Hinton - The Fourth Dimension.pdf

152
THE FOURTH DIMENSION
come in in place of them
and also last a minute.
In speaking of them he
would have to denote
what part of the respective
cube each square represents.
Thus, at the beginning
he would have null
cube orange face, and after
the motion had begun he
would have null cube ochre
Fig. 92..
section. As he could get
the same coloured section whichever way the cube passed
through, it would be best for him to call this section white
section, meaning that it is transverse to the white axis.
These colour-names, of course, are merely used as names,
and do not imply in this case that the object is really
coloured. Finally, after a minute, as the first cube was
passing beyond his plane he would have null cube orange
face again.
The same names will hold for each of the other cubes,
describing what face or section of them the plane being
has before him; and the second wall of cubes will come
on, continue, and go out in the same manner. In the
area he thus has he can represent any movement which
we carry out in the cubes, as long as it does not involve
a motion in the direction of the white axis. The relation
of parts that succeed one another in the direction of the
white axis is realised by him as a consecution of states.
Now, his means of developing his space apprehension
lies in this, that that which is represented as a time
sequence in one position of the cubes, can become a real
co-existence, if something that has a real co-existence
becomes a time sequence.
We must suppose the cubes turned round each of the