Once again it doesn't matter what the golden mean is, only that by nominating one thing as undefinable and saying that everything in existence is a theorem of that system because it was created by that system we seem to have found a way around Godel's theorem. MO is an anomaly that occurs in the otherwise productive procedural level. When people affected by this attempt to integrate a new knowledge packet into their map they define it only in terms of the knowledge packet level. This creates circularity. Also, the language level can be used to answer the question of where language comes from and if it necessary to produce conscious thought.
Language is the basic feedback loop that defines consciousness.
In fact anything located in the language level is created directly from the golden mean. Some people when learning a foreign language are merely building a translator in the knowledge packet level. To really assimilate the language it must be built from the golden mean itself which takes a different method of teaching then is currently used. Hackers can do the mental feets that they do because have most of their information located in the language level rather than in the the knowledge packet level. They have a great ability to spot formal systems which allows them to turn almost anything into a language and spot deep structure.