Are We Thinking Correctly About AI Intelligence?
Are We Thinking Correctly About AI Intelligence?
Introduction
When an LLM answers a question, is it reasoning like humans, or just producing text that looks like reasoning? The distinction isnāt just philosophical, this determines what we can trust AI to do, how closely we need to supervise it, and ultimately what its real-world impact will turn out to be.
Melanie Mitchell at the Santa Fe Institute argues that we lack adequate methods for measuring machine cognition, and that AI is a form of āalien intelligenceā that operates through non-human cognitive mechanisms. In this episode of The Joy of Why, Mitchell tells Steven Strogatz how methods that psychologists use to study cognition in other kinds of āalien intelligenceā ā babies and animals ā can be adapted to probe AI, and she lays out six principles for better assessing machine cognition. Their conversation ranges from the challenge of interpreting whatās happening inside these systems, to recent AI-assisted breakthroughs in mathematics, to why a math-performing horse from the early 1900s offers a cautionary tale for how we assess intelligence.
Listen on Apple Podcasts, Spotify, TuneIn or your favorite podcasting app, or you can stream it from Quanta.
Transcript
[Music plays]
STEVE STROGATZ: Iām Steve Strogatz.
JANNA LEVIN: And Iām Janna Levin.
STROGATZ: And this is The Joy of Why.
LEVIN: A podcast from Quanta Magazine where we explore some of the biggest unanswered questions in math and science today.
STROGATZ: Well, hello, hello. This is unsurprisingly yet another show about AI.
LEVIN: Iām telling you, itās a topic people canāt seem to get enough about, and Iām becoming reluctant to pontificate anymore. Itās changing too quickly.
STROGATZ: Itās true. It is moving very fast. Anything we say could be obsolete by next week.
LEVIN: Oh yeah.
STROGATZ: As we speak, itās July 23rd, 2026.
LEVIN: And it feels different to me than it did in July 23rd, 2025, thatās for sure.
STROGATZ: Mmm. Thatās actually relevant, this talking about timelines, because our guest today, Melanie Mitchell, who is a cognitive scientist and computer scientist at Santa Fe Institute, is someone that we had on the show previously. She and I spoke about five years ago, and that is before ChatGPT.
LEVIN: Right. And was she interested in AI then?
STROGATZ: Oh, yes.
LEVIN: Okay, so it wasnāt just cognitive science.
STROGATZ: Absolutely. I, I mean, yes, I should say Melanie has been thinking about AI for a long time, and sheāll tell us about that. But the thing thatās gonna be so interesting, I feel, for us to discuss today is, um, Melanieās point of view, which is to think about the problem of AI from the standpoint of fields like developmental psychology. Like, how does a baby or a young child get to be as intelligent as they soon become?
LEVIN: Oh, I think thatās so interesting ācause weāre so excited about the artificial mind when we have very little comprehension of the human mind.
STROGATZ: Exactly.
LEVIN: Right, so weāre trying to skip a step.
STROGATZ: Well, thatās right. And not just human mind, but also animal minds, right? So thereās the field of comparative psychology where we look at intelligence in birds or dogs or dolphins, whatever. Um, we have a lot to learn about thinking about intelligences other than our own adult human intelligence.
LEVIN: Yeah, and this idea that weāre going to somehow simply understand a mechanism to generate an artificial intelligence when we, again, donāt understand the mechanism that brings a baby to have its level of intelligence when itās born or when itās developing. I mean, I think thatās really interesting to combine those two. So Iām looking forward to this one.
STROGATZ: Well, great. So then letās dive in with Melanie Mitchell. Here she is.
[Music plays]
STROGATZ: Hi there, Melanie.
MELANIE MITCHELL: Hey, Steve.
STROGATZ: Very excited to see you again. This is gonna be fun. We talked a few years ago back when this show was called The Joy of X, and I think you may be our first return champion.
MITCHELL: Oh boy, Iām honored.
STROGATZ: Well, you should be. And, I have you back because so much feels like itās changed in artificial intelligence. We talked, I think it was maybe 2021, and ChatGPT tidal wave hit the world at something like November of 2022. Is that right?
MITCHELL: Thatās right.
STROGATZ: So everybody knows that AI is everywhere. We seem to be talking about it. People are worrying about it. Some people are excited about it. Itās certainly very widely used. I suppose Iād like to start by asking, what has surprised you the most about the past few years?
