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Thank you Gerhard, Carl, and Jason for providing me with some things to think about. (And Francois Dorais also for the joke!) My initial studies in this area were interesting, but I found it hard to see the bigger picture, as nobody at my institution is active in this subject and(again, I hope that this does not come across as too naive) it seems that this area is very "spread out" for its size(in terms of researchers, institutions, places to get an overview, etc), even compared to areas like, say, model theory. I will wait to see if any more answers come in, but thanks again.