Concluding Remarks

Abstract

The discussion of the imprecision problem and its formal treatment in a framework of dynamic semantics concludes this book. When I started working on the topic of vagueness around 1980, it was my declared aim to give a comprehensive account of all phenomena in the field of indefiniteness and imprecision, and to provide the ultimate theory of vagueness by extensions of classical logic which leave its substance intact. After having finished the German version of the book, my impression was that I had done most of the job: describing a wide range of ambiguity and vagueness phenomena in Part I, specifying a Precisification Logic in Part II, and giving an analysis of imprecision and an outline of its formal treatment in terms of a dynamic context change semantics in Part III. A smaller part, namely the dynamic semantics for imprecise concepts, would still need more detailed elaboration. Later, I found out that it was in fact a major gap that had been left open. This gap was quite easy to fill on the level of propositional logic, and the results fitted quite nicely into my general view of semantics.