MITCHELL: Oh, wow. So much has surprised me. Just the thought that we could get to where we are now just by training these models on huge amounts of human-generated language and images and so on. I never wouldāve dreamed it. So Iāve just been really surprised by whatās happened in AI. Also just the kind of polarized reaction that appeared in the AI community and society at large, I think, has been a little surprising to me, too.
STROGATZ: Polarized in terms of, like, sometimes people will distinguish AI doomers and AI optimists. Is that the kind of thing youāre talking about?
MITCHELL: Thereās that dimension, then thereās the dimension of people who believe that AI is smarter than humans and people who think that itās far, far from being anywhere near human-like intelligence. I guess related to that is sort of the love-it and hate-it. And these are separate dimensions, but maybe theyāre correlated.
STROGATZ: Well, and right, and the love-it and hate-it can be also tied to things like the impact on the environment versus, you know, the economic prosperity for certain companies, but then again, what about job loss? Thereās so many dimensions to this.
MITCHELL: Oh, thereās so many, yeah.
STROGATZ: But the thing that I really wanna focus on with you today is complex systems, cognitive science, artificial intelligence. You have a lot of different hats but Iām really very curious about the work that youāve been doing to look at AI through the lens of either developmental psychology, like the way that we try to think about the alien intelligence of human babies, or comparative psychology with the alien intelligence of our pet dogs or smart birds or dolphins or that kind of thing. I mean, itās a really interesting take on this alien intelligence of AI.
MITCHELL: Yeah. Many people have described AI as an alien kind of intelligence ācause itās very different from humans, even though itās been trained on human language and books and everything on the internet and so on. But the way that these systems work, the way that they learn, the way that they reason, the way they do what they do is just really different from the way humans do it.
And this theme was actually picked up by people in developmental psychology, especially, Mike Frank at Stanford, who wrote this paper about how AI people should take some inspiration from the study of babies and young children, developmental psych. And then other people have extended that to, what about animal intelligence? And I guess one of the things that people in cog sci have been urging is that people in AI actually adopt some experimental methodologies that would make AI more like a science.
STROGATZ: Yeah, I really like this point of view, and I think it may not be so familiar to our listeners. I have to admit it wasnāt that familiar to me. You know, I never studied cognitive science, or never took a course in developmental psychology, and people in those fields have been thinking about these issues for⦠Well, I donāt know. You tell me.
MITCHELL: Yeah, at least 100 years.
STROGATZ: Yeah, 100 years now. Wow. And I was thinking on the way over we constantly talk about AI as a black box. That we canāt read the weights on the neurons very easily, or even if we can, we donāt know what they tell us. But for that matter, couldnāt you say that our own intelligence is in a lot of ways a black box?
MITCHELL: Absolutely. I mean, we have different ways to penetrate the black box. One is neuroscience, where we actually stick probes into neurons, or we use fMRI or other imaging techniques. Thereās also psychology, where you actually look at just the behavior of a person or an animal, and try and infer from that underlying mechanisms.
And those two traditions have, for a long time, been quite separate. But the field of cognitive science tried to integrate them, and originally, the field of cognitive science also included AI. Somehow that integration didnāt work.
STROGATZ: You mean it didnāt catch on sociologically, or what do you mean?
MITCHELL: You know, originally it was thought weāre going to program them the way that humans work. And there was a very close connection between human psychology and people trying to build human psychology into AI. And then that actually didnāt yield success in AI the way that weāve seen neural networks and learning from data rather than trying to program it in.
STROGATZ: I see.
MITCHELL: And neural networks itself was originally inspired by neuroscience, but the way that neural networks work today has diverged considerably from that original inspiration. So I think the field of machine learning has gone much more in the direction of statistics, which is quite separate from how cognitive science works.
STROGATZ: So at this point, I guess Iād like to talk a bit about benchmarks, because they do seem to be a big part of the discussion broadly in society these days. There was something that got a lot of people chattering in the world of math. One of the latest frontier models did something that looked like a kind of creativity, solved an old, longstanding math problem one of the problems that Paul ErdÅs, the great, Hungarian mathematician, he left lots of problems for people to think about, and one of them that they call the unit distance problem was recently solved in a very clever way by AI, and it involved putting two parts of math together in a way that hadnāt really been tried before. And so I bring that up because the last time we spoke, we were talking about an old AI that was learning to play some Atari game, or something. And you talked about how it was so good at playing, but then if you move the paddle a couple pixels up or something, it had to relearn all over again. It didnāt know how to play the slightest variation on the original game.
