The Deutsch Files II
Brett Hall and I interview David Deutsch , physicist and author of The Beginning of Infinity . Also see The Deutsch Files I .
The universality of computation and explanation
Naval: So let’s go through
The Fabric of Reality
—the four theories. Feel free to start wherever you’d like, but the four theories that you think comprise the Theory of Everything and maybe especially what are the biggest things that even peers, colleagues, contemporaries don’t understand or don’t fully appreciate that makes each one of these deeper or perhaps more counterintuitive or more interesting than it might be at first glance.
David Deutsch: Well, I don’t know, we can start with computers. As I said in the book, it’s hard actually to speak about any one of those things without mentioning the other three. But if we start with computers, I think there’s something really fundamental that Turing discovered, or rediscovered, because I think that Babbage and Lovelace also understood it, more or less. That’s the universality of computation, that computation is physically universal. So there are several ways of putting this, like a computer can mimic any physical object, or a computer can perform the computations that any other computer can perform. Now putting it the second way, it sounds like it’s a statement about all kinds of different computers and has nothing to do with trees and garages and windows and so on, but actually it has to do with everything. And therefore, people still, even today, are saying things like, “How do we know the brain is a computer? You’re just assuming the brain is a computer. Like in the 19th century, people thought the brain was a steam engine.” And I think Searle is one of the people who says that kind of thing, or has said that kind of thing.
In order to understand Turing’s discovery, you’ve got to understand several things about it. One of which is that it’s a theory of physics and that is denied almost wholesale by mathematicians. So mathematicians are used to the theory of computation being a branch of mathematics. They love the theorems that you can prove and the theorems that you can’t prove and so on. And it’s not that they don’t want to admit, it’s not quite it. It’s that learning to be a mathematician apparently means adopting a certain worldview that makes it very hard to understand that computation is a physical process and is governed by laws of physics, which could be different. Whereas the laws of logic, they think, couldn’t be different, and therefore that things like whether P equals NP and whether the brain is a computer and so on isn’t a matter of physics.
But it is, and the best physics we know (which could be wrong), says that computers are universal, that in a certain sense Turing’s computers are universal, and in a certain sense quantum computers are universal, or will be when they’re built, if they’re built.
Brett Hall: Just on this, how do we know the brain is a computer? Turing’s thesis would say that all physical processes can be computed. So what a tree is doing, we can write a program and a Turing machine would be able to capture that. But the tree is not a computer, but the brain is?
David: Well, the tree isn’t a general purpose computer. But you can think of Turing’s thesis, whatever you call it, the other way around as well, because the reason he wanted to make this imaginary machine out of paper is not that he wanted to understand paper, or as Feynman said he should have, but that he wanted to have a model of computation and he wanted to be able to say, to conjecture that it is obvious that anything that can be computed can be computed by this paper.
Now, that means that he’s also assuming that this paper can also compute whatever a tree can compute, because you could regard the tree as a computer, and then Turing’s saying whatever it can compute is a subset of what Turing machines can compute and Turing machines are the ultimate. There’s nothing beyond that. That’s another thing that’s really important that when it comes to universality of explanation, people don’t get it because they don’t even get the universality of computation. They don’t understand that if someone says, “What if the aliens come from Alpha Centauri and they have better computers than us?” It’s impossible. They can have computers that are faster and have more memory, but that’s it. Our computers are the limit of what can be computed by anything in the universe. Unless quantum theory is wrong and so on, but that’s not what they’re saying. They’re not saying maybe quantum theory is wrong.
They’re failing to make the connection in Turing’s argument between physical objects and mathematical objects—imaginary paper and anything else, like trees. I don’t know if that’s the thing that people tend to get wrong, but that’s one thing that I’ve seen a lot lately.
The growth of knowledge begins with problems
Naval: And that leads us into the others, both epistemology and quantum theory. Let’s go to the one where you, even though you may deny it, where I think you’ve made the most original contributions after computation, which is epistemology. We have to invoke his name just to point to it, but Popperian epistemology. What do people not appreciate or perhaps overlook or get wrong or not understand? Or is there another way of approaching it that might help people understand the fundamentals?
David: Yeah, it’s more of another way of approaching it. So people do credit Popper with certain things, but they are unimportant things by comparison with his actual philosophical discoveries. Like that scientific theory ought to be testable. That’s true, you know, or 99 percent true, or something like that, and it is reasonably important in order to distinguish things, as Popper wanted to do, to distinguish things like fundamental physics from Marxism. So it’s useful for that, but it’s not such a big deal. I think my colleague Matjaž Leonardis said last year that to him the most important concept in Popper is the concept of a problem. Once you’ve understood what Popper means by a problem, you have this other way of understanding what epistemology is and so on. And I think I’ve come around to agreeing with that, because all previous epistemologies assumed that knowledge is, well, sometimes it’s called justified true belief, but I think it’s wider than that.
I think the misconception is that we want knowledge because we want to rely on it, and therefore, wherever it comes from, which is mysterious, but that better be reliable too. That’s the intuitive idea that I think most people have and that most philosophers had over the millennia. Therefore, you want to say, well, what is absolutely certain? Is it the sayings of the gods, or of God? Is it immediate sensory perception? Or is it our tenuous memories of a previous life, like Plato tried to say? Because I think many serious philosophers have realized that the senses are imperfect and can be misleading. But then they said, okay, well, if not the senses, what can we rely on?
And then Immanuel Kant said, “Oh, pure reason, you rely on pure reason.” And that led him to all sorts of rather silly conclusions. Whereas if you have the idea of a problem, as Popper understood it, which usually in Popper, the word problem refers to good things, although there are bad problems as well, like the problems of suffering and so on. But he mainly uses problems as used in science as an interesting thing which we haven’t solved yet, which we haven’t understood yet.
And then, as soon as you think of science and rational thought generally as being about problems, then you lose the urge, the need to talk about where it comes from, because the problem is there to be solved, and the solution is what you want, not the justification of the solution by going back to first principles and proving that Jesus is the Son of God because he’s a descendant of King David because the prophecy said he had to be a descendant of King David. Therefore, we have to secretly invent a genealogy that goes right back to David in real life. And nobody has discovered a real genealogy that goes back that far, anywhere near that far.
And the truth of Christianity doesn’t depend on it. It’s the wrong way of thinking about Christianity. But then, when it comes to religions, people then, because of this epistemological error, because of this complete disregard of problems as the origin of the growth of knowledge, the more important the thing they want to say they know, the more they want to justify what they think is the origin of it.
So you have people waging wars and torturing each other to death because of their interpretation of what somebody who may not have existed said thousands of years ago and probably, even if he did say it, probably didn’t mean it in the way they mean today. We know because people do exactly this for people who lived a hundred years ago or indeed people who are alive today. So it’s a farce, but it’s also a tragedy, as Karl Marx said. The simple epistemological error leads to unlimited suffering. And it’s a common error, so I think if I had to pick something that most people don’t get about epistemology, it’s that the growth of knowledge begins with problems.
Problems are clashes between ideas
Brett: Let’s linger on that and focus a little bit more on the notion, therefore, of a problem in Popperian epistemology, given that most people will hear the word problem and think something negative. But you’ve already said that Popper speaks about problems as a good thing. Am I right in saying that it’s somehow a clash of ideas or where ideas are making claims about the one phenomena but are making different claims about or competing claims about this phenomena?
David: Yes. And not only about phenomena, about anything, you know, about morality and pure mathematics and you name it. So, yes, there can’t be any one definition of the concept problem and Popper doesn’t do definitions quite rightly. But I think thinking of a problem as a clash, and it’s got to be a clash of ideas, or interpretations, or theories, or so on, is illuminating.
Because if you think of it that way, then you start with the idea that they can’t both be true. I mean, that’s what the problem consists of, it’s realizing that they can’t both be true. It’s important to realize they could both be false, rather than say, we’ve got to find the true one. Usually they are both false, but usually there are important errors to correct, and usually there are important errors more in one of the clashing ideas than in the other.
Popper also stresses, and this is also quite important, speaking of clashes, that a clash of ideas is very beneficial even if they are never resolved. Even if the parties with the ideas never agree, because when the ideas come into conflict with each other, almost without the people knowing it or wanting it, they get changed. Because even if you come out of an argument saying, “Oh, I’ve really showed it to them!” right? What you mean is, you’ve thought of a new angle, which you didn’t have before going into the discussion. You’ve thought of a new angle on your own view, which makes you more sure of it than before. And, although it’s not good to be sure of things, this change, this way of changing, the confrontation between ideas as being beneficial because they cause change in the ideas is also a beneficial side effect of Popper’s concept of a problem.
Brett: I can hear the anti-Popperians or even the non-Popperians saying, but hold on, when you make an observation with a telescope of here’s Mercury, that’s an observation. That’s not an idea that you have. So the fact that it conflicts with the existing classical picture of how gravity works, that’s not a clash of ideas. It’s an observation that is clashing with grounds and an idea or a theory.
David: Yeah. Well, you had two theories at the time. Both of them had their adherents, general relativity and Newton’s theory. There were also other tangential ideas. Like if you believe Newton’s theory, or if you adopted Newton’s theory and you wanted to reconcile that with the observations, because the observations were also a theory, and you could say that the astronomers are wrong, which they did actually. People said about Eddington that his observations were wrong, and it was only actually in very recent times that it was uncontroversially discovered that Eddington’s observations were in fact right. Even though they were incredibly hard to do and he didn’t get enough credit all those decades. So you had theories about the observations.
Then there were theories to fix up Newton’s theory, like the theory that maybe there’s another planet that we don’t know about. And you could tie down that theory and say where the planet has to be, what its mass has to be, and so on. And you could then slowly rule out that this planet was there and Newton’s theory still be true. Of course, if Newton’s theory was wrong, then you can put the planet anywhere you like and make any modification you like to Newton’s theory. So that’s not how it works. We want good explanations.
At that time you’re speaking of, Newton’s theory was a good explanation. It had some problems with it. Einstein’s also. And all relevant experiments—the observations of Mercury, the observations of the Eclipse, and so on, and all the subsidiary observations as well, were all in conflict. And the argument improved those theories until the clash was such that Einstein’s theory was the only good explanation left. You had an infinite number of bad explanations, they’re always left. But the only good one was Einstein’s theory, and I know you were looking over there through your telescope at the non-Popperian, but I think he’s gone now.
Evolution is not the survival of the fittest
Naval: Let’s talk about one of the remaining two, quantum physics or evolution by natural selection.
David: There’s a very simple way in which people don’t get evolution, and it dates back to the old theories of evolution, like Lamarckism and I don’t know what they called Erasmus Darwin ’s gradualism , or whatever, but anyway, these were attempts to account for the world around us without appealing to the supernatural. So both Lamarckism and Erasmus Darwin’s theory, I am probably not crediting the real author, the originator of that theory. They wanted to make sense of the world without appealing to the supernatural. And their ideas are still current, not under those names. Sometimes Lamarckism even under that name. And of course, there was Lysenkoism , which was a species of Lamarckism. But today, most scientifically minded people would say that they agree with Darwin’s theory of evolution, and then they would immediately, often, go on to say that after all, “the survival of the fittest”, and, you know, obviously the fittest are going to survive, and that’s not at all what Darwin’s theory says.
But, I actually think this battle is more important than the one between creationism and evolution. Because this battle, the battle between Lamarckism and Darwinism, or neo-Darwinism, whatever you want to call it. Again, we can’t pick a good name for it. This is about what is a scientific explanation, and creationism versus evolution is not about that. That’s about whether we want a scientific explanation. So, if somebody’s philosophy seeks a supernatural explanation of the world, then you can’t argue with that person about evolution. You’ve gotta argue with that person about that. That’s the philosophical argument. It has nothing to do with animals or evolution or anything like that. You have to engage with that idea of wanting the supernatural on completely different grounds and with different philosophical arguments to the ones that you would use about evolution. I think that’s more important. But you know. That’s just my opinion.
Naval: So you gave us the enticing tidbit that it’s not about survival of the fittest. What’s wrong with saying survival of the fittest?
David: Ah, well, it’s about the replication of genes. Or gene variants, if you want to be more precise still. It’s about the differential replication of gene variants, which is what gives it its connection with epistemology as well.
Naval: So it’s the survival of the best adapted gene? Or propagation of the best gene?Or genes encapsulate knowledge and it’s the growth of knowledge, and therefore the replication of the genes is a physical instantiation of that knowledge?
David: You can put it that way if you think of knowledge as information that has causal properties, but not everyone does. So there are theoretical biologists who try to develop numerical measures of fitness so that they can say genes evolve to maximize fitness. And fitness has got something to do with how many of your grandchildren survive and, you know, the very complicated mathematical thing. And Dawkins said, now I won’t be able to say it as well as he did, something like fitness is that quantity which appears to be maximized if what is actually maximized is the survival of genes. So, this is a very simple theory at one level. I said the other day that, in a sense, Darwin could have written his theory on one page, but it needed a book to explain it and he still hasn’t entirely succeeded. And the neo-Darwinians had to improve on it a little because he didn’t have a concept of gene because they hadn’t been invented. Or maybe they had with Mendel, but he didn’t really know that, even though they were contemporary.
Brett: One part of what I got from The Beginning of Infinity, which I didn’t even realize until I read the book, was that we understand far less about evolution by natural selection than most people think. Going through high school, you’re basically taught, if you encounter evolution by natural selection, well there’s the theory, it’s wrapped up in a nice little bundle, it’s almost like Newtonian physics, that explains everything about what’s going on in biological diversity. But you point out evolution by natural selection almost stands on equal footing, not quite, but there’s a mystery there at the heart, as there is at the mystery of the heart of what a person is and how a person creates knowledge. Can you illuminate that for people? What do you mean by we don’t really know everything about evolution?
