 One consequence of local connectivity is that informationally equivalent states can be stratified according to Grove's idea (Grove 1988) of concentric spheres: the most plausible worlds overall are positioned on the innermost sphere, the next-most-plausible worlds are positioned on the next-most-larger sphere, and so on, all the way out to the positioning of the least-most-plausible worlds on the largest sphere overall. (The number of worlds in our pictures of plausibility models will always be finite—otherwise we could not draw them according to our above-specified conventions—so it is always possible to organize the worlds in our pictures into concentric spheres in this way.) 