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There are several ways in which a statement can be neither true nor false: Indeterminant with an assigned truth value between 0 and 1. Probabilistic, expressing a probability that it might be true. Such statements are common in quantum physics, as exemplified by Schroedinger's cat. Paradoxical, such as "this statement is untrue". Meaningless, ...


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In systems of formal logic, you can go from having two truth values (True or False) to infinitely many truth values. If something is neither True or False, it can be deemed as Indeterminant. One type of infinitely many-valued logic is Fuzzy logic. It is a logic that assigns a value from 0 to 1, where 0 is completely false and 1 is completely true. This logic ...


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