David: Well, in both cases there’s a mystery. I think in the case of evolution that mystery is not as important to the foundations of the theory as the question of “What is a person?”, “What is knowledge?” has to do with artificial general intelligence. But in regard to evolution, it is a fact that we, despite having enormous amounts of computer power available, do not know how to make an artificial ecosystem as a simulation on a computer. What always happens is, when they try to make such a system, is that the functionality of the simulated organisms improves and improves and improves and then stops improving. And real evolution is nothing like that. Real evolution is going on all the time, changing, making new branches. There are new species evolving all the time and it’s just going faster and faster and there’s no end in sight to it. It’s open ended.
Brett: You talk about the robotic legs learning to walk in The Beginning of Infinity. Genuine biological evolution doesn’t have a goal in mind, but clearly with the graduate student who’s got these robotic legs that don’t yet walk, uses a so-called evolutionary algorithm such that by the end of a number of iterations it is walking. Well it’s been programmed with the goal of walking—
David: Yes, so I actually first realized this about evolution in a lecture that I was at about robots walking, that’s what I put in the book. In a way it was an amazing presentation. This was, I don’t know when it was, 1980s or something, maybe earlier. So computers weren’t as powerful in those days and these people were making actual robots, not simulations. So what I said just now is about simulations, but the same is true of robots as well. Robots have gotten much better now, but they still don’t do this thing that evolution does even slightly.
So I saw the videos that they had of the robot not walking very well and then walking better, and then walking in ways that they hadn’t foreseen. So they were saying, “Ah, this is creativity in evolution”. And so I thought, wow, you know, if I come back in a year or two, what will they be doing then? And then I saw. Oh, they won’t be doing anything new at all unless the graduate student thinks of it.
Naval: They don’t have their own problems. The problem is imposed from the outside. And so the problem it’s solving is just being solved from the outside. It’s just an instrument being used in the pursuit of solving that very specific, a very focused problem.
David: Yes. So another example I use to illustrate this, an example from physics, is that Newton’s theory of gravity had an arbitrary constant in it, which we now call capital G. I think historically it wasn’t G, it was mg—the mass of the earth times G or something, which was the fundamental constant. It’s neither here nor there, but it had a constant, which Newton didn’t know. And then later, Cavendish invented this very clever experiment to determine this constant. Now, I think Newton’s discovery was not incomplete by not knowing that constant.
His discovery was an explanation, and that explanation is the same before and after Cavendish. Cavendish, no doubt, used tremendous creativity to design the Cavendish apparatus and to make it measure G with an accuracy that you’d be amazed was possible in those days. He did that. That involved creativity, but that wasn’t creativity about gravity. That was creativity about brass balls, wires and so on—incredibly sophisticated. By the way, experimentation in science is hard.
I don’t know if that comes up anywhere in the four strands, but that’s another thing that people just don’t realize. They don’t realize that mistakes happen all the time. And to do an experiment where you can form a good explanation that you have measured the thing that you’re saying you have measured is very difficult. And sometimes beyond our technology or our knowledge at the moment. And so people just do a bad experiment and publish that. So that’s another thing that happens that people don’t get.
Brett: It was interesting when I asked you about this once, in terms of just making observations. Ostensibly what an experiment is, is here we’re making a precise observation. And the experimenter knows more than anyone about how the instrumentation works, and yet still errors can go wrong. Weirdly enough, that entire way of talking about experimentation comes to bear on a topic du jour , I suppose, of these UAPs, the UFOs, and that kind of thing.
You know, people thinking they’ve made this observation, and yet it’s not being done in a laboratory where it’s highly controlled and everyone understands it’s way worse than that. Here’s a thing that no one knows about, and yet we’re making grandiose claims about it.
David: That’s a very good example. And when challenged, people will always make a beeline for the authority. “Oh, you know, this was a USAF captain, you know, you’re impugning his status, you’re impugning his honesty” or whatever. Well, the real truth is that mistakes are everywhere, and everyone makes mistakes. And there’s no limit to the amount of mistakes we can make. And in scientific experimentation, almost all of the effort required to do a scientific experiment is forming theories about the errors, forming explanations of what errors there could be, and then forestalling them or measuring them.
Again, I was very impressed several years ago now when I went to the Cavendish laboratory in the cellar of the Cavendish laboratory, sort of Frankenstein like. Apparatus is there, and I was led in to see how they were experimenting on a single atom. And not just on the atom, they were making it do things. They were making it jump through hoops. They were making it do quantum computations on a single qubit. And I looked at the wall, and the wall was covered with graphs of the errors. So, you could regard the whole experiment as an experiment about the errors that happen when you try to make a qubit. And if they hadn’t had those, if they just set up the experiment as it’s later going to be described in the paper, without making the improvements to remove those errors, they could have got random results, they would have probably got the results they were hoping for. That’s what usually happens when you do a bad experiment.
Bad philosophy in quantum theory
Naval: This showed up again recently in the whole room-temperature semiconductor hunt. Where if you want to believe something, and then you drop all of the skepticism that you should have around the measurement, then you can get almost any result you want in a non-replicable way. Or you can see almost anything you want to see. Speaking of which, some things are obvious yet unseen. I think we’re just getting to the fourth strand now, quantum theory, which I think is the one that actually people understand the least. It’s just considered the most esoteric of the disciplines. Normally, most people wouldn’t even dare say they understand quantum theory because of the rigor in the physics that they think is required. But where do you think people get this one? Maybe they approach it from the wrong direction or they’re missing something in plain sight.
David: Now that I think of it, the misconceptions about quantum theory, although in some ways they resemble misconceptions about other theories that are far from everyday experience, like relativity, cosmology, black holes, and so on. In some ways, it’s just unfamiliar, and therefore, people hear what they expect to hear and then double down on their misconceptions. So that happens in all the fundamental theories. But the basic thing that’s gone wrong with quantum theory, unlike the other three strands that we’ve discussed, began inside physics itself. And it is the doubling down by physicists on their misconceptions, which has then been transferred to the public.
And I think we might even have got to the stage now, when the public, I don’t know, maybe I’m being unfair, but I was going to say that maybe the public by now have got a better handle on what kind of a theory many universes quantum theory is than the physicists who still resist it, who are the majority, because the physicists who have resisted have been led by their education, by very strong peer pressure and authoritative pressure and mistreatment of students and their questions and all sorts of nasty things have come together there to make people use bad philosophy as a defense of their misunderstanding of the science of quantum theory.
So instrumentalism and positivism have their stronghold now in theoretical physics. There are very few, if any, philosophers who still defend those things. Even behaviorism. There’s all sorts of moves you can make along the road to avoid the conclusion that reality consists of many universes plus other things, that physicists are more driven to take those than ordinary cranks.
So what is the mistake? As I say, I think originally there was only a small community of physicists who originated quantum theory and there was a little subculture there and that subculture happened to be susceptible to a form of positivism that was worse than the ordinary positivism in that it was also susceptible to kind of mysticism. So all this stuff about, for example, the observer’s consciousness changing the nature of reality, that was not originally in the bad interpretations of quantum theory, Bohr’s interpretation. Bohr never said that. And Niels Bohr, he said a lot of things that were bad philosophy, but he didn’t say that.
And so what has been built on that foundation, an attempted foundation to secure the single universe worldview, has incorporated positivism and then instrumentalism and mysticism and a bad form of empiricism, which is “Shut up and calculate,” but there’s also sheer intimidation. I mean, physicists who are working on branches of physics that don’t directly involve taking a position on this are reluctant to take a position on it because it will reduce their standing with their colleagues, journalists, and so on, or at least I think it will. Well, maybe I’m wrong to psychologize. I mean, I don’t really know why these things have happened.
Brett: It’s a spectacular, though true, conclusion to reach that, you know, you look at any interference experiment, the double slit experiment, and you can conclude on that basis there are many universes. But you’ve also said the existence of many universes is in fact one of the least surprising and confounding things about quantum theory. What are some of the other more counterintuitive parts of quantum theory?
David: Yeah, I think entanglement is much more counterintuitive. By the way, I’ve also said—I thought you were going to ask how counterintuitive is quantum theory compared with, say, relativity. I think relativity is much more counterintuitive than parallel universes, because parallel universes—they make movies with parallel universes in the plot. It’s very hard to make movies with curved spacetime in the plot.
Naval: I think Interstellar is the only one—
David: Well, yeah. But even that, they avoid the curved spacetime bit. They have the black holes.
Naval: Yes, and they do the accelerated time bits.
David: Yeah. So, that’s a theory that is hard to get your head around, and is very, very different from our experience. And even where now that we have the GPS system over our heads, measuring our positions, many times more accurately than you could if you didn’t take relativity into account, people want to adopt relativity only instrumentally. But they don’t go into flights of fancy like is done in quantum theory. That is the thing that seems to only happen in physics, in quantum theory, and I can’t explain it.
Naval: It seems that the appeal of anthrocentrism, where we’re at the center of everything, is so strong that it sort of re-emerges now under the guise of the observer.
David: Maybe it’s that, but from your own example, people did accept that from modern astronomy. So, in the 20th century, we discovered that even the galaxy is just one among many galaxies, and people were shocked. But they, thinking people, reacted by thinking, “Okay, well, I was wrong, not only are we not the center of the solar system, but we’re not the center of the universe, and we’re not the center of anything.” And now they’re shocked by saying, “Well, in a sense, we are the center of everything”.
Free will is intimately connected with knowledge-creation
Naval: So let’s get into that. So these four strands of the fabric of reality—four theories—they form, for lack of a term, the theory of everything. What now emergent principles and concepts can we talk about that rely upon two or more of them? We were talking about one earlier. Let’s just get a little more formal about it: Knowledge.
David: Yeah, by the way, it’s the theory of everything known. So there are things, glaring omissions in what we know.
Naval: For example, we don’t understand consciousness, we don’t understand creativity, we understand maybe how knowledge grows, but we don’t understand where it comes from.
David: Yes, exactly. So we don’t understand those things, and they’re not part of the four strands, which is The Fabric of Reality, the book, I mean, they are part of reality. So, your question was? Was it connections between the four?
Naval: Yeah, connections between them, and so that can be knowledge, that can be wealth, that can be optimism, that can be error-correction, but there are all these principles. I even suspect the fun criterion, Taking Children Seriously , universal explainer arise out of these.
David: Wow, that’s a lot of things. Let me point out that of the four strands, I invented none. And of the connections, of the two way connections between the four things, I invented one.
Naval: Quantum computation.
David: Yeah. So, The Fabric of Reality is really a sort of, what do you call it, a riff on these things, on these ideas which are true, but haven’t been appreciated and whose connections haven’t been appreciated. So with free will in the multiverse, I think what I said about that in The Fabric of Reality is very inadequate and possibly misleading. I did not mean to say that the multiverse solves any problem of free will. I just kind of used the multiverse as an example to show that Newtonian mechanics doesn’t violate free will either. Those are separate issues and that you can make sense of counterfactuals, whether the world is deterministic or not. By the way, counterfactuals and Constructor Theory is yet another spin off of these things.
Naval: Let me step back. You understand these things at a core level. They inform how you operate in your own life. So you don’t have to get specific about your own life, but [what are some] principles that you sort of know to be relatively true or they are our best knowledge today because of these four strands.
David: So one of the sort of spin offs in regard to free will is that although we don’t know how knowledge-creation happens, free will seems to be intimately connected with knowledge creation so that there’s a lot we don’t know. But again, the argument that because of physics, let’s say, free will can’t possibly exist is just wrong. It’s just misconstruing physics. And one of the things it misconstrues is that, again, because of empiricism and that kind of error, it is thought that all explanations have to fundamentally boil down to predicting things from first principles. So if you can’t predict a thing from first principles, then your theory of it can’t be fundamentally true. And it might be an illusion, and that’s what people think theories of free will amount to. That free will is just an illusion that we create, tell ourselves, but doesn’t correspond to anything at the lowest level. Well, the second law of thermodynamics doesn’t correspond to anything at the lowest level either.
You can’t look at an atom moving in the air, or a molecule moving in the air, and say that molecule is moving irreversibly. None of them are. They’re all moving reversibly. And yet, the combination of them is moving irreversibly. And there’s a theory of that, a hard scientific theory of it, which, if you try to violate, you are a crank. So that’s an example of the fact that scientific knowledge exists on several levels of emergence, although emergence is actually only one of the ways in which high level theories can be related to low level theories. But, in general terms, you can call it emergence. Once you make this mistake, and you say there’s no free will, that can have drastic implications for other high level theories, such as theories of morality.
So some people say, “Well, we’re all made of atoms, and we can’t help what those atoms do. Therefore, murderers are no different from other people. So we shouldn’t be putting murderers on trial or sending them to jail,” or whatever. And on the other hand, the inverse of that argument is, “Well, because a murderer has murdered people, there must be something in their atoms, in their arrangement of their atoms, which makes them a murderer. And therefore, they are to be kept in jail forever, basically, because we can override some things in our genome, but most of the time we are slaves of our genome”. Because of empiricism, because of no free will, and because of all these mistaken and/or bad philosophical theories, we end up ending up with policy backed up by rubbish arguments.
Now, there may be, there are excellent arguments for letting people out of jail, for putting them in jail, for doing x, y, or z to them while they’re in jail, or when they’re not in jail, and all those arguments are perfectly valid domain of philosophy, and some people pursue that kind of philosophy. And one could be wrong, one could be right, one could be half right and so on, but to pontificate about it from the perspective of basically physics is, what shall I call it, is category error. It’s just wrong.
Brett: Some say that it’s compassionate to not subscribe free will to people because of exactly what you’ve said: the murderer is a victim and they cannot help but do what they do. There are those who don’t necessarily argue from physics, but from some sort of folk psychology. Maybe not folk psychology, but a certain psychological theory.
Naval: Yeah, I think there’s, if I understand you correctly, and correct me if I’m wrong, please, I want to understand this. I think there’s two things you’re saying here. One is that some theories only emerge at certain levels. They’re not visible or available to you at lower levels. Thermodynamics is an example. Watching a single molecule or atom in isolation will not tell you anything about irreversibility or statistical irreversibility. And that can only be seen at a macro level, so at a higher level. And so, some theories are equally valid and they’re not capable of being reduced any further, but they’re equally valid at their own levels.
