> I remember reading about fuzzy logic in a discrete math book. It was exactly the same as basic probability theory. When is a pile of sand a pile of sand? Whe

> I remember reading about fuzzy logic in a discrete math book. It was exactly the same as basic probability theory. When is a pile of sand a pile of sand? When I remove a grain of sand, is it still a pile of sand? If I remove all the grains, is it still a pile of sand? If I pour millions of tonnes of sand onto it, is it still a pile of sand, or has it become something else? Probability does not really answer these questions. It might be counterargued that I can still say the 'probability that it is a pile of sand' and then we're back to probability theory. Except we're not: I've just buried the problem a bit. Saying 'probability that it is a pile of sand' still requires a function that can distinguish whether it is a pile of sand in order to assess the probability. I am given to understand that probability and fuzzy sets are part of a more general mathematics of uncertainty and that their relation to each other is hotly debated.