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If you know what Turing complete means, and what a universal Turing machine is and can do, and that we are examples of such, then you must realise that’s not tr
by simonh 4y ago
If you know what Turing complete means, and what a universal Turing machine is and can do, and that we are examples of such, then you must realise that’s not true. Provably. Unless you’re a dualist of some sort and believe thinking is some sort of spiritual woo, in which case I can’t help you. But I can imagine what that’s like (see what I did there?).
Seriously, there are sensory experiences I can’t have, but in principle no thoughts that are intractable to analysis and understanding given enough information.
- shkkmo 4y agoOur brains are technically only "turing complete" if you ignore their finite memory. (Edit: which is what is commonly meant by turing complete.) It seems pretty obvious that there are thoughts that are too big to fit inside our heads.
- simonh 4y agoAgain this is descending into nitpicking at the extremes. PG is not saying everything we understand will be in common with aliens, or that our cognitive match with them will be 1 to 1, just that there is likely to be overlap. That given the universality of human cognition, there is likely to be thoughts we can mutually appreciate. I am not claiming that human brains are capable of all thought possible to aliens, only that there will be common ground. That’s all. It’s a very minimal claim. Pointing out possible edge cases is a non sequitur. Of course there will be things we don’t have in common. Yes, we know that. The fact we’re explicitly looking at common ground from first principles implicitly acknowledges there will be ground not in common. That’s given.
- shkkmo 4y agoYou said that JackFr was provably incorrect. I'm not pointing out an edge case but pointing out the massive hole in your argument. As a limited computing system, our brain has been optimized to process the world in specific ways using various heuristics and compression techniques. Alien brains would presumably be optimized in different ways. Given our limited capabilities, it seems quite possible that translating any concepts between the two systems would be unfeasible for either our brain or the alien one. I would like to think that there would common ground but that isn't something that can be known a priori, and is thus not presently "proveable". Edit: We do have some fairly "alien" brains here on earth but we haven't had much luck teaching any mollusks any of our mathematical truths.