So the thing you said at the time that stuck with me: āThe strange thing is that these machines donāt seem to be able to transfer their brilliance to any other domain than the one theyāve been trained on.ā So that was five years ago. Now I guess I wonder, what do you think? Is that still true?
MITCHELL: Yeah, I mean, that particular model was not a large language model. It was a specific model to play the Atari game. Whereas now we have large language models that are trained on everything. So in some sense, they donāt have to transfer anything. Theyāre already trained. But, people in AI or machine learning talk about things that are in distribution and out of distribution, and that means that is this thing that weāre asking the models to do similar to things that itās seen in its training data, or is wholly different?
And I think itās hard to know. We donāt know what itās been trained on. The model thatās solving these problems has certainly been trained on a lot of math because thereās a lot of math out there on the internet. Itās been trained on textbooks. Itās been trained on all of Steve Stogatzās videos that are on YouTube. And these models are pretty good at taking things from one area and putting them together with another area.
But, you know, I donāt know how to talk about this notion of transfer when somethingās been trained on everything, especially in a field like math.
STROGATZ: Huh.
MITCHELL: Where you know, ātrained on everythingā I think has some meaning in a way. If you say itās been trained on everything that has to do with being human, clearly thatās not the case. But if you say itās been trained on everything having to do with math or with code, I donāt know. Is all of mathematical knowledge out there in some kind of textual or video format?
STROGATZ: Well, youāre asking me. I, so the thing that is roiling our community in math lately as we try to make sense of what just happened is we used to think, āOkay, these machines are very good at searching,ā or, āThese programs are good at searching big spaces.ā They have a tremendous amount of knowledge because, as you say, theyāve ingested the whole internet and the Library of Congress, and anything you can read, theyāve read.
So anything where knowledge and the ability to search and to compute very fast and to not forget, all that, that plays into their strength. But the, but to spot a connection between different branches that hadnāt been noticed before and to exploit that to solve a longstanding problem, if a human being did that, we would consider that an aesthetic high point.
You know, mathematicians love it when an idea from topology gets used to solve a problem in geometry, or when an idea from algebra helps. But then again, maybe itās sort of easy. If you know everything thatās been done and you can look for a lot of possible connections, maybe youāll occasionally get lucky. So thatās what it sort of seems like happened here.
MITCHELL: Yeah. No, I think thatās right. I donāt⦠You know, who knows how it happened because we canāt really look at the innards of the- these models very well for many reasons. But it is creative to bring two unexpected things together and have something thatās actually working. I consider that creative. But, it sort of reminds me in a way, there was a math discovery program way back in the ā70s maybe done by this guy, Douglas Lenat. It was called EURISKO, I think. And basically it was trying to find new ideas in math. And it explicitly tried to bring together things and stick them together, and it would generate hundreds and hundreds and hundreds and hundreds of these things.
Most of them were just junk, but occasionally it would come up with something interesting. A human had to go in and look and say, āIs this interesting?ā The machine couldnāt figure it out itself. So how much of that is going on here? I donāt know. I think here the difference is that the machine obviously is at a much bigger scale, and I donāt know how many tokens of reasoning trace that it generated in the course of solving this problem, and how many kind of wrong paths it went down, and how it figured out that it was on the right path. I mean, these are things that I think are part of the science of AI that not enough people are kind of pursuing right now.
STROGATZ: Yeah, letās get into that now because thatās really where I wanted to go with you. Itās a nice phrase, the science of AI. Iād like to encourage people to look at this article of yours, Melanie, about the six principles to assess cognitive capacity of AI. But just, as a teaser, could you enunciate what are those six and say a little about them?
MITCHELL: Sure. So the first one is to be aware of your own anthropomorphic cognitive biases. So we tend to project human likeness onto things that talk to us in fluent English. So people very much think that these models have human-like qualities when maybe they actually donāt.
The second oneās a very common sense one for scientists. Be skeptical of hypotheses and develop control experiments. Thatās just like Science 101, although Iām not sure how often itās really followed through in science. People tend to like their own hypotheses.
The third is to develop novel variations of your stimuli or your benchmark items in order to test robustness and generalization.
Uh, the fourth one is these systems donāt have to be black boxes. You can probe them in many different ways and we need more people who are very curious about why theyāre getting the results that they do get.
Fifth principle is to consider performance versus competence, sort of what you can show that you can do versus what you actually can do, and in the paper I give some examples of that.
