Hi everybody, I have a question for you: What is Löbianity? What is its relation to self-consciousness?
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? Greets, Peter -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
