If there are fundamental laws of nature, can they fail to be exact? In this paper, I consider the possibility that some vague. call phenomenon nomic vagueness. characterize vagueness as existence borderline lawful worlds and presence several other accompanying features. Under certain assumptions, such prevents physical theory from being completely expressible in mathematical language. Moreover,...

Vague or imprecise concepts are fundamental to natural language. Human beings are constantly using imprecise language to communicate each other. We usually say ‘John is tall and strong’ but not ‘John is exactly 1.85 meters in height and he can lift 100kg weights’. Humans have a remarkable capability to perform a wide variety of physical and mental tasks without any measurements. This capability...

A number of arguments purport to show that vague properties determine sharp boundaries at higher orders. That is, although we may countenance vagueness concerning the location of boundaries for vague predicates, every predicate can instead be associated with precise knowable cut-off points deriving from precision in their higher order boundaries. I argue that this conclusion is indeed paradoxic...

The development of machine learning in particular and artificial intelligent in general has been strongly conditioned by the lack of an appropriated framework to specify and integrate learning processes, data transformation processes and data models. In this work we extend traditional algebraic specification methods to this type of framework. Limits and colimits of diagrams are universal constr...

Spoken language allows for rich communication, but the message spaces used in most cheap talk models and experiments are usually quite restrictive. I show theoretically that introducing vague messages into a strategic information transmission game a la Crawford and Sobel (1982) increases communication between boundedly rational players if some senders are moderately honest. My model treats vagu...