Authors: Robert A. Herrmann
Since 1969 the superstructure has been the usual approach to nonstandard analysis. The method used to measure the strength of a GD-model Divine attribute, which is comparable to a human attribute, is, at least, partially expressible in terms of cardinality. In this paper, it is shown that for a non-atomic approach to superstructure construction such a cardinality does not have a set-theoretic upper bound when restricted to class theory. A one-step rational extension of class theory does yield an ultra-infinite bound. However, this is not the generic infinite, a concept that cannot be fully characterized.
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