David: Even if they can be reduced, thermodynamics is sort of a case of this, or maybe chemistry is a better case. Even when they can be reduced to a lower level, there may be explanations and laws that only exist at the higher level. So we think that chemistry is entirely due to physics. And we can make predictions about chemical properties using only physics. Basically, using physics plus computers to solve the equations. In addition, there are such things as acids, which you can have theories about, and which you can explain the world in terms of where you could not explain the world in terms of the underlying physical reason.
Naval: No matter how much computation power you had?
David: Well, depends what you mean by “No matter how much,”
Naval: Within the universe, within the limits of the universe.
David: Within the universe, is hopeless. There may be a mathematical computation that is enormously bigger than the universe.
Naval: I think what you’re saying is, so people point to, “Well, it’s all particle collisions, right? Particle collisions explain everything. And so because of particle collisions, this man went and murdered another man.” But you could say, “No, there are some things that have to operate at that level of explanation. Because you can’t compute it and also because you can’t understand it.
David: Yes, it’s the latter. It’s the latter that I’m talking about. Because even if you could predict, which you can’t, you still lack the explanation. As I say in The Beginning of Infinity with the domino theory, you could follow through every single domino striking every other domino and work out that this one domino will never fall over and then you will have predicted it. But you still won’t understand anything about prime numbers. You won’t know that it’s due to prime numbers. There are arrangements of dominoes where nobody knows. Nobody will know for the next 10,000 years why a particular domino stands out and not the others. And some cases we will never know. Those cases all involve continually adding dominoes, but that doesn’t change the fact that there is an explanation of things that these dominoes do that doesn’t have to do with dominoes.
Naval: So do you care to give a summary of your best explanation of free will or should we just skip that?
David: It’s a loaded topic. Well, I don’t really have an explanation. I think that free will is intimately connected with the creation of new explanations. Because I think philosophically, the thing we want from a theory of free will, and which doesn’t seem to be present in like Newtonian physics or anything, is the idea of creation, of something new being created. Before we had Newtonian physics, and as long as we still had philosophy, people would talk about the universe having been created by God out of nothing. In some religions or some theories of creation, God creates the universe out of nothing. It’s not that he makes something into the universe, like mud or whatever, some religions say that, but some of them say, “God created the universe out of nothing.” Now, common sense folk psychology says, humans create something out of nothing when they have a new explanatory idea.
And that’s why we make a difference between “person X pushes person Y onto the railway line when they’re both standing on the platform.” Was person X intending to push person Y onto the platform, or was person X himself pushed by person Z? In both cases, person X pushed person Y because of the laws of physics. But, intuitively, we know that the two situations are chalk and cheese. And you might not be able to tell very easily which it was because the eyewitnesses won’t know. So you need other explanatory knowledge, not just observations to tell you which it was. But which it was is considered a real thing in a court of law. And I think that it is a real thing, and the pivot on which this turns is the fact that creating new explanations is creating a real thing. When Einstein solved the problem of how special relativity is consistent with gravity and invented general relativity and wrote down the theory of general relativity, it’s not the case that the theory of general relativity had already been implicit. In Einstein’s brain, or in the world on planet Earth a hundred years before, or in the Big Bang. It had never been implicit anywhere until Einstein created that knowledge out of nothing.
That’s the quintessential act of free will. It’s an act that was created by Einstein and not someone else and not the blind forces of nature either. It was created by him. So people sometimes use a different example, which I think is not a helpful example—people say, “Think of a random number between one and a hundred,” and you try and think of it and then you plot the numbers that people choose, and they’re nowhere near random. If you ask a random number, no one ever says one or a hundred, and so on. And now, trying to simulate a random number generator is the opposite of free will. That’s using an example which is the opposite of free will to illustrate what people mean by free will. What Einstein wrote on that day was unpredictable because no one else had his problem situation.
And without his problem situation, saying it would have taken the age of the universe is a gross understatement. I mean, there’s no way that somebody without that problem situation could have come up with that solution. So that is the quintessential act of free will, the one that emerges out of you, but not predictably. The reason it’s not predictable is not that it’s random, it’s the opposite, it’s the opposite of being random. It’s because it is the solution.
Naval: So there had to be a problem. The problem required a solution. The solution was arrived at creatively. The solution creates knowledge, which is a real thing, which is causal in the environment, and causes itself to get replicated in everything from GPS satellites to rockets.
and continues on and fundamentally changes the nature of the universe that we operate in.
David: Perfect. I couldn’t have said it that well or at least not that fast.
Naval: And this combines all of the strands of The Fabric of Reality that you’re talking about. Because we have a universal explainer creatively creating knowledge and then causing that knowledge to be replicated into the multiverse and in fact the closer Einstein is to being correct, the more the theory of relativity is replicated across the multiverse and it forms almost a crystal structure of knowledge across the multiverse.
David: Yes. Because the other Einsteins in the other universes would have come up, the other universes would have come up with the same theory. Well, very nearly the same theory. And even in the universes where Einstein didn’t exist, somebody would eventually come across that problem and solve it. And then when they did, that would have merged with the other.
Naval: They would have only solved it and only created the knowledge if they had the problem. If they didn’t have the problem, if it was a computer being told what problem to solve and it was a different problem, it would not have solved it. And actually, before Einstein came along, did people even think they had a problem? Did other people think there was a problem?
David: Einstein wasn’t the only one wondering about this problem. At a crude level, other people did have this problem. In fact, as is often pointed out, the mathematician David Hilbert actually went as far as to write down Einstein’s equations after listening to a lecture of Einstein’s. So Einstein told him the problem. He, being possibly the greatest mathematician in the world at the time, went home, took out a bit of paper, jotted down Einstein’s equations, which it took Einstein like years to work out, but he didn’t know what he was writing. He didn’t understand what he had just written down. Other people in the 19th century had thought about the possibility of curved space for a different reason, but Gauss apparently actually went out with lanterns on hilltops and tried to measure whether the angles of a triangle add up to 180 degrees. He couldn’t do it because the accuracy required is one part in 10 to the eight. But one part in 10 to the eight is not that far away from being possible. And I’ve often wondered whether somebody might actually be able to do it now with laser and so on.
Wealth is not a number, it is a set of transformations
Naval: So let’s talk a little bit about knowledge. What is knowledge in your worldview formed by these four strands?
David: In the course of my philosophical meanderings, I’ve settled on several different conceptions of knowledge, which I think all refer to the same thing. It’s just a different way of characterizing what that thing is, but I think they all come to the same thing. What I’ve recently found most helpful, thanks to Constructor Theory, is that knowledge is a form of information which is necessary for a physical transformation. So if a physical transformation will only happen when a certain type of information is there, then I call that information “knowledge” and that nicely focuses on the knowledge in genes and the knowledge in ideas. And there’s other knowledge which is stored knowledge, like in computers or books. Knowledge can be created, but so far the only things we know of that can create it are evolution and human thought. It’s very tantalizing that there were once several species on Earth that could do this. And they all went extinct, all but us.
Brett: Then interestingly, you take that notion that you’ve just mentioned about knowledge under Constructor Theory as being about transformations, but that’s also the word that you use when you talk about wealth. It’s also about transformation.
David: The wealth of an entity, let’s say of a person or of a country or whatever or of the world can be defined as, in constructor theoretic terms, as the set of all the possible transformations that it could bring about (if it wanted to). It’s never going to bring about all those because they’re exponentially more, or exponentially too many of them. It has to have the right problems.
Naval: And if it has the right problems, then it can use the knowledge plus the physical assets that it has to cause physical transformations. And then if it had the right problems and had the right solutions, then it grows wealth. And if in the process it has to make more creative leaps to do so, it grows knowledge, which also grows wealth.
David: Yes. Well, that is true. One thing that this stresses is that wealth can’t be quantified as a number. Wealth is a set. A set of transformations. And so, I can’t say whether, in these sort of absolute terms, whether Mozart was richer in this fundamental sense than Nathan Rothschild. So, Nathan Rothschild had knowledge of banking, which he had created out of nothing, and Mozart had knowledge of musical beauty, which he had created out of nothing.
In both cases, they were improving on previous ideas, like all knowledge does, but they had created something that was not there before, in both cases. But you can’t say that one of them had more knowledge than the other, because the sets overlap. Or don’t overlap.
Brett: You said there, and in fact, that’s the third time. Einstein created general relativity out of nothing. Mozart created his work out of nothing, but I can hear the objections, “Hold on, they didn’t create it out of nothing. There was pre-existing knowledge there that they have used and mashed up together, rather like ChatGPT. So general relativity was just Einstein riffing off geometry that was there but hadn’t been repurposed for physics.” So how do you answer those opponents of this idea of creation?
David: It’s the same, you know, saying that they were only doing that. They were doing that, they were putting together bits of other knowledge and varying them. That’s not all they were doing, because if you try and do that now, you won’t do it. It’s the same argument as saying humans are only atoms. Well, yeah, humans are only atoms and trees are only atoms and so on. And what’s important about humans is not that they’re atoms. One day maybe we’ll download our minds into silicon and not carbon. And then maybe people will be saying, “Oh, we’re only silicon.”
Brett: Civilization just looking around cries out for an explanation. If you’re going to deny that humans are special, then explain why it is humans and not the bees that are creating the—
The principle of optimism
Naval: Or another way to put it, the combinatorics of discovering relativity just by having some tools that’s so large, it’s instead of monkeys with typewriters, now it’s monkeys with calculators. And they’re going to come up with relativity. It’s still an impossibility.
We’ve talked wealth, we’ve talked knowledge. Oh, let’s talk optimism. The Beginning of Infinity starts out with the principle of optimism, or enters into it very early on. This seems to be the fundamental binding principle of that book—the beginning of infinity of the growth of knowledge.
And so the principle of optimism, error-correction, universe explainers, all of these seem to go together. Is the principle of optimism the most important takeaway from all of this? Is it the most important synthesis? Is it the philosophical basis for how we should probably structure our societies and live our lives? And where does it emerge from?
David: Yeah, maybe not my place to say. It is one of the things that people have told me that it’s that concept that makes them understand the book. I didn’t write it with that in mind. For me, it’s more about epistemology and the role of creation in the physical world and so on.
And the principle of optimism was a corollary of that. But all these things are so connected. That you can start almost anywhere and get to the whole thing by seeing that the thing you were originally interested in has got a wider context. This wider context is important. So another way of looking at the principle of optimism is that it’s just the basic principle of Constructor Theory.
There ain’t no one here but us people. If you think of the set of physical transformations that can be brought about and can’t be brought about, of the ones that can be brought about, the overwhelming majority, and again, that’s an understatement, can only be brought about by people. By people who create knowledge because they want to bring that thing about.
And if there weren’t people in the universe, this set of things which can be brought about would be tiny, and again, tiny is an understatement. It would be almost nothing. There’d be like a few dozen things in the world, different kinds of stars, and that would be that. So that’s an entry point to the idea of optimism, because you can see that if something is possible, then either it’s going to happen spontaneously, like a star or a black hole, or it’s going to be brought about. And if it’s going to be brought about, it’s almost certain to have been brought about by knowledge. And knowledge will have been created either by evolution or almost certainly in the long run, by people. Because at the moment we’re kind of maybe still catching up or have just moved ahead of evolution in the sophistication of the knowledge that we have.
Naval: So I think what you’re saying is that if you look at the inanimate universe, there’s only a few fundamental forces acting in a few known ways. And although it’s replicated at huge scales, the diversity of knowledge there is quite low. And then after that comes the knowledge creation through evolution, which has had a long time to work relative to humans.
So there are some impressive things to show like grass and trees and humans themselves. But the growth of that rate of knowledge is very low. And you can imagine human knowledge growing much faster. And once it begins to spread amongst the stars being the primary thing that needs to be explained to explain the structure of the universe. And so, we are at the beginning of the growth of an infinity of knowledge because we have humans now creating knowledge at a rate and diversity that’s much greater than anything that’s come before. And because we’re universal explainers, anything that can be explained, we can explain. Anything that can be created, we can create. Well, I’m optimistic.
David: Any transformation that is physically possible can be brought about and it requires knowledge.
Constructor Theory
Naval: So what is the problem you’re trying to solve with
Constructor Theory
?
David: We get into physics here. So there are several areas of physics. There is a sort of tacit consensus among people who study fundamental physics in the sense that they’re looking to find out what the laws of nature are, that level of fundamental, that a theory of physics or in general, a theory of science in general, it consists of a theory that says there are initial conditions, there are laws of motion, and to understand the universe you have to understand what the initial conditions are and what the laws of motion are. And everything else is derivative. If such people believe in explanation, they can make the same story about explanation as well. Maybe a little less plausibly. But, the trouble is that not all scientific theories are like that. In fact, in some sense, most scientific theories are very unlike that. My favorite example is Darwin’s theory of evolution.
It’s not the theory that predicts the existence of elephants. It’s a theory that explains the existence of elephants. And the explanation does more than any prediction possibly could. Like, if you could somehow run a supercomputer about the plains of Africa where elephants evolved and it predicts, you know, at one point it prints out a picture of an elephant. It hasn’t explained anything about what has happened or why. Whereas Darwin, who did not have a computer, could have had one. He could have had one if Babbage had pulled his finger out. Darwin understood it, despite not having a computer. So, Constructor Theory tries to get out of this class distinction among the sciences, among knowledge, and so on, and tries to make a uniform framework in which laws of physics and scientific laws in general, and even beyond science, can be expressed.
By the way, another thing that really stands out like a sore thumb in the prevailing way of looking at fundamental science is that it’s not symmetrical in time. So it says that there are initial conditions and laws of motion and everything is then evolved forward from the initial conditions. But the laws of motion are time symmetric, so you could just as well start at the end of the universe and say, we need a theory of the end of the universe. Well, the end of the universe, we hope, is going to contain lots of knowledge, perhaps an infinite amount. And there’s no way we can form a theory of that by definition. I mean, that’s the thing we can least form a theory about in the whole of creation. And even worse, we could also frame the prevailing theory as to understand the world, you have to understand it today on a certain day in October, and then we can use the laws of motion to work backwards and forwards to understand the rest of the universe.
