Abstract

The Reply to Dr. Rolfs essay makes the following main points: (1) The logic of inexactness has the same syntax as Kleene's three-valued logic. Its semantics is different in that the third truth-value can by choice be correctly turned into either truth or falsehood. (2) The definition of resemblance classes includes, but is not exhausted by, ostensive rules. (3) The application of classical mathematics to sense-experience consists in the limited identification of non-isomorphic structures. (4) There are exact perceptual and vague mathematical concepts. (5) The distinction between my categorial framework, a categorial framework and the true categorial framework, if any, is neither relativistic nor absolutistic.