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Godel and Fuzzy Sets

  1. Aug 24, 2010 #1
    Hello all

    Does Godel's incompleteness theorem still hold true for fuzzy sets?

    My feeling is that it doesn't since the http://en.wikipedia.org/wiki/Law_of_excluded_middle" [Broken]no longer applies.

    Is this reasoning correct?
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Aug 24, 2010 #2


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    When formalized, fuzzy set theory is a formal theories written in classical first-order Boolean logic.

    That the arithmetic of fuzzy sets doesn't obey the law of the excluded middle has no bearing on the fact that the classical logic we use to reason about them does.
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