Well, this is no good. I mean, this obviously can’t explain anything. And it’s really exceptional that initial conditions and laws of motion are useful at all in explaining things. So it happens it was useful in explaining the solar system and so on, and it’s useful in making microchips and understanding how to make drugs and chemistry and so on. So those are actually big fields, but compared with what we have yet to know, that isn’t much, and some of the things we already know are already not in that form. Like thermodynamics, for example.
Naval: Is it fair to say or too much of a leap that a good explanation should be timeless? Or relatively timeless. It shouldn’t be so dependent upon the “t” variable.
David: It shouldn’t depend on a specific time, yes, absolutely.
Naval: And so to the extent that you’re talking about initial conditions and laws of motions, it’s very time bound. It seems very restricted. And you can’t go too far forward because you don’t know the growth of knowledge coming up by definition. And going backwards is too reductive. It reduces down to, “We only know it at that point in time,” we don’t have the underlying explanation. It’s as you said, going back and saying we understand the universe a billion years ago is like spitting out a picture of an elephant. The explanation should apply to any species at any time. And so Constructor Theory is, in that sense, it’s trying to be more timeless and less predictive and more explanatory.
David: Yeah, it has no opinion about predictive, but it wants to be explanatory. Sometimes predictions are part of explanations, so yeah, it wants to explain. And the idea in Constructor Theory is not to look at a physical system in isolation as if nothing else existed and say, what will it do? We have these equations that say what it will do. Sometimes they even explain what it will do. What constructor theory does is say, we have a system, what can we do to it? What can be done to it? You have to be careful. In defining what we mean by what can be done to it, because some of the things that you might think of as what we can do to it means that we’re actually acting on a bigger system where if you say, “What can be done to a Tesla?”
Say, a fully charged Tesla can roll along at 100 miles an hour, so that’s something it can do. What can be done to it? Well, that, you’ve got to be careful, for example, charging it doesn’t count in Constructor Theory as something that can be done to it. Because there you would have to say, “What can be done to a Tesla and some electricity?” So what can be done to that is that it can transport a human from Oxford to London. So that’s one of the things that can be done with those things. But if the transformation you’re doing involves depleting some other resource, then it is a transformation on the thing and the other resource. And Constructor Theory only deals with the thing and the other resource.
Naval: So it only deals with complete systems for the purpose of the transformation that you’re considering?
David: When you’re talking about a transformation, it deals with everything involved in that transformation. So in particular, it deals with isolated systems, like the prevailing conception only deals with isolated systems, basically. But in general, it deals with everything that’s involved in whatever transformation you want to do. Then you can have laws that say that certain transformations are not allowed, no matter what you do, even if you, so if you have, let’s say, a Tesla and you want it to go at 1.1 of the speed of light, then we can say a Tesla and anything cannot be 1.1 times the speed of light, that’s the constructor theoretic statement of, “You can’t go faster than light,” which actually is the intuitive statement. “You can’t go faster than light” is very simple and everyone can understand it. To express the full content of that in physical terms given the existing way of doing fundamental physics is actually very difficult because although you can write down easily a statement like if a mass “m” is given an energy and so on, but to actually predict it in terms of things you can do, you would have to have a theory of all the possible things you can do.
The real law about the constancy of the speed of light is a transcendent law. It’s what I call the physical principle rather than the law, and I distinguish between principles and laws. And the physical principle purports to make statements about laws not yet discovered. So if somebody discovers a new fundamental particle, dark energy, and so on, the principle about the speed of light will say that dark energy can’t move faster than light either. Actually that’s a bad example because there’s a sense in which it can. So let’s make it dark matter. We think, I and my colleague Chiara Marletto and those of us who are working on Constructor Theory, think that all the existing laws of physics can either be re-expressed in constructor theoretic terms, or be approximations to theories that can be expressed exactly in constructor theoretic terms.
And we also think that theories like thermodynamics, which is at present only expressed approximately in conventional terms, can be expressed exactly in constructor theoretic terms. Again, because in constructor theoretical terms, your laws are going to include the things that you might need to do something to something. So you can make a general statement about things that you might need to use for something, and the prohibition would say, no matter what you bring, you won’t be able to do so and so. You won’t be able to violate the second law, for example.
Naval: So besides this sort of holistic or unifying approach that it seems to be taking, are there any explanations that Constructor Theory can explain something that cannot be explained by conventional physics?
David: Well, yes. Chiara Marletto has a version of thermodynamics which is constructor theoretic, and which explains what it means for, say, the second law to hold at a microscopic level. We said earlier that looking at an atom, you can’t tell whether it’s reversible or irreversible. So, what we can do in Constructor Theory, she wrote a paper about this—you can go back to a version of thermodynamics invented like a hundred years ago called Carathéodory , which depends on the distinction between an adiabatic process and non-adiabatic process. And this, he didn’t try to express it in terms of physical objects. He just said by fiat that some processes are adiabatic, some not. And the adiabatic ones have these properties and the ones not have those properties. From that, you can define the difference between work and heat, you can define the second law, the first law.
By the way, one of the nice things about Chiara’s theory is that it expresses the first law in terms of information, whereas ordinary statistical thermodynamics only manages to express the second law in terms of information. But Chiara’s theory does the first law as well. Still don’t know what to make of the third law. Like, we’re not really clear in our own minds about what it means for a transformation to be impossible.
Brett: Whenever I hear the word “can” or “can’t” now, I’m automatically put in the mind of Constructor Theory. So, when we hear the principle of optimism—if there is an evil, if there is a problem, then we can solve it, given the right knowledge. And that’s the optimistic view that falls out of your work. There’s a whole movement now, you may have noticed it gets about on X or Twitter, this techno-optimism movement and the “accelerationists” as they call themselves, which, you know, I’m 99 percent with them, but what they have in addition to what you have, or maybe it’s a subtraction, is a flavor of inevitability to the whole thing. So rather than that we can solve these problems and things can get better, it’s more a will or they must. And you know, look at the past, things have gotten better. It’s inevitable. Do you have anything to say about the inevitability of our circumstances?
David: Yeah, well, of course. I think thinking of progress is inevitable. It’s very dangerous. It causes people to ignore dangers. What will happen is up to us. It’s not up to the law of physics or God or something. We can screw up. We can destroy ourselves if we make the wrong choices. As I said earlier, there’s no one here but us humans. We could do it all wrong, and in the past we’ve often done it all wrong. So it’s not as though this optimism didn’t stop the fall of Athens or the fall of Florence and so on, and nothing like that is going to stop the fall of our civilization. We’ve got to do it.
Brett: Yeah, it seems like there’s almost a sense in which techno-optimism and inevitability of progress has pessimism built in because it says that we’re just along for the ride, we don’t have a choice to make, and so whatever the great machine is, the intelligent machine, the super intelligence that is dragging us towards some better place, well, people are by the by, but I think it also misunderstands the universality of people.
Learn more about Constructor Theory here: http://constructortheory.org
How to make a better world
Naval: So this is very related to my two questions, which are just bringing it back to the individual and somewhat philosophical. And you can even make it personal or not, but if you’re an individual in the world today, and if you want to make a difference to make a better world, how should these principles and these four strands of The Fabric of Reality inform your thinking? What should you be doing to make a better world? And then, what should you be doing for yourself to live a better life?
David: Okay, those are not two questions, they’re one question. And I think the formulation is already a bit misleading, because I think that you will want to make a better world if the goodness of the world, the goodness or otherwise of the world, figures large in your problem situation. Like Norman Borlaug , who invented the green revolution or whatever. For him, his problem was to make agriculture more productive. And that is inherently a world problem. And so he inherently, what he was thinking creatively about was the world. He had to take into account whether modification to plants that he was thinking of would be expensive or cheap, and whether it would be susceptible to disease and so on. So he had to solve that range of problems.
Faraday , who also saved the world by inventing electromagnetic induction, was not trying to. He was trying to solve problems about electricity, magnetism, how the world is put together, and how the different strands of the world affect each other, and so on, at a level of fundamental physics. He wouldn’t have been able to conceive, I think, that electrical generators would be a matter of life and death a hundred years later. And he definitely did not start out saying, “How can I make a machine that will be a matter of life and death in a hundred years time?” He achieved that, but he wasn’t intending to. He was going flat out trying to solve his problem, which by the way, also happened to be one of the most important scientific problems of the age. But he wasn’t even trying, again, he didn’t set out to say, “First I’ll find the most scientifically interesting problem of the age and then I’ll devote myself to it.” That’s not how it went. It turned out that that problem was scientifically important, but he wanted to solve it because he was interested in it. He was interested in that particular thing and whether it would work.
And I think Newton’s famous quote about being a boy walking along the beach, picking up pebbles that look particularly nice to him—I think he was talking about the same thing. He had a strange personality and who knows what he was trying to do to the world. Probably nothing good, but in his scientific discoveries, he was, like he said, he was trying to solve the problems that he thought were interesting. And I think in one’s everyday life, I think any deviation from that is dangerous. I don’t want to sit here giving advice for many reasons.
Naval: But you could advise a young David Deutsch who perhaps didn’t go into physics.
David: Yeah, well, I’d rather tell the young David Deutsch specific things that he wanted to know. It’s dangerous to follow someone else’s problem or a problem that one thinks is important in a sense other than that it figures large in one’s own mind. When I say it’s dangerous, it’s not guaranteed to produce unhappiness, even just exactly the same way that doing the right thing, in my view, is guaranteed to produce happiness. Neither is guaranteed. Nothing is guaranteed. We can do the right thing and still have a disaster, or we can do the wrong thing and succeed.
All these things happen, but if you want to explain how things come about by this process “thought”, then it leads to certain conclusions, such as optimism, and such as, as you said earlier, following the fun. That’s another way of looking at it. I think following the fun is what Norman Borlaug did. It’s what Faraday did. It’s what Newton did. I think there are probably people who didn’t do it, who still solved important problems, but it was a fluke.
Brett Hall 和我采访了 David Deutsch ,物理学家、《无限的开始》的作者。另见 The Deutsch Files I。
计算与解释的普遍性
Naval: 那我们来聊聊《真实世界的结构》——四个理论。你想从哪里开始都可以,但你认为构成万物理论的这四个理论,尤其是同行、同事、同时代人没有理解或没有充分认识到的东西——那些让每一个理论比乍看之下更深刻、更反直觉或更有趣的东西。
David Deutsch: 嗯,我不知道,我们可以从计算机开始。正如我在书中所说,其实很难谈论这四者中的任何一个而不提及其他三个。但如果从计算机开始,我认为 Turing 发现了——或者说重新发现了——某种非常根本的东西,因为我认为 Babbage 和 Lovelace 或多或少也理解了这一点。那就是计算的普遍性,即计算在物理上是普遍的。这有几种表述方式,比如一台计算机可以模拟任何物理对象,或者一台计算机可以执行任何其他计算机能执行的计算。用第二种方式说,听起来像是关于各种不同计算机的陈述,和树木、车库、窗户等毫无关系,但实际上它和一切都有关系。因此,即使是今天,人们仍然在说类似”我们怎么知道大脑是一台计算机?你只是在假设大脑是一台计算机。就像19世纪人们以为大脑是一台蒸汽机一样”这样的话。我认为 Searle 就是说这类话的人之一,或者曾经说过这类话。
要理解 Turing 的发现,你需要理解其中几件事。其中之一是,这是一个物理学理论,而这一点几乎被数学家们全面否定。数学家们习惯了把计算理论当作数学的一个分支。他们喜欢那些你能证明的定理和你不能证明的定理等等。并不是他们不愿承认,不完全是那样。而是,学会成为一名数学家,似乎意味着要接受一种特定的世界观,这种世界观让人很难理解计算是一个物理过程,受物理定律支配,而这些定律本可以是不同的。而逻辑定律,他们认为不可能不同,因此诸如 P 是否等于 NP、大脑是否是一台计算机之类的问题,他们认为不是物理学的问题。
但它们确实是物理学的问题,而且我们所知的最好的物理学(可能是错的)表明,计算机是普遍的——在某种意义上 Turing 的计算机是普遍的,在某种意义上量子计算机是普遍的——或者当它们被造出来的时候就会是普遍的,如果它们被造出来的话。
Brett Hall: 就这一点而言,我们怎么知道大脑是一台计算机?Turing 的论点会说所有物理过程都可以被计算。一棵树在做什么,我们可以写一个程序,图灵机就能把它模拟出来。但树不是计算机,而大脑是?
David: 嗯,树不是通用计算机。但你可以反过来理解 Turing 的论点——不管你怎么称呼它——因为他之所以想用纸来造这个想象的机器,不是因为想理解纸,也不是像 Feynman 说的那样他应该去理解纸,而是因为他想要一个计算的模型,他想要能够说——并以此作为猜想——任何可计算的东西显然都可以被这种纸计算。
那么,这意味着他同时也假设这种纸也能计算一棵树所能计算的一切,因为你可以把树看作一台计算机,然后 Turing 说,不管树能计算什么,都是图灵机能计算的一个子集,而图灵机是终极的。没有超越它的东西。另一件真正重要的事情是,当涉及到解释的普遍性时,人们不理解,因为他们连计算的普遍性都不理解。他们不明白,如果有人说”如果从半人马座 α 星来的外星人拥有比我们更好的计算机怎么办?“——那是不可能的。他们可以有更快的计算机、更大的内存,仅此而已。我们的计算机就是宇宙中任何东西所能计算的极限。除非量子理论是错的等等,但他们说的不是这个。他们不是说也许量子理论是错的。
他们没有理解 Turing 论证中物理对象与数学对象之间的联系——想象的纸和其他任何东西,比如树。我不知道这是否就是人们容易搞错的地方,但这是我最近经常看到的一个问题。
知识的增长始于问题
Naval: 这把我们引向其他几个理论——认识论和量子理论。让我们来谈谈那个我认为你在计算之后做出最大原创贡献的领域,尽管你可能不承认——认识论。我们不得不提到他的名字来指向它,那就是波普尔认识论。人们没有认识到、忽略了、搞错了或不理解的是什么?或者有没有另一种理解它的方式,可以帮助人们理解其基本原理?
