Think about the property of being tall. If someone is 5'4" (162.5 cm), they're not tall. If they're 6'8" (203.2 cm), they are tall. What happens in the middl

Think about the property of being tall. If someone is 5'4" (162.5 cm), they're not tall. If they're 6'8" (203.2 cm), they are tall. What happens in the middle? In classical set theory, every person is either tall or not. As a result, there has to be some cutoff below which people aren't tall, and above which they are. But that doesn't match up with the way that we think about tallness. Someone who's 6' (182.9 cm) is kinda tall but not really. Fuzzy logic and set theory is the math that allows you to reason precisely about properties like tallness, where some things have the property and other things don't and still other things kinda have it. Now imagine trying to formulate tallness in the language of probability theory. If you say that a person who's 6' is 50% tall, and I show up with a large group of people of that exact height, then you'd have to claim that half of them are tall and half of them aren't in order for the law of large numbers to hold. Is that really what you want, or even coherent?