Consciousness is a mathematical pattern: Max Tegmark at TEDxCambridge 2014

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Translator: Maria K. Reviewer: Denise RQ Consciousness - we've all wondered about the mystery of consciousness. But there are really two separate mysteries, as the famous philosopher David Chalmers has emphasized. First, there is the mystery of how our brain processes information, which David calls, "the easy problems of consciousness," and even though they're actually very hard, we've made huge progress in recent years building computers that can play chess, that can process natural language, that can answer quiz show questions, that can drive cars, and so on. But then, there is a second mystery of consciousness that David calls, "the hard problem of consciousness." Why do we have subjective experience? If I'm driving a car, I'm having a subjective experience of colors, of sounds, emotions, thoughts. But why? Does a self-driving car have any subjective experience? Does it feel like anything at all to be a self-driving car? Raise your hand if you have any sort of background in physics. Uh, some wolves in sheep's clothes here tonight. I am a physicist, too. from my physics perspective, a conscious person is simply food rearranged. So, why is one arrangement conscious and not the other? Moreover, from my physics perspective, food is just a bunch of quarks and electrons arranged in a certain way, so why is one arrangement, like your brain, conscious while another arrangement, like a bunch of carrots, not? This physics perspective goes against the idea that philosophers like to call dualism, that conscience is explained by adding something beyond physics, some extra ingredient, a life forest, elan vital, or a soul. This idea of dualism has gradually lost popularity among scientists, because if you were to measure what all the particles in your brain are doing and find that they perfectly obey the laws of physics, then that would mean that this purported soul is having absolutely no effect on what you're doing. Whereas, if you were to measure instead that these particles in your brain are not obeying the laws of physics, because they're being pushed around somehow by the soul, then that brings the soul into the domain of physics. Because you can now just measure all these new forces the soul is exerting and study the properties physically of it just as you would study the properties of a new field or a new particle like a Higgs boson. From my physics perspective, a bunch of moving quarks and electrons are nothing but a mathematical pattern in space-time. A bunch of numbers specifying positions, and motions, and various properties of these particles like electric charge, and other numbers you can see in this table here. From this physics perspective, that hard question of consciousness that David Chalmers posed gets transformed into a form I like much better. Because we can now start, instead of starting by asking the hard question of why some arrangements of particles feel conscious, we can start with a hard fact. That some arrangement of particles like your brains, are conscious; and not others. We can ask, "What are these special physical properties these arrangements have to have to be conscious?" Neuroscientists have had a lot of progress recently, including right here, in figuring out what subjective experiences correspond to different neuron firing patterns in your brain, which they call neural correlates of consciousness. I want to generalize this idea and ask what subjective experiences correspond to different kind of particle motions, which you might call physical correlates of consciousness. But before that, this whole physics perspective really begs the question: how can something as complicated as consciousness possibly be explained by something as simple as particles? I think it's because consciousness is a phenomenon that has properties above and beyond the properties of its particles. We physicists call phenomena that have properties above and beyond those over their parts: emergent phenomena. Let me explain this with an example that's simpler than consciousness: wetness. A water droplet is wet, but an ice crystal or a gas cloud is not wet even though they are made of the exact same kind of water molecules. So, it's not the molecules, it's not the particles that make the difference; it's the pattern into which they are arranged. So it makes no sense whatsoever to argue about whether a single water molecule is wet or not, because the phenomenon of wetness only emerges when you take a vast number of water molecules and you arrange them in this special pattern we call liquid. So solids, liquids, and gases are all emergent phenomena in that they have properties above and beyond those that are particles, they have properties that the particles don't have. I think that just like solids, liquids, and gases, consciousness too is an emergent phenomenon, because, if I drift off into sleep, and my consciousness goes away, I'm still made out of the exact same particles. The only thing that changed is the pattern into which my particles were arranged. And if I were to freeze to death, then, my consciousness would definitely go away, but I would still consist of exactly the same particles. It's just that they were now rearranged to make me rather an unfortunate pattern. (Laughter) So we physicists love studying what happens when you take a lot of particles, and you put them together in different patterns. We love to study what properties emerge; and often, these properties are numbers that we can just go out and measure like how viscous something is, how compressible it is, and so on. We can use these to classify stuff. For example, if some stuff is very viscous so it's rigid, we call it a solid. Otherwise, we call it a fluid. If the fluid comes really hard to compress, we call it a liquid. Otherwise, we call it a gas or a plasma depending on how it conducts electricity. So, could there be some other number like this that quantifies consciousness? That's exactly what the neuroscientist Giulio Tononi thinks. He's defined such a quantity that he calls integrated information, Phi, which is basically a measure of how much different parts of a system know about each other. He and his colleagues have managed to measure a simplified version of this quantity using EEG after magnetic stimulation, and it's worked really, really well this consciousness detector of theirs, managing to identify consciousness in patients that are awake or who are dreaming, but not patients who are anesthetized Or who are in deep sleep. They even correctly identify consciousness in two patients with Locked-in syndrome, paralyzed, and totally unable to communicate in any way. So this is potentially very useful for doctors in the future. But I want to generalize this now to non-biological systems, as well. For example, we can ask the question of some future super-intelligent computer: is it conscious or not? To do this let's look at systems, let's look at states of matter with emergent phenomena that have something to do with information. To store information has to have the physical properties that have some states that are just very long-lived. Most solids will do for this, like my wedding ring, for example; if I engrave my wife's name in this medal, this information will still be there years from now, but if I instead engraved it in a puddle of water, the information will be lost within seconds. For a more fun example, let's look at computronium, which is the name given to the most general substance that can compute. There is not enough for it to be