Color incompatibility in Wittgenstein and its relationship with Arithmetic

Abstract

After Tractatus Logico-Philosophicus, Wittgenstein realized that elementary propositions may logically conflict with each other, due to the fact that the most elementary measurements may contradict each other. This led to the view that logic consists of various calculi. A calculus consists of measurement scales, each scale being a rule for the application of numbers. These scales determine logical relationships between elementary propositions by reason of arithmetical relations. Attempts to reject Wittgenstein's change in viewpoint, which ignore the relevance of measurement and arithmetic, are remiss. In this light, I discuss Sarah Moss’s criticism of intermediate Wittgenstein.