The sixth is to analyze failure types and to embrace any negative results. We tend to put papers with negative results in a drawer and forget about them, but actually they can be incredibly enlightening.
STROGATZ: We all have very direct experience with number six, donāt we? When we see the hallucinations, it starts to make you wonder whatās really going on with these systems, and itās true you learn a lot from the errors.
MITCHELL: Yeah, people celebrate their positive results and they try to explain away their negative results, but itās important to really understand whatās going on by looking at where it fails.
STROGATZ: So one example that you give in your article, this is not about AI, but this is about the kind of lesson from biology or from psychology that subtle things can be happening that you need to have an alert and skeptical mind to notice what might really be going on. So could you just regale us with the old story of Clever Hans?
MITCHELL: So Clever Hans was a horse who lived in the early 1900s in Germany. And Clever Hans was able to answer arithmetic questions. So youād say like, āWhatās 14 plus 12?ā And he would tap his hoof that many times. Looked like a genius horse. And people including many scientists living back then, were very convinced that this was an animal who could do mathematics, who could count, who could reason about simple problems in the way that humans do.
And people were very excited. But then a psychologist, named Oskar Pfungst, came along and said, āWell, letās do some controlled experiments here,ā this notion of controlled experiments you know in psychology being kind of a new idea, I think. And letās see what happens if he canāt see the person whoās asking the question.
STROGATZ: Okay
MITCHELL: And then he fails. And it turns out what heās doing is heās reading subtle cues on the face of the person whoās asking the question. It turns out that if the person whoās asking the question doesnāt know the answer already, he also fails.
āCause what the person is doing is theyāre reacting to his hoof taps, and when he gets to the answer, thereās some unconscious signal theyāre sending that heās reading. So he is a genius horse, just not at the things that people thought he was a genius at. Instead, heās a genius at reading social signals in human faces.
STROGATZ: And so in this parable then, as far as like when we are impressed by something seemingly genius that AI is doing, what is our lesson? That, that we should be doing controlled experiments, or what?
MITCHELL: Right. So, an AI system was shown to be really good at reasoning about diagrams in scientific papers, letās say, I think this is, actually a real example, and could answer questions about them. But then the control experiment was give the questions without showing the diagrams. Seems crazy, right? How could you answer questions about a diagram without seeing the diagram? And it turned out that the AI could do this task because somehow there was some kind of spurious association between the words in the questions and the correct answer.
STROGATZ: So that seems like a case of poor experimental design on whoever was doing the benchmark attempt in retrospect.
MITCHELL: In retrospect, and in retrospect this happens all the time in psychology and other fields, Iām sure too, poor experimental design. Experimental design is a very hard thing and thereās all kinds of confounding possibilities. So this is why the notion of replication in science became so important. If one group does an experiment and they get a result, we shouldnāt necessarily believe that result. That result might be due to some other aspect of their experimental design that wasnāt intended. Thatās why itās very important for independent groups to replicate studies. This isnāt something that people in AI do very much.
STROGATZ: No, and why not? Is it that the replication is not very glamorous because youāre coming in second like thereās no incentive. Thatās true in all parts of science, right?
MITCHELL: Yeah. I think thatās true in all parts of science. But itās also because I think most of AI research is done by people whose background is in computer science or a related field thatās not focused on experimental methodology. Iām a computer scientist. I never had to take a course in experimental methodology. No such course was ever offered to me in my department. It wasnāt seen as part of what computer science was all about, and I think thatās one of the things thatās lacking in todayās AI discussion. How can we trust the results of these experiments and studies that are done that show that AI can do all these different things?
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LEVIN: Fascinating. So it seems to me that thereās this cognitive science version of the interference of the observer that everyone talks about in quantum mechanics, right? The observer themselves is interfering with the experiment or the outcome of the experiment, and that is such an interesting role. Of course, this Clever Hans is very famous, and I agree that that is a very clever horse for being able to read the social cues.
But how interesting if this is also happening with AI, that itās, itās not just the role of the experimenter thatās interfering, itās actually the role of the psychology of the experimenter thatās interfering.
STROGATZ: Yeah. Itās a whole dimension that many of us in the theoretical sciences and math donāt get trained in, as Melanie freely admits. You know, I never took a course in experimental design. You as a physicist, I assume you had to take some experimental physics, butā¦
LEVIN: Yeah. It doesnāt really weigh in my actual work. Itās really not experimental. Yeah. So I would not be a very good architect of a good experiment.
