All of ScottAaronson's Comments + Replies

(1) Well, that's the funny thing about "should": if copyable entities have a definite goal (e.g., making as many additional copies as possible, taking over the world...), then we simply need to ask what form of reasoning will best help them achieve the goal. If, on the other hand, the question is, "how should a copy reason, so as to accord with its own subjective experience? e.g., all else equal, will it be twice as likely to 'find itself' in a possible world with twice as many copies?" -- then we need some account of the subjective e... (read more)

3Wei Dai
If that's the most you're expecting to show at the end of your research program, then I don't understand why you see it as a "hope" of avoiding the philosophical difficulties you mentioned. (I mean I have no problems with it as a scientific investigation in general, it's just that it doesn't seem to solve the problems that originally motivated you.) For example according to Nick Bostrom's Simulation Argument, most human-like minds in our universe are digital simulations run by posthumans. How do you hope to conclude that the simulations "shouldn't even be included in my reference class" if you don't hope to conclude that you, personally, are not copyable?

(1) I agree that we can easily conceive of a world where most entities able to pass the Turing Test are copyable. I agree that it's extremely interesting to think about what such a world would be like --- and maybe even try to prepare for it if we can. And as for how the copyable entities will reason about their own existence -- well, that might depend on the goals of whoever or whatever set them loose! As a simple example, the Stuxnet worm eventually deleted itself, if it decided it was on a computer that had nothing to do with Iranian centrifuges. We... (read more)

3Wei Dai
I'm not interested so much in how they will reason, but in how they should reason. When you say "we" here, do you literally mean "we" or do you mean "biological humans"? Because I can see how understanding the effect of microscopic noise on the sodium-ion channels might give us insight into whether biological humans are copyable, but it doesn't seem to tell us whether we are biological humans or for example digital simulations (and therefore whether your proposed solution to the philosophical puzzles is of any relevance to us). I thought you were proposing that if your theory is correct then we would eventually be able to determine that by introspection, since you said copyable minds might have no subjective experience or a different kind of subjective experience.

shminux: I don't know any way, even in principle, to prove that uncertainty is Knightian. (How do you decisively refute someone who claims that if only we had a better theory, we could calculate the probabilities?) Though even here, there's an interesting caveat. Namely, I also would have thought as a teenager that there could be no way, even in principle, to "prove" something is "truly probabilistic," rather than deterministic but with complicated hidden parameters. But that was before I learned the Bell/CHSH theorem, which does pr... (read more)

0Shmi
This seems like too strong a statement. After all, if one knows exactly the initial quantum state at the Big Bang, then one also knows all the freebits. I believe that what you are after is not proving that no theory would allow us to calculate the probabilities, but rather that our current best theory does not. In your example, that knowing any amount of macrofacts from the past still would not allow us to calculate the probabilities of some future macrofacts. My question was about a potential experimental signature of such a situation. I suspect that this would be a rather worthwhile question to seriously think about, potentially leading to Bell-style insights. I wonder what could be a simple toy model of a situation like that: a general theory G, a partial theory P and a set of experimental data E from which one can conclude that there is no well calibrated set of probabilities P->p(E) derivable from P only, even though there is one from G, G->p(E). Hmm, I might be letting myself to get carried away a bit.

Alright, consider the following questions:

  • What's it like to be simulated in homomorphically encrypted form (http://en.wikipedia.org/wiki/Homomorphic_encryption)---so that someone who saw the entire computation (including its inputs and outputs), and only lacked a faraway decryption key, would have no clue that the whole thing is isomorphic to what your brain is doing?

  • What's it like to be simulated by a reversible computer, and immediately "uncomputed"? Would you undergo the exact same set of experiences twice? Or once "forwards" a

... (read more)

Well, I can try to make my best guess if forced to -- using symmetry arguments or any other heuristic at my disposal -- but my best guess might differ from some other, equally-rational person's best guess. What I mean by a probabilistic system's being "mechanistic" is that the probabilities can be calculated in such a way that no two rational people will disagree about them (as with, say, a radioactive decay time, or the least significant digit of next week's Dow Jones average).

