somewhat like Henkin's nonstandard interpretation of higher-order
logics, while the right semantics [or logical modalities is an
analogue to the standard of type theory in Henkin's sense.
interpretation Another possibility would be to follow W.V. Quine's
advice to give up logi- cal modalities as being beyond repair. Or
we could also try to develop a logic of conceptual possibility,
restricting the range of our "possible worlds" to those compatible
with the transcendental presuppositions of our own conceptual sys-
tem. This looks in fact like one of the most interesting possible
theories I have dreamt of developing but undoubtedly never will.
Its kinship with Kant's way of thinking should be obvious. Besides
putting the entire enterprise of possible-worlds semantics into a
perspective, we can also see that the actual history of
possible-worlds seman- tics is more complicated than it might first
appear to be. For the standard in- terpretation of modal logics has
reared its beautiful head repeatedly in the writings of Stig
Kanger, Richard Montague the pre-Montague-semantics theorist, and
Nino Cocchiarella.
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