David: 是的,更多的是另一种理解方式。人们确实把某些东西归功于 Popper,但与他真正的哲学发现相比,那些都是不重要的东西。比如科学理论应该是可检验的。这是对的,你知道的,或者说99%是对的,诸如此类,而且它在区分事物方面——正如 Popper 想做的那样,区分基础物理学和马克思主义之类的东西——确实是有用的。但那不是什么了不起的大事。我想我的同事 Matjaž Leonardis 去年说过,对他来说 Popper 最重要的概念是”问题”这个概念。一旦你理解了 Popper 所说的”问题”是什么意思,你就有了另一种理解认识论的方式等等。我想我已经转而同意这个看法了,因为所有以前的认识论都假设知识是——嗯,有时被称为得到辩护的真信念,但我认为范围比那更广。
我认为误解在于:我们想要知识是因为我们想依赖它,因此,不管它从哪里来(这很神秘),但它最好是可靠的。这是我认为大多数人以及几千年来大多数哲学家所持有的直觉观念。因此,你想说,好吧,什么是绝对确定的?是诸神或上帝的言论吗?是直接的感官知觉吗?还是我们对前世的模糊记忆,像 Plato 试图主张的那样?因为我认为许多严肃的哲学家已经认识到感官是不完善的,可能有误导性。但然后他们说,好吧,如果不是感官,我们还能依靠什么?
然后 Immanuel Kant 说:“纯粹理性,依靠纯粹理性。“这把他引向了各种相当荒谬的结论。而如果你有”问题”这个概念——像 Popper 所理解的那样——在 Popper 那里,“问题”这个词通常指的是好的东西,尽管也有坏的问题,比如苦难的问题等等。但他主要是在科学的意义上使用”问题”这个词,指的是一个我们尚未解决、尚未理解的有趣的东西。
然后,一旦你把科学和一般意义上的理性思考视为围绕问题展开的,你就会失去那种追溯来源的冲动和需要,因为问题就在那里等待解决,你需要的是解决方案,而不是通过回溯第一性原理来为解决方案辩护——比如证明耶稣是上帝之子,因为他是大卫王的后裔,因为预言说他必须是大卫王的后裔。因此,我们得偷偷编造一个族谱,在现实中一直追溯到大卫。而没有人发现过真正能追溯到那么远的族谱,差得远呢。
基督教的真伪并不取决于此。这是思考基督教的错误方式。但是,当涉及到宗教时,人们因为这一认识论上的错误——因为完全忽视了问题是知识增长的起源——他们想要宣称自己所知的东西越重要,就越想去辩护他们认为这一知识的来源。
于是你看到人们发动战争、把彼此折磨至死,原因不过是他们对某个可能根本不存在的人几千年前所说的话的解读,而且即便那个人确实说过那些话,也很可能不是他们今天所理解的那个意思。我们之所以知道这一点,是因为人们对一百年前在世的人,甚至对今天还活着的人,做的正是同样的事情。所以这是一出闹剧,但同时也是一出悲剧,正如 Karl Marx 所说。一个简单的认识论错误导致了无尽的苦难。而且这是一个普遍的错误,所以如果让我挑一件大多数人在认识论上没有理解的事情,那就是:知识的增长始于问题。
问题即观念的冲突
Brett: 我们不妨在这里多停留一下,更多地聚焦于波普尔认识论中”问题”这个概念,因为大多数人听到”问题”这个词会想到负面的东西。但你已经说过,Popper 把问题视为一件好事。我这样理解对不对——问题在某种程度上是观念的冲突,或者说不同的观念对同一个现象提出了不同甚至相互竞争的主张?
David: 对。而且不仅仅是关于现象,关于任何事情都一样——关于道德、关于纯粹数学,凡你能想到的都包括在内。所以,没错,“问题”这个概念不可能只有一个定义,而 Popper 恰如其分地不做定义。但我认为把问题理解为一种冲突——而且必须是观念的冲突,或解释的冲突,或理论的冲突等等——是有启发性的。
因为如果你这样理解,你就会从”它们不可能同时为真”这个认识出发。我的意思是,这就是问题所在——意识到它们不可能同时为真。同样重要的是意识到它们也可能同时为假,而不是说我们必须找到那个真的。通常情况下它们都是假的,但通常其中都有需要纠正的重要错误,而且通常两个冲突的观念中,其中一个所包含的重要错误比另一个更多。
Popper 还强调了一点,这同样非常重要——说到冲突——那就是观念的冲突是非常有益的,即使这些冲突从未得到解决。即使持有这些观念的各方永远无法达成一致,因为当观念彼此碰撞时,几乎在不经意间、甚至违背人们意愿地,它们就发生了变化。因为即便你从一场争论中出来后说,“哦,我真的把他们说住了!“对吧?你真正的意思是,你想到了一个新的角度,一个在进入讨论之前你没有的角度。你对自己的观点想到了一个新的角度,这使你比之前更加确信它。虽然确信事物并不是好事,但这种变化——这种变化的方式——观念之间的对抗之所以有益,是因为它们促使观念发生改变,这也是 Popper 的问题概念的一个有益的副产品。
Brett: 我能听到那些反波普尔主义者、甚至不熟悉波普尔的人会说,等等,当你用望远镜观测到”这里是水星”的时候,那是一个观测。那不是你脑子里的一个观念。所以它与现有经典引力图像之间的冲突,并不是观念的冲突。那是一个观测与一个理论或观念发生了冲突。
David: 是的。嗯,当时你有两个理论。它们各有自己的支持者——广义相对论和牛顿理论。还有其他一些相关联的想法。比如,如果你相信牛顿理论,或者采纳了牛顿理论并想让它与观测结果相吻合——因为观测结果本身也是一种理论——你可以说天文学家搞错了,事实上人们确实这么做了。有人质疑 Eddington 的观测是错误的,直到非常近的时期,才毫无争议地确认 Eddington 的观测其实是正确的。尽管那些观测难度极大,而且几十年来他都没有得到足够的认可。所以你有关于观测的理论。
然后还有一些修补牛顿理论的理论,比如可能存在一颗我们不知道的行星。你可以限定那颗理论行星必须在哪里、质量必须多大,等等。然后你可以逐步排除这颗行星存在的可能性,同时牛顿理论仍然成立。当然,如果牛顿理论是错的,那你大可以把行星放在任何地方,对牛顿理论做任何修改。所以事情不是那样运作的。我们需要的是好的解释。
在你所说的那个时代,牛顿理论是一个好的解释。它存在一些问题。爱因斯坦的理论也一样。所有相关的实验——对水星的观测、对日食的观测等等,以及所有辅助性的观测——全部处于冲突之中。而论证改进了这些理论,直到冲突发展到这样的地步:爱因斯坦的理论成了唯一好的解释。坏的解释永远有无限多个,它们始终存在。但唯一好的解释是爱因斯坦的理论。我知道你刚才朝那边看,那边那个非波普尔主义者——不过我觉得他已经走了。
进化不是”适者生存”
Naval: 我们来谈谈剩下的两个话题之一吧——量子物理或自然选择进化论。
David: 人们对进化论有一个非常简单的误解,这个误解可以追溯到早期的进化理论,比如拉马克主义,以及我不确定他们怎么称呼 Erasmus Darwin 的渐进主义的,或者别的什么——但总之,这些都是试图在不诉诸超自然的情况下解释我们周围世界的尝试。所以拉马克主义和 Erasmus Darwin 的理论——我可能没有正确地归功于真正的作者、那个理论的创始人——他们都希望在不诉诸超自然的情况下去理解世界。他们的思想至今仍然流行,虽然不一定沿用那些名称。有时拉马克主义甚至仍然以那个名字存在。当然,还有李森科主义,那是拉马克主义的一个变种。但今天,大多数有科学素养的人会说他们认同 Darwin 的进化论,然后紧接着往往会说,毕竟”适者生存”,你知道的,显然适者会存活下来——而这完全不是 Darwin 的理论所说的。
但是,我实际上认为这场争论比创世论与进化论之间的争论更重要。因为这场争论——拉马克主义与达尔文主义之间的争论,或者新达尔文主义(neo-Darwinism),随便你怎么称呼——我们找不到一个好名字。这是关于什么是科学解释的争论,而创世论与进化论不是关于这个的。那是关于我们是否需要科学解释的争论。所以,如果某个人的哲学体系寻求的是对世界的超自然解释,那么你没法跟这个人争论进化论。你必须跟这个人争论的是那个立场。那是一个哲学争论。它跟动物或进化之类的事情毫无关系。你必须在完全不同的基础上,用与讨论进化论时截然不同的哲学论证,去回应那个想要诉诸超自然的想法。我认为这更重要。但你知道,这只是我的看法。
Naval: 那你给了我们一个诱人的提示——进化论不是关于适者生存。那么说适者生存有什么问题?
David: 啊,嗯,它是关于基因的复制。或者更精确地说,是基因变体(gene variants)的复制。它是关于基因变体的差异复制(differential replication),这也正是它和认识论产生联系的地方。
Naval: 那么是最适应的基因存活下来?还是最优基因的扩散?或者说基因封装了知识,而进化是知识的增长,因此基因的复制就是那种知识的物理实例化?
David: 如果你对知识的定义是具有因果属性的信息,你可以这样理解,但并非所有人都这样认为。所以有一些理论生物学家试图发展出适应度(fitness)的数值度量,这样他们就可以说基因的进化是为了最大化适应度。适应度跟你的孙辈有多少存活下来有关,还有,你知道的,那种非常复杂的数学东西。Dawkins 说过——我肯定说不了他那么好——大意是:如果真正被最大化的是基因的存活,那么适应度就是那个看起来被最大化的量。所以,这是一个在某个层面上非常简单的理论。我前几天说过,从某种意义上说,Darwin 可以把他的理论写在一页纸上,但需要一整本书来解释它,而他至今仍未完全成功。新达尔文主义者们不得不对它做一些改进,因为他没有基因的概念,因为基因还没有被发现。或者也许 Mendel 已经发现了,但 Darwin 并不真正知道这一点,尽管他们是同时代的人。
进化的未解之谜
Brett: 我从《无限的开始》中得到的一个认识——在读这本书之前我甚至没有意识到——是:我们对自然选择进化论的了解远比大多数人认为的要少。上高中的时候,老师基本上教你,如果你接触到自然选择进化论,嗯,这就是那个理论,被打包得整整齐齐,几乎就像牛顿物理学一样,解释了生物多样性的一切。但你在书中指出,自然选择进化论几乎处在同等的地位——虽然不完全一样——但它的核心有一个未解之谜,就像”人是什么”以及”人如何创造知识”这个问题的核心也有一个未解之谜一样。你能为大家阐明一下吗?你说我们并不真正了解进化论的一切,是什么意思?
