Abstract: Indicates very briefly a variety of further strategies, beginning with modifications and combinations of the three that were discussed in the preceding three chapters. The more exotic strategies are those based on so-called substitutional quantifiers, or predicate-functor logic, and on dialectical logic, which admits inconsistent objects and incomplete objects. Argues that these exotic strategies are philosophically problematic in a way the strategies considered earlier were not.

Keywords: dialectical logic, incomplete objects, inconsistent objects, predicate-functor logic, substitutional quantifiers,