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W1
round
red
W2
round
red
whirling
x1
+
-
y1
+
-
+
x2
+
+
y2
+
+
-

Figure 8.12
same properties are considered plus an additional one, to be a whirling entity.
We can say that in W3 it is possible to manipulate the world structure in viduals of W1 inside the world structure of W2. Individuals x1 and x2 can be evaluated in W2 as shown in Figure 8.13,
(W2® W1)
round
red
whirling
y3
+
-
-
y4
+
+
-

Figure 8.13
and, from this point of view, y4 can be said to be structurally identical with y2, while y3 appears as a brand new individual.
The opposite is not possible since the world structure of W1 cannot score the presence or the absence of a property such as whirling. Therefore W2 R W1, while the symmetrical relation does not hold.
Intuitively, this is the situation outlined by Abbott in Flatland, where a being living in a tridimensional world visits a bidimensional one and can conceive of the individuals living there, and manages to describe them, while the individuals of the bidimensional world cannot conceive of the visitor.
Now consider a third case (see Figure 8.14), in which there is also a third world W3 where the property of whirling is essential for every individual and where no individual can both exist and be nonwhirling at the same time (as seems to be the case of the planets of our solar system). We can say that in W3 it is possible to manipulate the world structure in two ways:
(i) as far as W1 is concerned, it is possible to proceed as in the previous case (W2 R W1) except that the produced individuals can be considered as supernumeraries;
(ii) as far as W2 is concerned, y1 in W2 can be considered a variant of k1 in W3 simply by recognizing its property of whirling as essential (at least as far as it does not stop); y2 in W2 can be considered a supernumerary.

 
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