Thus, for instance, the one marked by an asterisk can be called 1c, 2b, 3c, because it is opposite to c on 1, to b on 2, to c on 3.

Let us now treat of the states of consciousness corresponding to these positions. Each point represents a composite of posits, and the manifold of consciousness corresponding to them is of a certain complexity.

Suppose now the constituents, the points on the axes, to interchange arbitrarily, any one to become any other, and also the axes 1, 2, and 3, to interchange amongst themselves, any one to become any other, and to be subject to no system or law, that is to say, that order does not exist, and that the points which run abc on each axis may run bac, and so on.

Then any one of the states of consciousness represented by the points in the cluster can become any other. We have a representation of a random consciousness of a certain degree of complexity.

Now let us examine carefully one particular case of arbitrary interchange of the points, a, b, c; as one such case, carefully considered, makes the whole clear.

Fig. 61.

Consider the points named in the figure 1c, 2a, 3c; 1c, 2c, 3a; 1a, 2c, 3c, and examine the effect on them when a change of order takes place. Let us suppose, for instance, that a changes into b, and let us call the two sets of points we get, the one before and the one after, their change conjugates.

Before the change1c 2a 3c1c 2c 3a1a 2c 3c} Conjugates.
After the change1c 2b 3c1c 2c 3b1b 2c 3c

The points surrounded by rings represent the conjugate points.