Fundamental Nomic Vagueness

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, suggest regarded world. For a case study, we turn Past Hypothesis, postulate (partially) explains direction time our We have reasons take it seriously candidate law nature. Yet is vague: admits (nomologically) possible worlds. An exact version would lead an untraceable arbitrariness absent any laws. However, dilemma between dissolved new quantum time’s arrow.