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Page 240
Among the properties we consider the following: to be a male (M), to be a female (F), to be a playwright (P), and a relational property rMm that means that Raoul and Marguerite stand in a symmetrical relation of marriage. Note that a 'similar' property is formally scored also among the properties of W0, since it is fully acceptable there that an individual be in converse relation with another.
S-necessary properties are represented in WN between square brackets.
The world structure of W0, this not being a fabula, ignores S-necessary properties. W0® WN can consider properties which are S-necessary in WN as normal relations (in this case a relation of converseness between husband and wife) that can be scored either as essential or as accidental.
In W0 there are two individuals that are accepted in WN as variants (as a matter of fact, because of the elementarity of the world structures, they are identical). From W0 is constructible a WN which contains them.
In W0, r and m are not considered. They exist in WN as supernumeraries in respect to W0. It is not impossible from W0 to shift to WN so as to set up WN as a possible world, accessible from W0, where these supernumeraries have as essential the property of being reciprocally related. Notice that the relation of S-necessity holds as such only within the fictional world. From W0 such a relation can be constructed at most as an essential property. I mean that in psychological terms an inhabitant of W0 can conceive of a possible course of events in which in Paris there lived two persons to be essentially defined as linked by a kinship relationship. No more and no less.
Therefore W0 R WN. From the reference world we can produce the narrative one, and the narrative world is accessible to the world of reference.
However, this relation is not symmetrical, since, in the world structure of WN, the rule holds that an individual cannot be identified as such without its S-necessary property. The category of S-necessary property does not make sense in worlds different from the fictional one. Therefore to produce from WN another world lacking this formative rule is like trying to produce from our world a world in which 17 is not a prime number or in which a is not a (see 8.6.5). In other words, we must deal
W0
M
F
P
xRy
WN
M
F
P
rMm
W0® WN
M
F
P
rMm
p
(+)
(-)
(+)
0
p
(+)
(-)
(+)
0
p
(+)
(-)
(+)
0
t
(-)
(-)
(-)
0
t
(-)
(-)
(-)
0
t
(-)
(-)
(+)
0
r
(+)
(-)
(-)
[+]
r
(+)
(-)
-
(+)
m
(-)
(+)
(-)
[+]
m
(-)
(+)
(-)
(+)

Figure 8.15

 
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