David: 嗯,在这两种情况下都有一个未解之谜。我认为在进化这个问题上,那个未解之谜对于理论的基础来说,不如”人是什么”、“什么是知识”这些问题之于通用人工智能(artificial general intelligence)那样重要。但在进化方面,有一个事实是:尽管我们拥有巨大的计算能力,但我们不知道如何在计算机上模拟出一个人工生态系统。每次他们尝试建造这样的系统时,模拟生物体的功能都会不断改进、改进、再改进,然后就停止改进了。而真正的进化完全不是这样的。真正的进化一直在进行,不断变化,产生新的分支。新物种一直在进化,而且速度越来越快,看不到尽头。它是开放式的。
Brett: 你在《无限的开始》中谈到了那个学习走路的机器人腿。真正的生物进化没有预设的目标,但显然,那位拥有还不会走路的机器人腿的研究生,使用了一种所谓的进化算法(evolutionary algorithm),经过若干次迭代之后,它就能走路了。但它是被编程设定了走路的目标的——
David: 是的,所以我实际上最早是在一个关于机器人走路的讲座上意识到这一点的,我在书中写了这件事。在某种意义上,那是一个令人惊叹的演示。那是在——我不知道什么时候,1980年代左右,也许更早。那时候计算机还没有那么强大,那些人做的是真正的机器人,而不是模拟。所以我刚才说的关于模拟的情况,对机器人来说也是一样的。机器人现在进步了很多,但它们仍然完全做不到进化所做的那种事情,连一点点都做不到。
所以我看了他们的视频——机器人一开始走不太好,然后走得更好了,然后用他们没有预料到的方式在走。于是他们说:“啊,这就是进化中的创造力。“我当时就想,哇,如果我一两年后再来,他们会做出什么来?后来我明白了——除非那个研究生想得到,否则他们根本不会做出任何新的东西。
Naval: 它们没有自己的问题。问题是外部强加的。所以它解决的问题只是从外部被解决的。它只是一件工具,被用来追求解决那个非常具体的、高度聚焦的问题。
实验之难
David: 是的。所以我用来阐述这一点的另一个例子,一个来自物理学的例子,是:Newton 的引力理论中有一个任意的常数,我们现在称之为大写 G。从历史上看,它可能不是 G,而是 mg——地球质量乘以 G 之类的,那才是基本常数。这无关紧要,但它有一个常数,而 Newton 不知道这个常数的值。后来,Cavendish 发明了一个非常巧妙的实验来确定这个常数。现在我认为,Newton 的发现并不因为不知道那个常数而有所残缺。
他的发现是一个解释,而这个解释在 Cavendish 之前和之后是一样的。毫无疑问,Cavendish 运用了极大的创造力来设计 Cavendish 装置,并使其测量 G 的精度达到令你惊讶在当年竟然可能实现的程度。他做到了。那涉及创造力,但那不是关于引力的创造力。那是关于铜球、金属线之类东西的创造力——极其精妙。顺便说一下,科学实验是困难的。
我不知道在这四条主线中有没有提到这一点,但这是另一件人们根本没有意识到的事情。他们没有意识到错误一直在发生。而做一个实验,使你能形成一个好的解释——即你确实测量了你声称你测量的那个东西——这是非常困难的。有时甚至超出了我们当前的技术或知识水平。所以人们就做一个糟糕的实验然后发表出去。这是另一件人们不理解的事情。
Brett: 有一次我跟你谈到这一点的时候很有意思——关于仅仅做观察这件事。表面上,实验就是:我们在这里做一个精确的观察。实验者比任何人都更了解仪器的工作原理,但错误仍然可能发生。奇怪的是,这种谈论实验的整个方式,恰好适用于一个当下热门的话题——UAP,UFO 之类的东西。
你知道,人们以为自己做出了这样的观察,但这并不是在高度受控的实验室里进行的,而且所有人都明白实际情况比那更糟。面对一个没有人了解的东西,我们却对它做出宏大的断言。
David: 这是一个非常好的例子。而当受到质疑时,人们总是直奔权威。“哦,你知道,这是一位美国空军上校,你知道,你在质疑他的地位,你在质疑他的诚实”之类的话。但真正的事实是,错误无处不在,每个人都会犯错。我们能犯的错误是没有上限的。而在科学实验中,做一个科学实验所需的几乎全部努力,都是形成关于错误的理论,形成关于可能存在哪些错误的解释,然后预防它们或测量它们。
再说一次,几年前我去了 Cavendish 实验室,在 Cavendish 实验室的地下室里,有点像科学怪人那种感觉。实验装置就在那里,我被带进去看他们如何在单个原子上做实验。而且不仅仅是在原子上做实验,他们在让它做事情。他们让它钻圈。他们在单个量子比特上做量子计算。我看了一下墙,墙上贴满了关于错误的图表。所以,你可以把整个实验看作是一个关于当你试图制造量子比特时会发生什么错误的实验。如果他们没有这些图表,如果他们只是按照论文中后来描述的方式搭建实验,而不做那些改进来消除错误,他们可能得到随机的结果,而他们很可能会得到他们希望得到的结果。这就是做一个糟糕的实验时通常会发生的。
量子理论中的坏哲学
Naval: 这件事最近在整场室温超导的追逐中又出现了。如果你想要相信某件事,然后你放弃了你在测量方面本应具有的所有怀疑态度,那你就可以以一种不可复制的方式得到几乎任何你想要的结果。或者你可以看到几乎任何你想要看到的东西。说到这个,有些事情是显而易见却不被看见的。我想我们现在正好进入第四条主线,量子理论,我认为这是人们理解得最少的一条。它被认为是各学科中最深奥的。通常,大多数人甚至不敢说自己理解量子理论,因为他们认为所需的物理学严谨性太高了。但你觉得人们在这一条上问题出在哪里?也许他们从一个错误的方向切入,或者他们忽略了某个显而易见的东西。
David: 现在回想起来,关于量子理论的误解,虽然在某些方面类似于对其他远离日常经验的理论的误解,比如相对论、宇宙学、黑洞等等。在某些方面,它只是不为人所熟悉,因此,人们听到的是他们预期听到的东西,然后在自己的误解上变本加厉。所有基础理论中都会发生这种情况。但量子理论出问题的根本之处,不同于我们讨论过的其他三条主线,是从物理学内部开始的。是物理学家在自己的误解上变本加厉,然后又传递给了公众。
而且我觉得我们甚至可能已经到了这样一个阶段——公众,我不知道,也许我说得不公平,但我本来要说的是,也许公众现在对多重宇宙量子理论是什么样的理论已经比那些仍然抵制它的物理学家有更好的把握了,而那些物理学家是多数派,因为那些抵制的物理学家被他们的教育、非常强大的同行压力和权威压力、对学生及其问题的不当对待,以及各种各样糟糕的东西驱使着,使得人们用坏哲学来为自己对量子理论科学的误解辩护。
所以工具主义和实证主义现在的堡垒就在理论物理学中。几乎没有哲学家还在为那些东西辩护了。连行为主义也是。在通往避免”现实由多重宇宙加上其他东西组成”这一结论的道路上,有各种各样的策略可以采用,而物理学家比普通的怪人更倾向于采取这些策略。
那么错误到底是什么?正如我所说,我认为最初只有一小群物理学家创立了量子理论,那里存在一个小亚文化,而这个亚文化恰好容易受到一种实证主义的影响,这种实证主义比普通实证主义更糟糕,因为它还容易受到某种神秘主义的影响。所以所有这些关于比如观察者的意识改变了现实的性质之类的东西,那最初并不在量子理论的糟糕解释中,玻尔的解释中。玻尔从未说过那些。Niels Bohr,他说了很多属于坏哲学的话,但他没说过那个。
所以在那个基础上建立起来的东西——一个试图确保单一宇宙世界观的基础——吸纳了实证主义,然后是工具主义和神秘主义,以及一种坏的经验主义,也就是”闭嘴去计算”,但还有纯粹的恐吓。我的意思是,从事那些不直接涉及在这个问题上表态的物理学分支的物理学家,不愿意在这个问题上表态,因为这会降低他们在同事、记者等人心中的地位,或者至少我认为会。好吧,也许我不该去做心理分析。我的意思是,我并不真正知道这些事情为什么会发生。
Brett: 得出这样的结论虽然惊人,但却是真实的——你看任何一个干涉实验,双缝实验,你就可以在此基础上得出存在多重宇宙的结论。但你也说过,多重宇宙的存在实际上是量子理论中最不令人惊讶和最不令人困惑的事情之一。量子理论中还有哪些更违反直觉的部分?
David: 是的,我认为纠缠要违反直觉得多。顺便说一下,我也说过——我以为你要问量子理论相比比如相对论有多违反直觉。我认为相对论比平行宇宙违反直觉得多,因为平行宇宙——他们拍电影的时候就把平行宇宙放进剧情里。但要把弯曲时空放进剧情里就非常困难了。
Naval: 我觉得《星际穿越》是唯一的一部——
David: 嗯,是的。但即便是那部,他们也回避了弯曲时空的部分。他们有黑洞。
Naval: 对,而且他们做了时间加速的部分。
David: 是的。所以,那是一个很难理解的理论,而且与我们的经验非常、非常不同。即使现在我们头顶上有了 GPS 系统,在测量我们的位置时,比不考虑相对论的情况精确了许多倍,人们仍然只想工具主义地接受相对论。但他们不会像在量子理论中那样陷入天马行空的幻想。那种事情似乎只在物理学中、在量子理论中才会发生,我无法解释。
Naval: 人类中心主义的吸引力似乎如此之强,以至于它现在以”观察者”的面目重新出现了——我们处于一切的中心。
David: 也许是这样,但从你自己举的例子来看,人们确实接受了现代天文学的结论。所以,在 20 世纪,我们发现连银河系也只是众多星系中的一个,人们感到震惊。但是,有思考的人的反应是去思考:“好吧,我错了,我们不仅是太阳系的中心,我们也不是宇宙的中心,我们不是任何东西的中心。“而现在他们被”在某种意义上,我们是一切的中心”这种说法震惊了。
自由意志与知识创造密切相关
Naval: 那么我们继续。这四条线索——四个理论——它们构成了,找不到更好的术语,一种万物理论。那么,我们现在可以讨论哪些基于其中两个或更多理论的涌现原则和概念?我们之前谈过一个。让我们把它说得更正式一些:知识。
David: 对,顺便说一下,这是已知万物的理论。所以我们知道的东西中有一些明显的缺失。
Naval: 比如,我们不理解意识,不理解创造力,我们也许理解知识如何增长,但不理解它从何而来。
David: 对,正是如此。所以我们不理解这些东西,它们不属于那四条线索,即《真实世界的结构》那本书所说的——我是说,它们是现实的一部分。所以,你的问题是?是四者之间的联系吗?
Naval: 对,它们之间的联系,比如知识、财富、乐观主义、纠错,还有各种各样的原则。我甚至怀疑乐趣标准、Taking Children Seriously、universal explainer 都是从这些中衍生出来的。
David: 哇,那可太多了。让我指出一点,四条线索中,我一个也没有发明。而它们之间的联系,即这四者之间的双向联系,我发明了一个。
Naval: 量子计算。
David: 对。所以《真实世界的结构》实际上更像是一种——你怎么称呼它——对这些东西的即兴发挥,对这些思想的发挥,这些思想是正确的,但没有被充分认识,它们之间的联系也没有被充分认识。所以关于多重宇宙中的自由意志,我认为我在《真实世界的结构》中所说的非常不充分,可能会产生误导。我不是要说多重宇宙解决了自由意志的任何问题。我只是把多重宇宙作为一个例子,来说明牛顿力学也不违反自由意志。这是不同的问题,而且无论世界是否是决定论的,你都可以理解反事实(counterfactuals)。顺便说一下,反事实和构造者理论(Constructor Theory)又是这些东西的另一个衍生。
Naval: 让我退一步。你在核心层面理解这些东西。它们指导你在日常生活中的行事方式。所以你不必具体谈论你个人的生活,但[有哪些]原则是你认为相对正确的,或者由于这四条线索而是我们今天最好的知识?
David: 所以关于自由意志的一个衍生就是,虽然我们不知道知识创造是如何发生的,但自由意志似乎与知识创造密切相关,所以我们有很多不了解的东西。但是,那种认为因为物理学的原因自由意志不可能存在的论点,是错误的。它误解了物理学。它误解的一点是——同样地,因为经验主义和那类错误——人们认为所有解释从根本上都必须归结为从第一性原理进行预测。所以如果你不能从第一性原理预测一个东西,那么你对它的理论就不可能是根本正确的。它可能是一种幻觉,而这就是人们对自由意志理论的看法。他们认为自由意志只是我们制造的一种幻觉,我们告诉自己的,但在最底层并不对应任何东西。嗯,热力学第二定律在最底层也不对应任何东西。
层级的涌现与高阶理论
你无法看着一个在空气中运动的原子,或一个在空气中运动的分子,说那个分子在不可逆地运动。它们中没有一个是不可逆的。它们全部在可逆地运动。然而,它们的组合却在不可逆地运动。对此有一个理论,一个严谨的科学理论,如果你试图违反它,你就是个妄人。这就是科学知识存在于多个涌现层级的一个例证——尽管涌现实际上只是高阶理论与低阶理论相关的众多方式之一。但总的来说,你可以称之为涌现。一旦你犯了这个错误,说没有自由意志,这对其他高阶理论可能产生严重后果,比如道德理论。
所以有些人说,“嗯,我们都是由原子组成的,我们无法控制那些原子做什么。因此,谋杀者和其他人没有区别。所以我们不应该审判谋杀者或把他们送进监狱,“等等。另一方面,那个论点的反面是,“嗯,因为一个谋杀者谋杀了人,所以他们的原子中,在他们原子的排列中,一定有某种东西使他们成为谋杀者。因此,他们基本上要永远被关在监狱里,因为我们可以覆盖基因组中的某些东西,但大多数时候我们是基因组的奴隶。“因为经验主义,因为没有自由意志,因为所有这些错误的和/或糟糕的哲学理论,我们最终得出了由垃圾论点支撑的政策。
当然,可能有——确实有——很好的论点支持让人出狱、把人关进监狱、在他们入狱时或出狱后对他们这样做或那样做。所有这些论点都是完全正当的哲学领域,有些人从事那种哲学研究。人可能错了,可能对了,可能对了一半等等,但基本上从物理学的角度对此妄下断言——该怎么说呢——是范畴错误(category error)。就是错的。
Brett: 有些人说,不把自由意志赋予人们是富有同情心的,正是因为你说的原因:谋杀者是受害者,他们无法控制自己的行为。有些人不一定从物理学出发论证,而是从某种常识心理学出发。也许不是常识心理学,而是某种心理学理论。
Naval: 对,我想——如果我理解正确的话,请纠正我如果我错了,我想理解这一点——我觉得你在说的是两件事。一件事是,某些理论只在特定层级上涌现。它们在更低的层级上是不可见或不可获得的。热力学就是一个例子。孤立地观察单个分子或原子,不会告诉你任何关于不可逆性或统计不可逆性的信息。这只能在宏观层面看到,即在更高的层面。所以,某些理论同样有效,它们无法被进一步还原,但它们在各自的层级上同样有效。
David: 即使它们可以被还原——热力学在某种程度上就是这种情况,或者也许化学是更好的例子。即使它们可以被还原到更低的层级,也可能存在只存在于更高层级的解释和规律。所以我们认为化学完全是由物理决定的。我们可以仅用物理来预测化学性质。基本上,用物理加上计算机来求解方程。此外,还存在像酸这样的东西,你可以建立关于酸的理论,你可以用酸来解释世界,而你无法用底层的物理原因来解释世界。
Naval: 无论你有多少计算能力?
David: 嗯,取决于你说的”无论有多少”是什么意思。
Naval: 在宇宙范围内,在宇宙的极限之内。
David: 在宇宙范围内,是没有希望的。可能存在比宇宙大得多的数学计算。
Naval: 我觉得你在说的是——所以人们指出,“嗯,这一切都是粒子碰撞,对吧?粒子碰撞解释了一切。所以因为粒子碰撞,这个人去谋杀了另一个人。“但你可以说,“不,有些东西必须在那样的解释层级上运作。因为你无法计算它,也因为你也无法理解它。“
自由意志与解释的创造
David: 是的,是后者。我说的正是后者。因为即使你能预测——而你其实不能——你仍然缺少解释。正如我在《无限的开始》中用多米诺理论所说的:你可以追踪每一块多米诺骨牌撞击另一块多米诺骨牌的过程,算出某一块骨牌永远不会倒下,于是你就预测了它。但你仍然对素数一无所知。你不会知道这是因为素数。存在一些多米诺骨牌的排列方式,没有人知道原因。未来一万年内也不会有人知道为什么某一块骨牌突出而其他的没有。有些情况我们永远也不会知道。这些情况都涉及不断增加骨牌的数量,但这并不改变一个事实:这些骨牌所做的事情存在一种解释,而那种解释与骨牌本身无关。
Naval: 那你愿意简要总结一下你对自由意志的最佳解释吗,还是我们直接跳过?
