the basis of most fundamental ideas. True we cannot interact with different dimensions, but 2D people can still have sound or light, or taste. In fact I think that if we were 2D people we would have been almost sure there couldn't have been such a thing as the 3rd dimension. First of all there are no polygons in the 1st dimension, but there are in the 2nd dimension, and polyhedra in the 3rd and polychlora in the 4th. A proof we might have all accepted were we 2d that 1D and 0D couldn't exist, or higher dimensions, is that there are indeed polygons in 2D and none in 1D (except if you accept a triangle as a line adding up to 180 degrees).