STROGATZ: Well, and it seems like it is, something thatās a very live issue because these days the AI companies frequently use benchmarks to show how ā well, to assess how ā how far along are their systems on this quest for either artificial general intelligence or superhuman intelligence, that sort of thing. Or even just to out-compete the other AI companies. We would like to know what the capacities are of these new machine learning systems and other AIs.
LEVIN: Well, I think it might be that itās just, I donāt think we really know how to evaluate human intelligence, or to really know what somebodyās doing when theyāre thinking. I donāt think we know about ourselves. I donāt think we can self-report very well. I canāt say to you, āOh, this is how itās working in here right now as Iām constructing this sentence. I listened to it, and this was the process.ā I donāt know, right? Itās just natural. It just comes out. And Iām not that privy to the inner workings, and I feel the AI similarly. A lot of people have said, Iāve had conversations on our show before with other cognitive scientists and computer scientists and they say itās really hard for the AI to answer questions, ācause a lot of people say, āWhy donāt you just ask it?ā And it canāt self-reflect either in an accurate way.
STROGATZ: This whole thought, the mystery of the black box. We use the term black box so often for the AI, but of course, our own intelligence is a black box, not just from mine to you, but even me to myself, as youāre emphasizing. But it makes me wonder if thereās a role for magicians because, you know, magicians or sleight-of-hand people are so good at showing us our own psychophysical limitations. How easily weāre fooled, or the sorts of cognitive errors we tend to make, and there are people who are analogous to the magicians who show the deficits and common sense of the AIs, right? Theyāre sort of playing games that are almost like magic tricks on the AIs. I wonder how revealing those will be, you know, in a serious scientific way.
Well, Melanie has a lot more to say about the depth of AI cognition and understanding, and also how it might change whole fields of science, including math. We will be hearing more about that after the break.
[Music plays]
STROGATZ: Welcome back to The Joy of Why. Weāre joined today by Santa Fe Institute computer scientist Melanie Mitchell.
STROGATZ: You have been a college professor for much of your life. When youāre working with students they can get the answers right, but as you start to probe what they actually understand, you start to realize that they might be getting the right answers for the wrong reasons. They donāt really know what theyāre doing, and thatās important if you wanna be a helpful teacher. This brings up another point: competence versus performance. Can you expand on this idea and, what would it mean in the AI context?
MITCHELL: So competence versus performance is kind of an old distinction from psychology and linguistics. The idea is that you might have the competence for a particular cognitive capacity, but there might be some reasons why you canāt perform the task that Iām giving you. Like they have the competence, they could solve the problems, but theyāre just emotionally frozen. Thereās some performance block.
But then thereās the other way around, which is performance without competence. So if the student in your office hours, say, had memorized a problem from the textbook and the solution, but they didnāt understand the general principle, so if you gave them a slightly different version of the problem, they couldnāt do it. Thatās performance without competence.
STROGATZ: Okay. So if we would say that weāre trying to work out ways of testing whether the AI understands, what would count as evidence? Suppose that, youāre an AI advocate who said that these new systems, because weāve scaled them up or because we have some nice new architecture with world models or social models or whatever, weāve now crossed a threshold where they actually understand. Itās not just that they can compute, they understand. What would count as evidence of understanding?
MITCHELL: Oh gosh. I hate to get pedantic about understanding, but thereās so many different meanings of it.
STROGATZ: Ah.
MITCHELL: We had a talk here at Santa Fe Institute from a philosopher who broke down understanding into 25 different types.
STROGATZ: Aha. I didnāt know what I was getting myself into with the question.
MITCHELL: So thereās like P understanding and G understanding and thereās this very long typography of understanding. And Iām not sure there is any sort of single notion of real understanding. One of the recent things I and my collaborators have been working on is looking at different dimensions of understanding. One example is you can get one of these language models or chatbots to generate a story. Just generate a short story about something, and they will. Theyāll generate a very beautiful little coherent short story. But then if you start asking them questions about the story, they will often will fail in weird ways.
STROGATZ: Hmm.
MITCHELL: even though they generated it. And I think the same thing is true in a lot of different tasks that they understand along one dimension but not along another dimension. And in some sense deep understanding might be just you understand across many different of these dimensions.
STROGATZ: Aha. That sounds like a promising direction. Letās talk about tasks a little more, because thatās a phrase or a term that Iāve seen in some of your writing, the phrase, the tyranny of tasks. Whatās that about?
