Consider again the crude and metaphorical representation of change as resulting from the passage across our three space of a congeries of four space solids which supposes that the distribution of matter at any moment is simply a very thin cross section of this congeries.
If this were the case it is evident that to anyone who had the power of moving freely in four dimensions it would be possible to move up the mass and see what some cross section was like which had not yet arrived at our space.
This is desperately crude but it gives the general idea.
In order to grasp it better we will transpose it into terms of two-and three space at the same time altering it slightly. Suppose that a two space world consists of a colossal soap film. Imagine a thin thread passing through the film and stretched between two points, one above the film and one below. If these two points move perpendicularly to the film the thread will move accordingly. The point where the thread cuts the film will remain stationary if the thread was perpendicular to the latter to start with, but will move if the thread was originally slanting.
To a two space being inhabiting the film, all that will be visible of the thread will be a minute circle, an atom of two-space matter let us say.
Now let us imagine an enormous number of such threads, sufficient to produce all the atoms necessary to make up a complete two space universe. Suppose also that these are twisted and intertwined in the most complicated possible manner. Then as they pass across the soap film they will give rise to the most complex changes in the two space world.
A three space being, however, could see the filamentary structure as a whole and would not be limited to the particular section which happened to be crossing the film at any given moment.
I must again insist that I do not for a moment regard this as being anything like a true picture of what actually occurs. The point I wish to make is merely that if, as seems to be the case, three space change can be represented spatially by the use of four space ideas, then it is not utterly inconceivable that a consciousness free to move in four space and independent of three space limitations, should be able in some obscure way to foresee coming changes.