Color incompatibility in Wittgenstein and its relationship with Arithmetic

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.

Necessity and Color Incompatibility

A traditional view is that all necessary truths are analytic. A frequent objection is that certain claims of color incompatibility – e.g., ‘Nothing is both red and green all over’ – are necessarily true but not analytic. I argue that this objection to the traditional view fails because such color incompatibility claims are either analytic or contingent.