MITCHELL: I first heard that, from Shannon Vallor, a philosopher. The idea is that in AI, the world is divided in terms of tasks. So when we think about what AI systems can do, people say, āOh, they can make summaries. Letās test their ability to summarize articles.ā Or, āLetās test their ability to answer questions about diagramsā or I donāt know, some other benchmark.
STROGATZ: Well, I mean, these days, theyāve been benchmarked a lot on International Mathematical Olympiad, very hard high school problems, then there were research level problems. Now thereās open problems that are unsolved in math. These are all like three levels of math benchmarks that are out there.
MITCHELL: Right, their capabilities are defined in terms of these benchmarks. You know, one benchmark might be the bar exam for law students, and they do really well on the bar exam. And so we say, āOh, lawyers, you should be afraid. Your job is threatened because these AI systems are as getting as good as you are.ā Uh, But the way that weāre defining that is by looking at how well they do on a specific set of questions or a task. And jobs as a whole are not the same as just one independent task after another. This is, I think itās almost like a fallacy that if an AI system can do a bunch of tasks, it can do the job of a person that is associated with those tasks.
So just one example of this. So thereās a famous quote from Geoffrey Hinton, where he said something like, āAI systems are incredibly good at diagnosing or interpreting radiology images. Nobody should go to school anymore to be a radiologist. AI is gonna take all the jobs within five years.ā
Well, that was 2016. That was 10 years ago. Now we actually have a shortage of radiologists. I donāt know if thatās because he said that, but uh, it turns out that even though AI systems can beat human doctors on these benchmarks, thatās not the same as doing this job out in the real world, which is much more open-ended, which is not just a series of well-defined tasks.
STROGATZ: Still, it does leave you wondering, like in the case of radiology, you could imagine if they are really good at that task, then whatās left for the human radiologist? Should we still be in that part of the game? Like in my own world of math, you know, if theyāre very good at proving theorems, but theyāre not so great yet at coming up with new concepts, or as we sometimes speak of it, theory building, right? Thereās this big distinction between problem-solving and theory building. So is it that weāre sort of gonna find our niche, that we can do the parts that they donāt do? So like in the case of radiology, they have the open-ended part but not the scan reading part? I guess thatās what Iām wondering.
MITCHELL: Yeah.
STROGATZ: Is that how itās gonna go?
MITCHELL: Maybe. I wouldnāt be at all surprised if jobs like yours change quite a bit because of these new tools. These are going to become incredibly useful tools for mathematicians. So it might change your job. Just like when personal computers came out, but thereās a fantastic book by um, George Lakoff and Rafael Núñez about math and where ideas in math come from, via metaphors. And they feel that human embodiment is a very important part of understanding and mathematics.
STROGATZ: Exactly. I think thatās our only hope ācause right now they the machines donāt have great embodiment. And youāre right, that a lot of great ideas in math are inspired by experience with the world. And thatās what I was gonna say about applied math, that I feel like thatās even more so than pure math, where we get so much inspiration from nature and from engineering and society and all that, that I think we have a lot more chance of being useful as humans in applied math.
But I do think pure math will expire before applied math does, and maybe neither will. Maybe weāll just keep going forever. What does it look like to you? I mean, math is often thought of as some kind of gold standard like, the AI companies have a lot of use for math, right? They can demonstrate how good their systems are ācause they can verify that theyāve solved a problem or not.
MITCHELL: Well, thatās a big question I have, which is, suppose that your prediction comes right and math, pure math expires in some sense for humans. What does that mean for other fields? Does that mean that these machines are on their way to taking over everything? Or is it more like 1997 or whatever it was that Deep Blue beat Kasparov and that actually beating the best human at chess did not necessarily mean that was gonna go anywhere in other fields.
STROGATZ: I donāt know. What do you think? It feels to me like science is much more open-ended than math in that respect.
MITCHELL: Yeah, I believe that. I donāt think that solving all the Erdos problems means that the average person has to fear for their job.
STROGATZ: Okay, now we have many different things on the table at that point. But even just in the world of pure brainiacs, whether itās scientists or mathematicians, just the fact that biology there are so many things to be measured, we have so much data that we could collect that we havenāt collected, so many new ways of observing. I mean, that seems very inexhaustible to me compared to math.
MITCHELL: I agree. And even in physics, I think, which is maybe closer to math, thereās so much you know, open-ended questions that arenāt well-formulated, that donāt have something like a proof that can be constructed.
