Frosini, P. (2009) Does intelligence imply contradiction? Cognitive Systems 
Research, 10, 4, 297-315. 

http://www.sciencedirect.com/science?_ob=GatewayURL&_method=citationSearch&_urlVersion=4&_origin=SDVIALERTASCII&_version=1&_uoikey=B6W6C-4TVJ3RP-1&md5=c92a34785adbc66b1bab82dc64a9401d

 Abstract

Contradiction is often seen as a defect of intelligent systems and a dangerous 
limitation on efficiency. In this paper we raise the question of whether, on 
the contrary, it could be considered a key tool in increasing intelligence in 
biological structures. A possible way of answering this question in a 
mathematical context is shown, formulating a proposition that suggests a link 
between intelligence and contradiction.

 A concrete approach is presented in the well-defined setting of cellular 
automata. Here we define the models of ''observer", ''entity", ''environment", 
''intelligence," and ''contradiction". These definitions, which roughly 
correspond to the common meaning of these words, allow us to deduce a simple 
but strong result about these concepts in an unbiased, mathematical manner. 
Evidence for a real-world counterpart to the demonstrated formal link between 
intelligence and contradiction is provided by three computational experiments.

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