¶ Sphere
Index Entry
Now a sphere is defined by the Greeks as a surface equidistant in all directions from a point. No man has ever witnessed an impervious surface so we can’t say that any more. The definition by the Greeks of a surface equidistant in all directions means it could have no holes in it because then the radius would change. This would be the first definition of antientropy that you would successfully subdivide an inwardness from an outwardness-- subdivide the Universe in two parts and have no traffic" between them. “But my definition of a sphere-- really like a Hilbert point system-- is a plurality of events approximately equidistant in one direction [sic] from one event. This is a very satisfactory one.” It accommodates a "very high frequency of events, but it does change mathematics completely. You will find it affects us.
