By Agustín Rayo
Este libro reune ensayos de los más grandes especialistas en el tema de los angeles 'cuantificación common' abordado desde todas sus dimensiones. Ellos no sólo se limitan a hablar sobre el tema sino que después del análisis que realizan, presentan avesadas tesis de cara a los problemas que se sucitan.
Lo recomiendo, pues, creo que si todavía no lo es, en el futuro se convertirá en un clásico.
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Is an enumeration of all the objects in the domain; and when the domain is extendible, we will want ϕ to exclude any such condition. Thus we must already presuppose whether or not the domain is extendible in determining what the antecedent condition ϕ should be (and nor are things better with metaphysical necessity, since the condition may then hold of necessity whether we want it to or not). ¹¹ The issue is discussed in Fine (1990). 4 33 P O S T U L AT I O N A L P O S S I B I L I T Y We have seen that the postulational modalities are not to be understood as, or in terms of, the metaphysical or logical modalities.
There seems to be a well-defined issue out there in logical space. But the universalist can only articulate his position on the issue by saying something too strong to be true, while the limitavist can only articulate his position by saying something too weak to be of interest. One gets at his position from above, as it were, the other from below. But what we want to be able to do is to get at the precise position to which each is unsuccessfully attempting to approximate. Some philosophers have suggested that we get round this difficulty by adopting a schematic approach.
Suppose, for example, that ‘ ’ is understood as metaphysical necessity. As limitavists, we would like to say that the domain of pure sets is extendible. This would mean, under the present proposal, that it is a metaphysical possibility that some pure set is not actual. But necessarily, if a pure set exists, then it exists of necessity; and so it is not possible that some pure set is not actual. Thus we fail to get a case of being extendible that we want. We also get cases of being extendible that we do not want.
Absolute Generality by Agustín Rayo