catflap.org Online Dictionary Query

  intuitionistic logic
       
           Brouwer's foundational theory of
          mathematics which says that you should not count a proof of
          (There exists x such that P(x)) valid unless the proof
          actually gives a method of constructing such an x.  Similarly,
          a proof of (A or B) is valid only if it actually exhibits
          either a proof of A or a proof of B.
       
          In intuitionism, you cannot in general assert the statement (A
          or not-A) (the principle of the excluded middle); (A or
          not-A) is not proven unless you have a proof of A or a proof
          of not-A.  If A happens to be undecidable in your system
          (some things certainly will be), then there will be no proof
          of (A or not-A).
       
          This is pretty annoying; some kinds of perfectly
          healthy-looking examples of proof by contradiction just stop
          working.  Of course, excluded middle is a theorem of
          classical logic (i.e. non-intuitionistic logic).
       
          History
         
       http://britanica.com/bcom/eb/article/3/0,5716,118173+14+109826,00.html)" rel="nofollow">(http://britanica.com/bcom/eb/article/3/0,5716,118173+14+109826,00.html).
       
          (2001-03-18)
       
       

  intuitionistic logic
     n.
     (lb en mathematics logic) A type of logic which rejects the axiom law
  of excluded middle or, equivalently, the law of double negation and/or
  Peirce's law. It is the foundation of intuitionism.

  intuitionistic logic
     n.
     (lb en mathematics logic) A type of logic which rejects the axiom law
  of excluded middle or, equivalently, the law of double negation and/or
  Peirce's law. It is the foundation of intuitionism.

  intuitionistic logic
     n.
     (lb en mathematics logic) A type of logic which rejects the axiom law
  of excluded middle or, equivalently, the law of double negation and/or
  Peirce's law. It is the foundation of intuitionism.

  intuitionistic logic
     n.
     (lb en mathematics logic) A type of logic which rejects the axiom law
  of excluded middle or, equivalently, the law of double negation and/or
  Peirce's law. It is the foundation of intuitionism.

  intuitionistic logic /ɪntjuːˈɪʃənˈɪstɪk lˈɒdʒɪk/ 
  intuitionistinen logiikka
  a type of logic which rejects the axiom "law of excluded middle"