STROGATZ: But so, I do feel like the hope for math is to continue to take inspiration from the real world. And von Neumann had said something like that too, that when math becomes too much art for artās sake, when it drifts too far from the source, for him the source was nature or reality, if it becomes too far removed it becomes sterile, said von Neumann.
So I think this could be a a really good era for pure math if it starts taking more inspiration from nature. Thatās been less so in the 20th and 21st century, but I think if we go back to that, we can probably eke out a few more centuries of human pleasure in math.
MITCHELL: Iāll just say thereās this dictum in AI which is that easy things are hard and hard things are easy.
STROGATZ: Right.
MITCHELL: And pure math is seen by humans as like the most exalted exhibition of intelligence and brilliance. Itās the hard thing, and yet we know that hard things are easier for machines and easier things are harder.
STROGATZ: Yep, and thereās the word soft also, right? In science, we talk about the hard sciences and the soft sciences, and the soft sciences of economics and psychology and anthropology, and those are the really hard ones.
MITCHELL: Right.
STROGATZ: Well, so if we meet again in five years.
MITCHELL: The Joy of Gamma, or something.
STROGATZ: Yes, The Joy of Omega by then, right. What do you hope we would understand about AI systems by then? Or what kinds of tests would we want to be able to do that we canāt do today?
MITCHELL: Yeah, I mean What I really hope will go well in the science of AI is this field called mechanistic interpretability, which is the neuroscience analog, where youāre actually looking at the activations and the weights and the, you know, all the messy innards of the system, and understanding at a higher-level sort of what they are doing.
These days, itās kind of a smallish subfield where people are trying to develop tools that do that, analogous to things like fMRI or whatever. And I donāt think anybodyās really figured out exactly how to do this the right way yet, but Iām hoping thatās something that we can accomplish, and then we would have a genuine way of understanding sort of their limitations, what they can do, what they canāt do, what kinds of mistakes theyāre likely to make, and maybe how to fix them.
STROGATZ: Interesting that you put your finger on that because the first time I became aware of you, it was in connection with that in a broad sense. So what Iām thinking of is back when you used to work on something that in the jargon was called GAs for CAs, genetic algorithms for cellular automata, you and Jim Crutchfield were looking at this problem of evolving algorithms that could solve a certain class of problems, hard computer science problems, and you were using this evolutionary algorithm to select better and better algorithms that kept improving through a kind of selection process.
But then the part that you did that I found so creative is once youāve got a really good system, you looked at it in what felt to me like an analog of mechanistic interpretability. You tried to see what was making that system so smart, analyzing it in terms of particles that were colliding with each other according to certain rules in the diagrams. Thatās, I donāt know if Iāve summarized it reasonably well, but it seems like this is a longstanding interest of yours.
MITCHELL: Yeah. thatās true. I hadnāt made that connection exactly, but thatās interesting.
STROGATZ: It is this, though. Itās interpretability.
It is interpretability. And itās also, I think, in the field of complex systems, people talk about this notion of emergence.
STROGATZ: Yeah.
MITCHELL: And we thought of that as a kind of emergent computation. And I think these AI systems also have emergent computations that are not easy to find, but theyāre there, and if we understood them better, we would understand how the system is actually working, doing what it does.
STROGATZ: Yeah, itās an interesting attitude. It feels honestly to me very sweet and very old school. This hope that⦠Okay, youāre chuckling ācause you see where Iām going. Itās a mean thing Iām saying, but this conceit that we with our limited minds can keep doing science, you know, and weāre gonna figure out how these AIs are doing what theyāre doing, and thatās what our game will continue to be just like it always has been in science.
And I, the dark side of me, thinks our days are numbered to be able to do that as these gadgets get bigger and bigger. Who says we can keep doing science on them and figuring them out? Whatās your reaction to that? We have nothing else to do. We have to try.
MITCHELL: Thatās an interesting question. Um, why do we do science in the first place? I mean, you know, we do science ācause we wanna solve problems. Thatās one thing. But we also do science ācause weāre driven to understand things.
STROGATZ: Yes.
MITCHELL: You see this in little children. Theyāre driven to understand. Often one of their first words is why. They ask it constantly. So I think thatās a human drive, and itās hard to fight against that. And thatās why you and I both went into science, itās important to us.
