Is the Incompleteness Theorem a Limitation of Human Consciousness?

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One of Godels Incompleteness Theorems says that a system cannot demonstrate its own consistency. This made me question human consciousness. We can say we are real, so does that make us incomplete?
 
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The incompleteness theorem is a technical result with certain technical conditions and technical conclusions. It is not at all clear that those conditions are met in the real world. And I don't know what "we are incomplete" even means in this case.
 
micromass said:
And I don't know what "we are incomplete" even means in this case.
Honestly, I don't know either lol.
 
The incompleteness theorem applies to any axiomatic logic system that is capable of doing arithmetic. So it definitely applies to the real world. Interpreting it in the real world is difficult.
 
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Thread 'Detail of Diagonalization Lemma'
The following is more or less taken from page 6 of C. Smorynski's "Self-Reference and Modal Logic". (Springer, 1985) (I couldn't get raised brackets to indicate codification (Gödel numbering), so I use a box. The overline is assigning a name. The detail I would like clarification on is in the second step in the last line, where we have an m-overlined, and we substitute the expression for m. Are we saying that the name of a coded term is the same as the coded term? Thanks in advance.
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