Also, the point of my "Earth C" example was that symmetry ... (read more)

2Manfred
Hm. So then do we have two types of problems you're claiming Bayesian inference isn't good enough for? One is problems involving freebits, and another is problems involving disagreements about reference classes? The reason I don't think "Earth C" had an impact on the perfect-prediction-except-for-isolated-qubits case is because I'd turned the reference class problem into an information content problem, which actually does have a correct solution. I think this is the normal and acceptable state of affairs for all probability assignments.
0Shmi
How would one test experimentally whether the uncertainty in question is Knightian? Assuming we do our best to make many repeatable runs of some experiment, what set of outcomes would point to the MaxEnt (or any) prior being inadequate?

Well, all I can say is that "getting a deity off the hook" couldn't possibly be further from my motives! :-) For the record, I see no evidence for a deity anything like that of conventional religions, and I see enormous evidence that such a deity would have to be pretty morally monstrous if it did exist. (I like the Yiddish proverb: "If God lived on earth, people would break His windows.") I'm guessing this isn't a hard sell here on LW.

Furthermore, for me the theodicy problem isn't even really connected to free will. As Dostoyevsky ... (read more)

Wei, I completely agree that people should "directly attack the philosophical problems associated with copyable minds," and am glad that you, Eliezer, and others have been trying to do that! I also agree that I can't prove I'm not living in a simulation --- nor that that fact won't be revealed to me tomorrow by a being in the meta-world, who will also introduce me to dozens of copies of myself running in other simulations. But as long as we're trading hypotheticals: what if minds (or rather, the sorts of minds we have) can only be associated wi... (read more)

Wei Dai110

But as long as we're trading hypotheticals: what if minds (or rather, the sorts of minds we have) can only be associated with uncopyable physical substrates?

If that turns out to be the case, I don't think it would much diminish either my intellectual curiosity about how problems associated with mind copying ought to be solved nor the practical importance of solving such problems (to help prepare for a future where most minds will probably be copyable, even if my own isn't).

various things that confused me for years and that I discuss in the essay (Newc

... (read more)
2gjm
What would make them "count as reductios that there's probably nothing that it's like to be that program", and how?

The relevant passage of the essay (p. 65) goes into more detail than the paraphrase you quoted, but the short answer is: how does the superintelligence know it should assume the uniform distribution, and not some other distribution? For example, suppose someone tips it off about a third Earth, C, which is "close enough" to Earths A and B even if not microscopically identical, and in which you made the same decision as in B. Therefore, this person says, the probabilities should be adjusted to (1/3,2/3) rather than (1/2,1/2). It's not obvious wh... (read more)

1Manfred
Symmetry arguments? And since our superintelligence understands the working of your brain minus this qubit, the symmetry isn't between choices A and B, but rather between the points on the Bloch sphere of the qubit. Learning that in some microscopically independent trial a qubit had turned out in such a way that you chose B doesn't give the superintelligence any information about your qubit, and so wouldn't change its prediction. A less-super intelligence, who was uncertain about the function (your brain) that mapped qubits onto decisions, would update in favor of the functions that produced B - the degree to which this mattered would depend on its probability distribution over functions. This still seems weird, though I believe in freebits by your requirement. Why would you want to use Bayesian methods if no guess (in the form of a probability, to be scored according to some rule that rewards good guesses) is better than another on Knightian problems? And if some guess is better than another, why not use the best guess? That's what using probability is all about - if you didn't have incomplete information, you wouldn't need to guess at all.

As a point of information, I too am only interested in predicting macroscopic actions (indeed, only probabilistically), not in what you call "absolute prediction." The worry, of course, is that chaotic amplification of small effects would preclude even "pretty good" prediction.

"Even if we could not, by physical law, possibly know the fact, this still does not equate to the fact having inherent unknowability."