David: 这是一个带有预设的问题。嗯,我并没有一个真正的解释。我认为自由意志与创造新解释密切相关。因为我认为,在哲学层面上,我们从自由意志理论中想要得到的东西——而且在牛顿物理学或任何其他理论中似乎都不存在的东西——就是创造的概念,即某种新事物被创造出来的概念。在我们拥有牛顿物理学之前,只要哲学还存在,人们就会谈论宇宙是由上帝从无中创造的。在某些宗教或某些创世理论中,上帝从无中创造了宇宙。不是说他把某种东西变成了宇宙,比如泥土之类,有些宗教是这么说的,但有些说”上帝从无中创造了宇宙”。而常识性的民间心理学认为,人类在产生新的解释性想法时,就是从无中创造了某种东西。
这就是为什么我们会区分”人物 X 把人物 Y 推到了铁路线上,而他们当时都站在站台上”这两种情况:人物 X 是有意把人物 Y 推下站台的,还是人物 X 自己被人物 Z 推了?在这两种情况下,人物 X 都是因为物理定律而推动了人物 Y。但是,凭直觉,我们知道这两种情况截然不同。你可能很难轻易判断是哪种情况,因为目击者不会知道。所以你需要其他解释性知识,而不仅仅是观察,来告诉你到底是哪种情况。但到底是哪种情况,在法庭上被视为一个真实存在的事实。而我认为它确实是一个真实的事实,其关键在于:创造新的解释就是在创造一个真实的东西。当爱因斯坦解决了狭义相对论如何与引力相一致的问题,发明了广义相对论,并写下广义相对论的理论时,广义相对论这一理论并不是已经隐含在爱因斯坦的大脑中,或在一百年前地球上的世界中,或在大爆炸中。它从未在任何地方隐含过,直到爱因斯坦从无中创造了那种知识。
那就是自由意志的典型行为。那是爱因斯坦创造的行为,不是别人创造的,也不是盲目的自然力量创造的。是他创造的。所以人们有时会用另一个例子,我认为这个例子没有帮助——人们说,“想一个一到一百之间的随机数”,你试着想一个,然后把人们选择的数字标出来,它们远远不是随机的。如果你要一个随机数,没有人会说一或一百,等等。而试图模拟随机数生成器恰恰是自由意志的反面。那是用一个自由意志的反面例子来说明人们所说的自由意志是什么。爱因斯坦那天写下的东西是不可预测的,因为没有其他人处于他的问题情境中。
如果没有他的问题情境,说那需要花费宇宙年龄那么长的时间都是极大的低估。我的意思是,一个没有那种问题情境的人根本不可能想出那个解决方案。所以那才是自由意志的典型行为——从你自身中涌现出来的,但不可预测的行为。它不可预测的原因不是它是随机的,恰恰相反,它是随机的反面。因为它是那个解决方案。
Naval: 所以必须先有一个问题。问题需要一个解决方案。解决方案是通过创造性的方式得出的。解决方案创造了知识,知识是一个真实的东西,它在环境中具有因果效力,并使自身被复制到从 GPS 卫星到火箭等一切事物中,并持续扩展,从根本上改变了我们所处的宇宙的性质。
知识的创造与多重宇宙
David: 完美。我不可能说得那么好,或者至少不可能那么快。
Naval: 这把你在《真实世界的结构》中谈到的所有线索都结合起来了。因为我们有一个通用解释者在创造性地创造知识,然后使那种知识被复制到多重宇宙中。事实上,爱因斯坦越接近正确,相对论理论就越广泛地被复制到多重宇宙中,它在多重宇宙中几乎形成了一种知识的晶体结构。
David: 是的。因为其他宇宙中的其他爱因斯坦也会得出——其他宇宙也会得出相同的理论。嗯,几乎相同的理论。甚至在爱因斯坦不存在的宇宙中,最终也会有某人遇到那个问题并解决它。而当他们解决时,那就会与其他的合并在一起。
Naval: 他们只有在拥有那个问题的情况下才会解决它、才会创造那种知识。如果他们没有那个问题,如果是一台计算机被告知要解决什么问题,而那是另一个问题,它就不会解决这个问题。实际上,在爱因斯坦出现之前,人们甚至认为自己有问题吗?其他人认为存在问题吗?
David: 爱因斯坦不是唯一思考这个问题的人。在粗浅的层面上,其他人确实也有这个问题。事实上,正如人们常指出的,数学家 David Hilbert 实际上在听了爱因斯坦的一次讲座后,把爱因斯坦的方程写了下来。所以爱因斯坦告诉了他问题。他作为可能是当时世界上最伟大的数学家,回到家,拿出一张纸,写下了爱因斯坦的方程——爱因斯坦花了数年时间才推导出来的东西——但他不知道自己写的是什么。他不理解自己刚刚写下的东西。十九世纪的其他人曾出于不同的原因思考过弯曲空间的可能性,但 Gauss 据说实际上带着灯笼走上山顶,试图测量三角形的内角和是否等于 180 度。他做不到,因为所需的精度是十的八次方分之一。但十的八次方分之一并不是那么遥不可及。我常常想,现在是否有人能够用激光等工具实际做到这一点。
财富是转换的集合,而非数字
Naval: 那我们来谈谈知识吧。在你由这四条线索构成的世界观中,知识是什么?
知识是引发物理转换所需的信息
David Deutsch: 在我哲学漫游的过程中,我确定了几种不同的知识概念,我认为它们都指向同一个东西。只是从不同角度来刻画那个东西是什么,但我觉得它们归根结底是一回事。最近,多亏了 Constructor Theory,我发现最有帮助的理解是:知识是一种信息,它是物理转换发生的必要条件。所以,如果一种物理转换只有当某种特定类型的信息存在时才会发生,那么我就称那种信息为”知识”。这个定义很好地涵盖了基因中的知识和观念中的知识。此外还有一种储存起来的知识,比如在计算机或书本中的知识。知识可以被创造,但据我们目前所知,唯一能够创造知识的东西只有进化和人类思维。令人深思的是,地球上曾经存在过几个能够做到这一点的物种。而它们全都灭绝了,只剩我们。
Brett Hall: 那么有意思的是,你刚才提到的 Constructor Theory 框架下关于知识的概念,是围绕转换来定义的,而这正是你谈论财富时也使用的词。财富也是关于转换的。
David Deutsch: 一个实体——比如说一个人、一个国家,或者整个世界——的财富,用构造者理论的术语来定义,就是它能够(如果它愿意的话)实现的所有可能转换的集合。它永远不会把所有这些转换都实现,因为它们的数量是指数级的,甚至可以说多到指数级地不可穷尽。它必须拥有正确的问题。
Naval: 而如果它拥有正确的问题,就可以利用已有的知识加上物质资产来引发物理转换。如果它同时拥有正确的问题和正确的解决方案,财富就会增长。而如果在此过程中它需要做出更多的创造性跳跃来实现这一点,知识就会增长,知识增长的同时财富也在增长。
David Deutsch: 是的,没错。有一点需要强调的是:财富不能被量化为一个数字。财富是一个集合,一个转换的集合。所以,在这种根本意义上,我无法说 Mozart 比 Nathan Rothschild 更富有。Nathan Rothschild 拥有银行业的知识,这是他从无到有创造出来的;Mozart 拥有音乐之美的知识,这也是他从无到有创造出来的。
在这两种情况下,他们都是在先前的观念基础上加以改进——所有知识都是如此——但他们都创造了之前不存在的东西。但你不能说其中一个人拥有更多的知识,因为这些集合是交叠的。或者说,它们不交叠。
Brett Hall: 你刚才说了,事实上这已经是第三次了——Einstein 从无到有创造了广义相对论。Mozart 从无到有创造了他的作品。但我能听到反对的声音:“等等,他们并非从无到有。他们使用了已有的知识,把它们拼凑在一起,就像 ChatGPT 一样。所以广义相对论不过是 Einstein 在已有的、但尚未被用于物理学的几何学上做变奏。“那么你如何回应这些反对创造概念的人?
David Deutsch: 这其实是一回事——说他们”只不过”是在做那些事情。他们确实做了那些,他们把其他知识的片段组合在一起并对它们加以变异。但这并非他们所做的全部,因为如果你现在尝试做同样的事情,你是做不到的。这和说人类”不过是”原子是一样的道理。嗯,是的,人类不过是原子,树也不过是原子,诸如此类。而人类之所以重要,并不在于他们是原子。也许有一天我们会把自己的思维下载到硅基而不是碳基上。到那时也许人们会说:“哦,我们不过是硅。”
Brett Hall: 文明的存在本身就在呼唤一种解释。如果你要否认人类的特殊性,那就解释一下为什么创造文明的是人类而不是蜜蜂——
乐观主义原则
Naval: 或者换一种说法,仅仅凭借一些工具就发现相对论,其组合学上的可能性是如此巨大——这不再是猴子敲打字机了,而是猴子按计算器。它们也写不出相对论。这仍然是一件不可能的事。
我们谈了财富,谈了知识。好,我们来谈谈乐观主义。《无限的开始》以乐观主义原则开篇,或者说很早就进入了这个话题。这似乎是那本书的核心统摄原则——知识增长的无限开端。
所以乐观主义原则、纠错、宇宙解释者,所有这些似乎都连在一起。乐观主义原则是这一切中最重要的收获吗?是最重要的综合吗?是我们构建社会和安排生活所应依据的哲学基础吗?它又是从何而来的?
David Deutsch: 这个嘛,也许不该由我来说。确实有人告诉我,正是这个概念让他们读懂了那本书。我写书的时候并没有抱着这样的想法。对我来说,更重要的是认识论、创造在物理世界中的角色等等。
而乐观主义原则是从中推出的一个推论。但所有这些东西都是如此紧密相连。你几乎可以从任何地方出发,通过发现你最初感兴趣的事物其实处于一个更广阔的语境中,从而通达整体。这个更广阔的语境很重要。所以,换一种方式看待乐观主义原则:它其实就是 Constructor Theory 的基本原则。
除了我们人类,没有别的人在。如果你想一想那些能够被实现和不能被实现的物理转换的集合,在能够被实现的那些转换中,绝大多数——而且”绝大多数”还是一种轻描淡写——只有人才能实现。只有那些因为想要实现某件事而创造知识的人才能实现。
如果宇宙中没有人的存在,那么这个可被实现的事物集合将是微小的——而且”微小”同样是轻描淡写。它将几乎什么都没有。大概只有世界上几十种不同的恒星之类的,仅此而已。所以这是通往乐观主义理念的一个入口,因为你可以看到:如果某件事是可能的,那么要么它会自发地发生,就像恒星或黑洞那样;要么它需要被实现。而如果它需要被实现,那几乎可以确定它是通过知识来实现的。而这些知识要么是通过进化创造的,要么——从长远来看几乎可以肯定——是人创造的。因为就目前而言,我们在知识的精妙程度上可能还在追赶,或者刚刚超越了进化。
Naval: 所以我想你说的是,如果你看看无生命的宇宙,只有几种基本力以几种已知的方式在起作用。虽然它在巨大的尺度上不断复制,但那里的知识多样性相当低。之后出现了通过进化进行的知识创造,相对于人类而言,进化有很长的时间来运作。
所以它也展现了一些令人印象深刻的东西,比如草、树和人类本身。但那种知识增长的速率非常低。而你可以想象人类知识的增长要快得多。一旦它开始在星际间传播,它将成为解释宇宙结构所需要解释的首要事物。所以,我们正处于无限知识增长的开端,因为人类现在正在以远超以往任何事物的速率和多样性创造知识。而且因为我们是 universal explainers,任何能够被解释的事物,我们都能解释。任何能够被创造的事物,我们都能创造。嗯,我很乐观。
David Deutsch: 任何物理上可能的转换都可以被实现,而它需要知识。
Constructor Theory
Naval: 那么你试图用 Constructor Theory 解决的问题是什么?
David: 我们这里进入了物理学领域。物理学有好几个领域。研究基础物理学的人之间存在一种心照不宣的共识,即他们的目标是发现自然规律是什么——在那个基础层面上——物理学理论,或者更一般地说,科学理论,由这样一套说法构成:存在初始条件,存在运动规律,要理解宇宙,你必须理解初始条件是什么、运动规律是什么。其他一切都是派生的。如果这些人相信解释,他们也可以对解释讲出同样的故事。也许不那么令人信服。但问题在于,并非所有科学理论都是那样的。事实上,在某种意义上,大多数科学理论与那种模式相去甚远。我最喜欢的例子是达尔文的进化论。
构造者理论要解决的问题
它不是预测大象存在的理论。它是解释大象为什么存在的理论。而这个解释所做到的,超出了任何预测所能企及的范围。比如说,如果你能 somehow 用一台超级计算机模拟大象进化的非洲草原,然后它在某个时刻打印出一张大象的图片——它并没有解释发生了什么或为什么发生。而达尔文,他没有计算机,但他本可以拥有一台。如果 Babbage 加把劲的话,他本可以有一台。达尔文理解了这一切,尽管他没有计算机。所以,Constructor Theory 试图打破科学之间、知识之间等等的这种等级区分,试图建立一个统一的框架,在这个框架中,物理定律和一般的科学定律,甚至超越科学的领域,都可以被表达。
顺便说一句,在主流的基础科学观念中,还有一个明显得不能再明显的问题:它在时间上是不对称的。它说存在初始条件和运动规律,然后一切都从初始条件向前演化。但运动规律本身是时间对称的,所以你完全可以反过来,从宇宙的终点出发,说我们需要一个关于宇宙终点的理论。而宇宙的终点,我们希望,将包含大量知识,也许是无限多的知识。而根据定义,我们根本不可能形成关于那个的理论。我的意思是,那是整个造物中我们最不可能形成理论的东西。更糟糕的是,我们也可以这样表述主流理论:要理解世界,你必须先理解它在某年十月的某一天的状态,然后我们用运动规律向前和向后推演来理解宇宙的其余部分。
时间对称与解释的独立性
这可不行。我的意思是,这显然什么都解释不了。初始条件和运动规律在解释事物时居然有用,这其实是非常特殊的情况。碰巧它在解释太阳系等方面是有用的,在制造微芯片、理解如何制造药物和化学等方面也是有用的。所以这些确实是很大的领域,但与我们尚未了解的东西相比,这不算什么,而且我们已经知道的一些东西已经不采取那种形式了。比如热力学。
Naval: 可不可以说,一个好的解释应该是超越时间的?或者说相对超越时间的?它不应该那么依赖于”t”变量。这样说是否公允,还是跳跃太大了?
