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    STUDIA PHILOSOPHIA - Issue no. 1-2 / 2001  

  Abstract:  The paper addresses the problems of incompleteness theorem and their role in devastating our classical modality of thinking and judgement. Godel`s logical turn shows that there are arithmetic truths which cannot be derived from their axioms, even if we supplement the original set of axioms with an infinity of additional axioms. A famous version of the argument from essential incompleteness considers adding a `godelizing operator` to the system. The results suggest impossibility to understand completely, in the literal, metaphorical, formal and computational sense of the word. The soundly search of relations between formal and specular self-reference and self-recognition might connect the formation of a self-concept with (on) the capacity for self-recognition  
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