ABSTRACT
Quite apart from the metaphysical argument from the need for continuity as a basis for re-identification, it would be reasonable to demand that all the dimensions of space are pari passu, that is, that they all have the same order-type, namely θ. We are appealing here to a vague principle that space should be as featureless as possible, just as we earlier appealed to the principle that time should be as featureless as possible. Time was featureless in two ways. There was first a principle of date-indifference. And secondly there was the different principle of indifference as regards intervals in that no natural unit of time, a cosmic year, is given. With space, however, there are further possibilities of denial. In particular, we assert a principle of direction-indifference. There are no preferred directions; any more than there are preferred positions or preferred sizes.
