Summary

Fuzzy mathematics is mathematics of vagueness. The core of fuzzy mathematics is the idea that objects have a property to some degree. The Sorites Paradox, which was introduced by Eubulides of Miletus, is a typical example of an argument that demonstrates what fuzzy boundaries are. A predicate is vague just in case it can be employed to generate a sorites argument. Imprecision is a notion that is closer to vagueness than ambiguity. Typically, this term is employed when talking about things whose boundaries are not precise. One more term that is remotely related to vagueness is uncertainty. In quantum mechanics, the uncertainty principle is, roughly, about our inability to accurately measure at the same time the location and the momentum of a subatomic particle. Vagueness should be used in order to provide alternative interpretations of quantum phenomena and all sciences that are affected by them.

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