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wedrifid comments on Decision Theories, Part 3.75: Hang On, I Think This Works After All - Less Wrong
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Proof that a Löbian cycle works out (hat tip, Eliezer and co.):
|- □A -> B
|- □B -> A
then
|- □(□A->B)
|- □□A->□B
|- □□A->A
|- □(□□A->A)
|- □□□A->□A
|- □A->□□A
|- □□□A->□□A
(apply Löb)
|- □□A
|- A
Am I supposed to be seeing lots of boxes here?
For once in Unicode's sad history, yes.
Yeah, it's the syntax "□A" for "there is a Gödel-numbered proof of A", and "|-" for "the following is provable".
Or is your browser showing a lot of junk instead of things that cash out to "it is provable that (a Gödel-numbered proof of A) implies B"?
Assuming the only operators you used were <box>, "|-" and "->" it all came through.