able to store information, but it also has to be able to process information. The laws of physics have to make a computronium change over time in a sufficiently complicated way that it can implement arbitrary information processing schemes. Let's define perceptronium also as the most general substance that's conscious, that has a subjective experience. And let's ask what properties does this perceptronium have to have? I think that it has to have, first of all, the same properties as computronium, but at least one more property that I want to get back to. But first, we just have to ask ourselves how can something as physical as a bunch of moving particles possibly feel as non-physical, as our consciousness? I think it's because our consciousness is a phenomenon that doesn't only have properties above and beyond those of its parts, but also has properties that are rather independent of its parts, independent of its substrate, independent of the stuff that it's made of. We actually have other phenomena in physics that are also substrate- independent in this sense. For example, waves. Waves have properties like wavelength, and frequency, and speed, and we can describe them really, really accurately with equations, even without knowing what kind of substance are waves in. So these waves take their life on their own above and beyond the substrate. For example, a wave can cross a lake even though the individual water molecules are just going around in tiny little circles. Computation is also rather substrate-independent, because Alan Turing famously proved that any computation can be performed by any substance as long as it has a certain minimum set of abilities to compute. So this means that if you were a self-aware computer game character trapped in your game-world in some game in a future super-intelligent computer, you will have no way of knowing whether you are running on Windows, a macOS or some other platform, because you would be substrate-independent. I think consciousness is the same way. I think consciousness is a physical phenomenon that feels non-physical, because it's just like waves and computations. More specifically, I think that consciousness is the way information feels when it's been processed in certain complex ways. So this means that it's substrate-independent, and this also means that is only the structure of the information processing that matters, not the structure of the matter that's doing the information processing. In other words, we have the laws of physics. They govern these motions of stuff. If the motions obey certain principles, we can get these emergent phenomena of computation: information processing. But now we can take this idea to another level. We can say, "Suppose this information processing obeys certain principles, then we can get higher level emergent phenomena: consciousness. What would these principles be? We, of course, don't know what sufficient conditions are for a physical system to be conscious, but let me tell you about four necessary conditions that I have explored in my work. I've already argued that consciousness is the way that information feels when it's being processed, so for a physical system to be conscious, then, first of all, it has to be able to store information like a computer, and it has to be able to process information like a computer. But also, I think, it needs to be relatively independent of the rest of the world, because otherwise, this conscious entity would not feel like it had any sort of independent existence at all. And finally, like Giulio Tenoni argued, I think that this system has to be relatively integrated into a unified whole, because otherwise, if you have two independent systems, then this is going to feel like two separate conscious entities rather than one. What do we make of this idea then, that consciousness is the way information feels when being processed by particles moving around in certain ways? Is it good news or is it bad news? I think it's good news. If someone argues that it's bad news because they don't like the idea of being just a bunch of particles, then I object to their use of the word 'just, ' because let's face it: you guys are not just a bunch of particles. Your brains are the most beautifully complex space-time patterns in our entire known universe. And moreover, as I've argued, your consciousness has properties above and beyond those of your particles that are in fact rather independent of your particles. So it's not the particles, but the patterns that really matter. I also think this is good news because it means that in our quest to understand consciousness, we are not stuck waiting for some missing ingredient. This is really about asking the right question. And instead of asking, "Ah, we're stuck, you know? So what missing thing can we blame our failure on?" Let's instead ask the question, "Might it be, despite how it all seems, that we already have all the ingredients we need to solve our problem?" I think this question is actually a very powerful one, both in science and in our every day lives, and I hope you'll try it out yourselves. For example, people used to ask, "What new undiscovered force prevents the Moon from falling down?" "Nothing," Isaac Newton came along and said. "The Moon obeys the same laws of physics," he said, "as everything else," and this bold idea, of course revolutionized modern science. Then you can ask, "What is it that breathes life into a clump of atoms and makes it alive?" Again, scientists have discovered that the answer is, "Nothing," because the difference between a dead bug and a living bug isn't that you add some sort of secret life sauce to it. It's simply the pattern into which the particles are arranged that matters. Then you could ask, "What breathes fire into an information processing system and makes it conscious?" I've already argued here tonight that again, the answer is, "Nothing," because what matters is simply the structure of the information processing. And finally, if our entire cosmos turns out to be perfectly described by physical laws like modern physics suggests, then we can ask Stephen Hawking's famous question, "What is it that breathes fire into a mathematical structure and makes a universe for it to describe?" I've argued the consciousness is a mathematical pattern which means that some mathematical patterns simply are conscious, which means that the answer to this question is also, "Nothing," because the only difference then between a structure that exists only mathematically and one that also exists physically is not the presence of some sort of physical existence, magical, angel dust. It's simply its structure. So here is the idea that I would like you all to take with you tonight: instead of asking what do we need to add to physics to explain consciousness, consider the idea that maybe we don't need to add anything at all; that because consciousness is simply the way information feels when it is being processed and turn in complex ways by particles moving around in very special patterns. And let us instead ask, "What are these patterns? What are their physical properties?" Because it's not the particles, but the patterns that really matter. Thank you. (Applause)
Info
Channel: TEDx Talks
Views: 691,657
Rating: 4.7716117 out of 5
Keywords: tedx talk, Consciousness, tedx, TEDxCambridge, Subjective Experience, ted, Information Processing, Max Tegmark, ted talk, TEDx, tedx talks, Integrated Information, Neuroscience, Emergence, ted talks, Physics, ted x, Emergent Phenomena
Id: GzCvlFRISIM
Channel Id: undefined
Length: 16min 37sec (997 seconds)
Published: Mon Jun 30 2014
Reddit Comments

