Fuzzy Thinking: The New Science of Fuzzy Logic Review

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Fuzzy Thinking: The New Science of Fuzzy Logic ReviewBuddhist math? C'mon.
First, let me say that fuzzy logic and fuzzy arithmetic are great tools. They're valued parts of the 'soft logic' kit that includes probability, interval arithmetic, Bayesian and Markov networks, and lots of other good stuff. Fuzziness involves many of the formal techniques used in probability and elsewhere, and gives a useful, alternative view of the systems it addresses.
The basic fuzzy idea is that most descriptions involve shades of gray, that few systems really match the black/white, on/off, either/or duality of standard formal logic. That's fine, I can get along with that quite well.
My problem, though, is that Kosko presents the fuzzy world-view vs. the traditional or "scientific" in exactly the black and white terms that he rejects. He also argues that fuzziness describes the world more effectively than "scientific" terms, that the rules of arithmetic, probability, and calculus are just games. They are played for their internal consistency, not because differentiation or factorials occur in nature.
That's true, and as a heavy math user I know enough to distinguish my models from reality. Two facts remain, though. First, the models very often do describe reality in ways that can be checked easily enough: the bridge doesn't fall down and the TV receives its signal. Both happen because the bad old exact arithmetic has some kind of correspondence (no, I don't know what) to the real world, giving real ability to predict real results. Second, fuzzy logic and fuzzy arithmetic are themselves mathematical formalisms, games like all the others. Once you get past the gee-whiz stage, there is mathematical content as rigorous as in any other field of study. It's not either/or, it's very often a different way to interpret the same self-consistent games people have played for years. It adds interesting rules to the game.
The great thing is that you really can use the new interpretations and tools along with the old ones. Fuzziness doesn't demolish the old structures, it bolsters them and adds capacity.
And you can get all these benefits without shrink-wrapped, bite-sized pieces of Eastern philosophy.
//wiredweirdFuzzy Thinking: The New Science of Fuzzy Logic Overview

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