David: 它不应该依赖于某个特定的时间,是的,绝对如此。
Naval: 所以,就你谈论的初始条件和运动规律而言,它是高度受时间约束的。它看起来非常局限。你不能走得太远,因为根据定义,你不知道即将到来的知识的增长。而往回追溯又过于还原主义了。它退化为:“我们只知道那个时间点的情况”,我们并没有底层的解释。正如你所说,回过头来说我们理解十亿年前的宇宙,就像吐出一张大象的图片。解释应该适用于任何物种、任何时间。所以 Constructor Theory 在这个意义上,它试图更加超越时间,更少预测性,更具解释性。
David: 是的,它对预测没有立场,但它追求解释。有时候预测是解释的一部分,所以没错,它追求解释。Constructor Theory 的思路不是把一个物理系统孤立起来看待,仿佛其他一切都不存在,然后问:它会做什么?我们有这些方程式告诉我们它会做什么。有时候它们甚至能解释它会做什么。构造者理论做的是说:我们有一个系统,我们对它能做什么?能对它做什么?这里需要小心。在定义”能对它做什么”的含义时要谨慎,因为有些你可能会认为”能对它做什么”的事情,实际上意味着我们在一个更大的系统上操作。比如说,“能对一辆特斯拉做什么?”
一辆充满电的特斯拉可以以每小时一百英里的速度行驶,所以这是它能做的事情。能对它做什么?嗯,这个你得小心。比如,给它充电在 Constructor Theory 中不算”能对它做的事情”。因为在那里你必须说:“能对一辆特斯拉和一些电力做什么?“那么,能做的是:它可以把一个人从牛津运到伦敦。这是用那些东西能做的事情之一。但如果你要进行的转换涉及消耗其他资源,那它就是对事物和那个其他资源的转换。而 Constructor Theory 只处理事物和那个其他资源。
Naval: 所以它只处理与你所考虑的转换相关的完整系统?
David: 当你在谈论一个转换时,它处理的是该转换涉及的一切。因此,特别地,它处理孤立系统——就像主流观念基本上只处理孤立系统一样。但一般来说,它处理的是你想要进行的任何转换所涉及的一切。然后你可以有一些定律说某些转换是不允许的,无论你做什么——所以如果你有一辆特斯拉,你想让它以光速的 1.1 倍行驶,我们可以说一辆特斯拉和任何东西都不能达到光速的 1.1 倍,这就是构造者理论对”你不能超越光速”的表述,而这其实是直觉性的表述。“你不能超越光速”非常简单,每个人都能理解。但要用现有基础物理学的方式来完整表达这层含义,实际上非常困难,因为虽然你可以轻松写下一个诸如”如果质量’m’被给予某个能量”之类的陈述,但要以你能做的事情来实际预测它,你就必须拥有一个关于你能做的所有可能事情的理论。
原则与定律的区分
关于光速恒定性的真正定律是一条超越性的定律。它是我所说的物理原则而非定律,我区分了原则和定律。物理原则宣称对尚未发现的定律做出断言。所以如果有人发现了一种新的基本粒子、暗能量等等,关于光速的原则会说暗能量也不能以超光速运动。实际上这是个不好的例子,因为在某种意义上它是可以的。那就改成暗物质吧。我和我的同事 Chiara Marletto 以及我们这些从事 Constructor Theory 研究的人认为,所有现存的物理定律要么可以用构造者理论的术语重新表达,要么是可以被精确表达为构造者理论术语的那些理论的近似。
我们还认为,像热力学这样的理论——目前只是以传统术语近似表达的——可以用构造者理论的术语精确表达。原因同样是,在构造者理论的术语中,你的定律将涵盖那些你可能需要对某物做某事所涉及的东西。所以你可以对你可能需要用于某事的事物做出一般性陈述,而禁律会说,无论你引入什么,你都无法做到如此这般。比如,你无法违反第二定律。
Naval: 那么,除了这种看似整体性或统一性的思路之外,构造者理论是否有能力解释那些传统物理学无法解释的东西?
David: 有的。Chiara Marletto 有一个构造者理论版本的热力学,它解释了比如说第二定律在微观层面上成立意味着什么。我们之前说过,观察一个原子,你无法判断它是可逆的还是不可逆的。所以,在构造者理论中我们能做的——她就此写了一篇论文——你可以回到大约一百年前发明的一个热力学版本,叫 Carathéodory 热力学,它依赖于绝热过程与非绝热过程之间的区分。他没有试图用物理客体来表述这一点。他只是直接规定某些过程是绝热的,某些不是。绝热过程具有这些性质,非绝热过程具有那些性质。由此你可以定义功与热的区别,可以定义第二定律、第一定律。
顺便说一句,Chiara 的理论的一个妙处在于,它用信息来表述第一定律,而普通统计热力学只能用信息来表述第二定律。但 Chiara 的理论连第一定律也能做到。至于第三定律,我们仍然不清楚该怎么理解。比如,对于一种转换不可能意味着什么,我们自己在思想上还没有真正搞清楚。
Brett: 现在每当我听到”能”或”不能”这两个词,我就会自动联想到构造者理论。所以,当我们听到乐观主义原则——如果存在一种恶,如果存在一个问题,那么只要拥有正确的知识,我们就能解决它。这就是从你的工作中自然衍生出来的乐观主义观点。现在有一场运动,你可能注意到在 X(即 Twitter)上很活跃,就是技术乐观主义运动和自称”加速主义者”的群体。对此,我有百分之九十九是认同他们的,但他们比你多出来的东西——或者也许是少掉的东西——是给整件事附加了一种必然性的意味。也就是说,不是”我们能够解决这些问题、事情可以变得更好”,而更像是一种意志的宣示,或者说它们必然如此。你知道的,回顾过去,事情确实变得更好了。这是不可避免的。关于我们所处处境的这种必然性,你有什么想说的吗?
David: 嗯,当然有。我认为把进步视为必然是非常危险的。它会导致人们忽视危险。会发生什么取决于我们自己。它不取决于物理定律、上帝或别的什么东西。我们可能搞砸。如果我们做出错误的选择,我们可能毁灭自己。正如我之前所说,除了我们人类自己,没有人会来拯救我们。我们可能把一切都做错,而在过去我们经常把一切都做错。所以这种乐观主义并没有阻止雅典的衰落,也没有阻止佛罗伦萨的衰落等等,类似的力量也不会阻止我们文明的衰落。我们必须自己去做。
如何创造一个更好的世界
Brett: 是的,似乎在某种意义上,技术乐观主义和进步必然论本身内置了一种悲观主义,因为它说的是我们只是在搭便车,我们没有选择可做,所以无论那台伟大的机器是什么——智能机器、超级智能——它正在把我们拖向某个更好的地方,而人只是附带品。但我认为这同时也误解了人的普遍性。
了解更多关于构造者理论的信息:http://constructortheory.org
Naval: 这与我的两个问题密切相关——把话题拉回到个人层面,带有一些哲学意味。你可以使之具体到个人,也可以不——但如果你是当今世界中的一个个体,如果你想有所作为来创造一个更好的世界,这些原则以及《真实世界的结构》中的四条线索应该如何引导你的思考?你应该做什么来创造一个更好的世界?然后,为了自己过上更好的生活,你又该做什么?
David: 好,这其实是两个问题,而不是一个问题。不过我觉得这个表述本身就已经有点误导了,因为我认为,当世界的善恶在你的问题情境中占据重要位置时,你就会想要去创造一个更好的世界。比如 Norman Borlaug,他发明了绿色革命之类的成就。对他来说,他的问题就是让农业更高产。这本质上就是一个关于世界的问题。所以他本质上——他进行创造性思考的对象就是整个世界。他必须考虑他想到的植物改良方案是昂贵还是便宜,是否容易受病害影响等等。所以他要解决的是那一整系列的问题。
而 Faraday,他也通过发现电磁感应拯救了世界,但他并没有这个意图。他试图解决的是关于电、磁、世界是如何构成的,以及世界的不同线索如何相互影响等等问题,属于基础物理学的层面。我想他不可能预见到,发电机在一百年后会成为生死攸关的事情。他绝对不会一开始就说:“我要造一台机器,一百年后会关系生死存亡。“他确实做到了这一点,但他并不是有意为之。他是在全力以赴地解决自己的问题——顺便说一句,那碰巧也是那个时代最重要的科学问题之一。但他甚至都不是有意为之的,他也不是一开始就说:“首先我要找到这个时代最有科学价值的问题,然后全力以赴投入其中。“事情不是这样的。结果那个问题确实具有重要的科学意义,但他想要解决它是因为他对它感兴趣。他对那个具体的事物感兴趣,想知道它是否行得通。
我想 Newton 那句名言——说自己是个在海滩上散步的男孩,捡起那些看起来特别漂亮的鹅卵石——我认为他说的是同一回事。他的性格很古怪,谁知道他想对世界做什么。大概没什么好事吧,但在他的科学发现中,正如他自己所说,他在试图解决那些他认为有趣的问题。我认为在日常生活中,任何偏离这一点的做法都是危险的。我不想坐在这里给人建议,原因有很多。
Naval: 但你可以给一个也许没有走上物理学道路的年轻的 David Deutsch 一些建议。
David: 好吧,我更愿意告诉年轻的 David Deutsch 他具体想知道的那些事情。追随别人的问题,或者追随一个在自己看来重要但并非在自己心中占据重要位置的问题,是危险的。当我说危险的时候,并不是说这样做一定带来不幸,正如做正确的事,在我看来也不一定带来幸福。两者都没有保证。没有任何事是有保证的。我们可能做了正确的事却仍然遭遇灾难,也可能做了错误的事却获得了成功。
所有这些情况都会发生,但如果你想解释事物是如何通过”思考”这一过程产生的,那就会得出某些结论,比如乐观主义,以及如你早先所说,追随乐趣。这是看待问题的另一个角度。我认为追随乐趣正是 Norman Borlaug 所做的事。正是 Faraday 所做的事。正是 Newton 所做的事。我想大概也有人没有这样做,却仍然解决了重要问题,但那只是侥幸。
术语表
| 原文 | 中文 |
|---|---|
| Babbage | Babbage(数学家、计算机先驱 Charles Babbage) |
| behaviorism | 行为主义 |
| Brett Hall | Brett Hall(播客联合主持人) |
| Carathéodory | Carathéodory(物理学家、热力学公理化奠基人 Constantin Carathéodory) |
| category error | 范畴错误 |
| Cavendish | Cavendish(物理学家 Henry Cavendish) |
| Chiara Marletto | Chiara Marletto(David Deutsch 的同事,构造者理论研究者) |
| Constructor Theory | 构造者理论 |
| counterfactuals | 反事实(反事实条件句) |
| curved spacetime | 弯曲时空 |
| dark energy | 暗能量 |
| dark matter | 暗物质 |
| David Deutsch | David Deutsch(物理学家、《无限的开始》作者) |
| David Hilbert | David Hilbert(数学家,写下爱因斯坦场方程但未理解其含义) |
| Dawkins | Dawkins(生物学家 Richard Dawkins) |
| double slit experiment | 双缝实验 |
| Eddington | Eddington(天文学家 Arthur Eddington) |
| Einstein | Einstein(物理学家 Albert Einstein) |
| emergence | 涌现 |
| empiricism | 经验主义 |
| entanglement | 纠缠(量子纠缠) |
| Erasmus Darwin | Erasmus Darwin(Charles Darwin 的祖父,早期进化思想提出者) |
| Faraday | Faraday(物理学家、电磁感应发现者 Michael Faraday) |
| folk psychology | 民间心理学 |
| four strands | 四条线索(指《真实世界的结构》中的四条核心理论线索) |
| Gauss | Gauss(数学家 Carl Friedrich Gauss,曾尝试测量弯曲空间) |
| general relativity | 广义相对论 |
| hrocentrism | 人类中心主义 |
| instrumentalism | 工具主义 |
| interference experiment | 干涉实验 |
| justified true belief | 得到辩护的真信念 |
| Karl Marx | Karl Marx(哲学家、经济学家) |
| Lamarckism | 拉马克主义 |
| Lysenkoism | 李森科主义 |
| many universes | 多重宇宙 |
| Matjaž Leonardis | Matjaž Leonardis(David Deutsch 的同事) |
| Mendel | 孟德尔(遗传学之父 Gregor Mendel) |
| Mozart | Mozart(作曲家 Wolfgang Amadeus Mozart) |
| multiverse | 多重宇宙 |
| Nathan Rothschild | Nathan Rothschild(银行业家族成员) |
| Naval | Naval(播客主持人) |
| Newton | 牛顿 |
| Niels Bohr | 玻尔(物理学家、量子理论奠基人之一) |
| Norman Borlaug | Norman Borlaug(农业科学家、“绿色革命”之父) |
| parallel universes | 平行宇宙 |
| Popperian epistemology | 波普尔认识论 |
| positivism | 实证主义 |
| problem situation | 问题情境 |
| qubit | 量子比特 |
| room-temperature semiconductor | 室温超导 |
| Searle | Searle(哲学家 John Searle) |
| special relativity | 狭义相对论 |
| The Beginning of Infinity | 《无限的开始》 |
| The Fabric of Reality | 《真实世界的结构》 |
| thermodynamics | 热力学 |
| Turing machine | 图灵机 |
| universal explainers | 宇宙解释者 |
| universality of computation | 计算的普遍性 |
| universality of explanation | 解释的普遍性 |
此文章由 AI 翻译(miaoyan_chunk_translate)