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well i was wondering if, there s a way in which one could compare these two theories on the ground that which one will provide more accurate answers to a given problem. Fuzzy logic always focuses on analysing between 0 and 1 and logic only dolls down to 0 and 1 , so does that imply that fuzzy logic provides us with more insight into a given problem or creates more parameters than necessary and compounds the problem ?

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    If you want to extend your logic, simply read Jech's chapter about Forcing. In specifically the boolean valued model. Instead of using Just 0-1 you use a complete boolean algebra, which can be vastly richer than just $[0,1]$.2010-11-27

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