I have a question for you: What is Löbianity? What is its relation to
I know the work of Löb has to do with arithmetical self-reference (as it
figures in Gödel's proof for incompleteness).
Obviously, that self-reference is the link with self-consciousness... But
how do you see that link in particular? Can we see Löbian self-reference as
happening within a universal turing machine? And would it then prove its
own incompleteness, its own inability to prove all of mathematics?
And can you recomment me some entry-level books / papers on Löb's theorem
and his ideas about self-reference in general?
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