From sense
"I wish I were the night so that I might watch your sleep with a thousand eyes"
to reference
(obrigado à João pelo JLB)
………………
Gödel's theorem may seem, at first sight,
rather nondescript,
but please keep in mind:
Gödel is right.
"In any sufficiently rich system
statements are possible
which can neither be proved
nor refuted within the system,
unless the system itself
is inconsistent."
You can describe your own language
in your own language:
but not quite.
You can investigate your own brain
by means of your own brain:
but not quite.
Etc.
In order to be vindicated
any conceivable system
must transcend, and that means,
destroy itself.
"Sufficiently rich" or not:
Freedom from contradiction
is either a deficiency symptom,
or it amounts to a contradiction.
(Certainty = Inconsistency.)
……………….
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