I think the sentence above nicely pinpoints where I part ways from you and Eliezer. To put it bluntly, if a fact is impossible for any physical agent to learn, according to the laws of physics, then that's "inherently unknowable" enough for me! :-) Or to say it even more strongly: I don't actually care much whether someone chooses to regard the unknowability of such a fact as "part of the map"... (read more)

7Sniffnoy
Formatting note: You can quote a paragraph by beginning it with '>'.
-1DSherron
With regard to "inherent randomness" I think we essentially agree. I tend to use the map/territory construct to talk about it, and you don't, but in the end the only thing that matters is what predictions we can make (predictions made correspond to what's in the "map"). The main point there is to avoid the mind-projection fallacy of purporting that concepts which help you think about a thing must necessarily relate to how the thing really is. You appear to not actually be committing any such fallacy, even though it almost sounded like you were due primarily to different uses of terminology. "Can I predict this fact?" is a perfectly legitimate question, so long as you don't accidentally mix up the answer to that question with something about the fact having some mysterious quality. (I know that this sounds like a pointless distinction, because you aren't actually making the error in question. It's not much of a leap to start spouting nonsense, but it's hard to explain why it isn't much of a leap when it's so far from what either of us is actually saying.) I am pretty definitely not curious about the empirical question of how accurately humans can really be predicted, except in some sense that the less predictable we are the less I get the feeling of having free will. I already know with high confidence that my internal narrative is consistent though, so I'm not too concerned about it. The main reasoning behind this is the same as why I feel like the question of free will has already been entirely resolved. From the inside, I feel like I make decisions, and then I carry out those decisions. So long as my internal narrative leading up to a decision matches up with my decision, I feel like I have free will. I don't really see the need for any further explanation of free will, or how it really truly exists outside of simply me feeling like I have it. I feel like I have it, and I know why I feel like I have it, and that's all I need to know. I recognize that quantum ran

In both cases, the question that interests me is whether an external observer could build a model of the human, by non-invasive scanning, that let it forecast the probabilities of future choices in a well-calibrated way. If the freebits or the trillions of bouncing molecules inside cells served only as randomization devices, then they wouldn't create any obstruction to such forecasts. So the relevant possibility here is that the brain, or maybe other complex systems, can't be cleanly decomposed into a "digital computation part" and a "micr... (read more)

2torekp
In the paper you also wrote But given the relatively large amplitude of the microscopic thermal noise that CellBioGuy points to, what evolutionary reason would favor a strong role for quantum freebits? After all, thermal noise is far beyond the comprehension of any rival or predator organism. So the organism is safe from being too predictable, even if it harnesses only probabilistic randomization sources. Or it might amplify both types of randomness, thermal noise and quantum freebits alike. But in that case I'd expect the thermal noise to dominate the cognitive and behavioral results, just because thermal noise is so richly available.

Hi Eliezer,

(1) One of the conclusions I came to from my own study of QM was that we can't always draw as sharp a line as we'd like between "map" and "territory." Yes, there are some things, like Stegosauruses, that seem clearly part of the "territory"; and others, like the idea of Stegosauruses, that seem clearly part of the "map." But what about (say) a quantum mixed state? Well, the probability distribution aspect of a mixed state seems pretty "map-like," while the quantum superposition aspect seems pr... (read more)

Well, the probability distribution aspect of a mixed state seems pretty "map-like," while the quantum superposition aspect seems pretty "territory-like" ... but oops! we can decompose the same mixed state into a probability distribution over superpositions in infinitely-many nonequivalent ways, and get exactly the same experimental predictions regardless of what choice we make.

I think the underlying problem here is that we're using the word "probability" to denote at least two different things, where those things are causal... (read more)

-3DSherron
1) I'm not so clear that the map/territory distinction in QM is entirely relevant to the map/territory distinction with regard to uncertainty. The fact that we do not know a fact, does not describe in any way the fact itself. Even if we could not, by physical law, possibly know the fact, this still does not equate to the fact having inherent unknowability. There is no functional difference between uncertainty caused by the proposed QM effects, and uncertainty caused by any other factor. So long as we are uncertain for any reason, we are uncertain. We can map that uncertainty with a probability distribution, which will exist in the map; in the territory everything is (at least according to the Many-Worlds interpretation Eliezer ascribes to, and which is the best explanation I've seen to date although I've not studied the subject extensively) determined, even if our experiences are probabilistic. Even if it turns out that reality really does just throw dice sometimes, that won't change our ability to map probability over our uncertainty. The proposed source of randomness is not any more or less "really random" than other QM effects, and we can still map a probability distribution over it. The point of drawing the map/territory distinction is to avoid the error of proposing special qualities onto parts of the territory that should only exist on the map. "Here there be randomness" is fine on the map to mark your uncertainty, but don't read that as ascribing a special "random" property to the territory itself. "Randomness" is not a fundamental feature of reality, as a concept, even if sometimes reality is literally picking numbers at random; you would be mistaken if you tried to draw on that fundamental "randomness" in any way that was not exactly equivalent to any other uncertainty, because on the map it looks exactly the same. 2) I'm not really qualified to evaluate such claims. 3) Refusing to bet is, itself, just making a different bet. Refusing a 50/50 bet with a 1