"Conscious" is used as "a human body which can track a finger with its eyes and can answer correctly when asked how many fingers are raised" in certain professions or as "didn't wake up screaming during the operation". Math/physics/computer science people coming up with formulas for what kind of patterns/matter organization/computations are conscious aren't doing anything different from this type of usage.

They simply establish more sophisticated criteria by which to distinguish between etalons: the functioning brain, the sleeping brain, a cabbage.

This isn't touching the hard problem at all, which wants to talk about what consciousness is really, that is, apart from all the ways in which the word is used in practice, so, a priori apart from the practical success of mathematical formulas proving able to distinguish between what we usually call "conscious" and "unconscious".

👍︎︎ 52 👤︎︎ u/pocket_eggs 📅︎︎ Aug 16 2014 🗫︎ replies

I'm confused.

Does a majority on this board not believe that the entirety of your thoughts are computed by your brain?

👍︎︎ 20 👤︎︎ u/HadSexWithYourCat 📅︎︎ Aug 16 2014 🗫︎ replies

Considering we have a factorial of 100 trillion possible arrangements of synapses in our pattern, I don't see us capturing it easily in an easily described equation.

That doesn't mean the equation doesn't exist, but we might not have the hardware to interpret or solve it.

👍︎︎ 8 👤︎︎ u/zyzzogeton 📅︎︎ Aug 16 2014 🗫︎ replies

Max Tegmark here: contrary to what's said on this thread, I'm certainly not arguing that consciousness is an illusion! (In contrast, Daniel Dennett does.) IMHO, consciousness is the only thing we really have first-hand knowledge about. I'm instead arguing that it's produced by physical processes (particles moving around, etc.), not by the addition of some non-physical extra ingredient such as an elan vital or soul.

👍︎︎ 3 👤︎︎ u/MaxTegmark 📅︎︎ Aug 19 2014 🗫︎ replies

oh no. tedx.

great way to circumvent peer review and all that.

👍︎︎ 12 👤︎︎ u/nukefudge 📅︎︎ Aug 16 2014 🗫︎ replies

reminds me of that time Ted freaked and attempted to censor a real foray into the nature of consciousness

👍︎︎ 11 👤︎︎ u/titute 📅︎︎ Aug 16 2014 🗫︎ replies

Mathematics, in its abstract nature, can be used to describe just about anything, but saying that what you're describing is itself the abstract description is just flat wrong unless that something itself is an abstraction. The circle I draw on a whiteboard is not the parametric formula for the circle, and consciousness is not any mathematical system which attempts to describe it.

👍︎︎ 6 👤︎︎ u/Birch_Tree 📅︎︎ Aug 16 2014 🗫︎ replies

The idea of consciousness as an emergent property is a powerful one that I've been contemplating for a while. While everything around us that we can measure is physical it is possible there are levels of existence that are non-physical which cannot be measured as easily. So consciousness could really just be a projection of a higher dimensional object into lower dimensional space. Like making a 2-dimensional horizontal slice through a donut and only seeing two separate circles. We know we are conscious, and we are fairly certain that there is a physical world, yet we don't have a broad enough perspective to see how they are connected and that they are really part of the same thing.

This is my main problem with Tegmark's mathematical universe theory: math is a symbolic system of description developed by observing the physical world for the purpose of explaining the movements of the physical world. Yet we cannot penetrate through the fabric of that world to actually see whether it is created by math rather than just being described by it. It could very well be that mathematics such as they are break down or become contradictory if it is attempted to use them to describe these other dimensions. Perhaps reality is made of information, as Tegmark suggests, but rather than being digital information it is purely analog.

👍︎︎ 6 👤︎︎ u/ExcaliburPrometheus 📅︎︎ Aug 16 2014 🗫︎ replies

Given the plethora of bad explanations of consciousness that receive massive upvotes, my guess is that there are tons of people out there really hoping that the hard problem of consciousness just disappears.

It's not that this research isn't useful, but it doesn't answer what consciousness is.

👍︎︎ 2 👤︎︎ u/Socrathustra 📅︎︎ Aug 17 2014 🗫︎ replies
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