Everything is a matter of degree: A new theoretical justification of Zadeh’s principle

One of the main ideas behind fuzzy logic and its applications is that everything is a matter of degree. We are often accustomed to think that every statement about a physical world is true or false - that an object is either a particle or a wave, that a person is either young or not, either well or ill - but in reality, we sometimes encounter intermediate situations. In this paper, we show that the existence of such intermediate situations can be theoretically explained - by a natural assumption that the real world is cognizable.