Just as a quick point of information, these arguments are all addressed in Sections 2.2 and 3.1. In particular, while I share the common intuition that "random" is just as incompatible with "free" as "predictable" is, the crucial observation is that "unpredictable" does not in any way imply "random" (in the sense of governed by some knowable probability distribution). But there's a broader point. Suppose we accepted, for argument's sake, that unpredictability is not "fundamental to freedom" (whatever we take "freedom" to mean). Wouldn't the question of whether human choices are predictable or not remain interesting enough in its own right?

7Manfred
I think that the "absolute prediction" question is answered. I mean, I'm acquiring bits of information you can't physically know all the time just by entangling with air molecules that haven't reached you yet. But there's a separate question of "how important is that?" which is a combination of at least two different questions: first "how big an impact does flipping a qubit have on human cognitive actions?" and second "how much do I care that someone can't predict me exactly, if they can predict my macroscopic actions out to a time horizon of minutes / days / years?" I think you're more concerned about absolute prediction relative to "pretty good" prediction than I am, which is a shame because that's the totally subjective part of the question :)
6Protagoras
By "random" I certainly don't mean to imply that the probability distribution must be knowable. I don't see how an unknowable probability distirbution makes things any more up to me, any more under my control.

shminux: Thanks so much for compiling these notes and quotes! But I should say that I thought the other LW thread was totally fine. Sure, lots of people strongly disagreed with me, but I'd be disappointed if LW readers didn't! And when one or two people who hadn't read the paper got things wrong, they were downvoted and answered by others who had. Kudos to LW for maintaining such a high-quality discussion about a paper that, as DanielVarga put it, "moves in a direction that's very far from any kind of LW consensus."

Hi Paul. I completely agree that I see no reason why you couldn't "get a functional human out of a brain scan" --- though even there, I probably wouldn't convert my failure to see such a reason into a bet at more than 100:1 odds that there's no such reason. (Building a scalable quantum computer feels one or two orders of magnitude easier to me, and I "merely" staked $100,000 on that being possible --- not my life or everything I own! :-) )

Now, regarding "whether there can be important aspects of your identity or continuity of exp... (read more)

"Intertemporal solidarity is just as much a choice today as it will be should teleporters arrive."

I should clarify that I see no special philosophical problem with teleportation that necessarily destroys the original copy, as quantum teleportation would (see the end of Section 3.2). As you suggest, that strikes me as hardly more perplexing than someone's boarding a plane at Newark and getting off at LAX.

For me, all the difficulties arise when we imagine that the teleportation would leave the original copy intact, so that the "new" and ... (read more)

cousin_it100

Sometimes you don't need copying to get a tricky decision problem, amnesia or invisible coinflips are enough. For example, we have the Sleeping Beauty problem, the Absent-Minded Driver which is a good test case for LW ideas, or Psy-Kosh's problem which doesn't even need amnesia.

"But calling this Knightian unpredictability 'free will' just confuses both issues."

torekp, a quick clarification: I never DO identify Knightian unpredictability with "free will" in the essay. On the contrary, precisely because "free will" has too many overloaded meanings, I make a point of separating out what I'm talking about, and of referring to it as "freedom," "Knightian freedom," or "Knightian unpredictability," but never free will.

On the other hand, I also offer arguments for why I think u... (read more)

8torekp
Sorry about misrepresenting you. I should have said "associating it with free will" instead of "calling it free will". I do think the association is a mistake. Admittedly it fits with a long tradition, in theology especially, of seeing freedom of action as being mutually exclusive with causal determination. It's just that the tradition is a mistake. Probably a motivated one (it conveniently gets a deity off the hook for creating and raising such badly behaved "children").