Now, I was a little despairing when I went to a panel discussion at a conference on the role of AI in science. And there were a bunch of famous people on the panel talking about how AI was going to revolutionize weather prediction, and genetics, and cosmology, and you name it. And I asked them at the end āWell, like, is this going to contribute to human understanding of the world?ā And theyāre like, āWhy should we care about that?ā
STROGATZ: Yeah. To me, this is the bifurcation that weāre all thinking about now. āCause science has this double-edged aspect, that it gives us pleasure, we like figuring things out, there is the joy of why, and as you say, itās deep in our species. So yes, weāre curious, but then thereās the other side that for so long science has been this instrumental thing that helps us in technology and medicine.
And I guess the question I have, and I think a lot of us have, is will we continue to take pleasure in the joy of curiosity when we are no longer the best at solving the important problems? But let me ask you one last thing, for people who havenāt heard our earlier conversation, what was your draw to this field, and if you were starting out today, do you think youād have the same kind of curiosity?
MITCHELL: Yeah, thatās a great question. When I was a child, I loved logic puzzles, like the knights and the knaves. The knights who always told the truth and the knaves who always lied. Thereās a fun several books by Raymond Smullyan, a mathematician who wrote a bunch of puzzles in this genre that I absolutely loved.
When I got to college, I read Douglas Hofstadterās book, Gƶdel, Escher, Bach, which was the real-world version of these in a way. I mean, he was talking about Gƶdelās theorem and paradoxes in mathematical logic and how all this related to cognition and thinking and creativity and so on. And I was just completely blown away and that this is what I wanna do in my life. I didnāt exactly know what it was, but it seemed like it might be artificial intelligence. So I pursued Doug as an advisor and got to join his group, and was studying analogy via a new set of puzzles which were analogy puzzles. And, I was very entranced by all of that.
If I were that age today, I would be worried. In fact, I have a son who is getting a PhD in machine learning, and he wants to do research in machine learning, but heās actually quite nervous that there will be no more roles for humans doing research in machine learning because AI will be doing all the research in machine learning and improving itself and so on and so forth. And I wonder if Iād think the same thing. I donāt know.
STROGATZ: Maybe we do have to revisit this in five years because we may know by then. Given how fast everything is going, who knows? I really appreciate your spending time with us. This has been wide-ranging, a little bit amorphous conversation, but itās just wide open and I canāt think of a better guide to it. Thank you very much for joining us.
MITCHELL: Thanks, Steve. Itās been great.
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LEVIN: Hmm. Hmm. I, I just remember being a student and learning Newtonās laws for the first time, and then Keplerās laws, which really make Newtonās laws beautiful, this application to the celestial cycles. I didnāt think, āOh, Iām not the best at this, therefore I shouldnāt learn it.ā Nor did I think, unless I one day become the best at this, I cannot feel pleasure or joy in my experience of acquiring this information.ā
Of course, lots of people study things that other people already know and are better at. So I, I sort of wonder if maybe the AI will know things before us, but we will still need to acquire the understanding ourselves, and in that acquisition is a similar experience. Instead of maybe the AI will be a filter between us and interrogating nature directly, but weāll still be acquiring, I donāt know, the knowledge and having that experience. Iām not sure. Maybe itās all gonna pass us by.
STROGATZ: Iā Well, letās explore this a little more. I like especially your emphasis on not being the best, and how, in a way, unfraught that is. I, I learned as soon as I went to college what it means to not be the best. You know, this, this fixation with being the number one, especially in an age of optimization. Thereās so many optimization algorithms. We talk about faster, cheaper. But in our own lives, very often weāre not the best. Iām certainly not the best tennis player. I love to play tennis. Iām not the best chess player, and Iām still happy to play chess. And try to be the best dad, but I may not be. But still, all these things are worth doing for their own sake, right? They give us pleasure.
I do feel very philosophical and almost religious about this. Like, we get a little time on Earth alive and, you know, these questions about AI do tap into questions about the meaning of life. What are we trying to do? If the meaning of life is that youāre gonna be the best in some domain or youāre gonna make a discovery thatās gonna change the world, then most people will have a meaningless life, and I just donāt wanna believe thatās the correct version of the meaning of life.
It was not for my dad. He didnāt even get to go to college. You know, he grew up in the Depression. That was not an option. His life was being a good parent and taking care of the people that bought shoes at the shoe store that he had. And he knew everyoneās shoe size in our little town, and he left a good name when he died. People remembered him well.
LEVIN: Right.
STROGATZ: So okay. What is that doing on our show here about science?
LEVIN: Well, I think that letās say the meaning for some people of life has to do with acquisition, acquiring wealth. Theyāre gonna love this stuff, right? āCause thereās gonna be this new tool that simply leverages all kinds of buttons that they now have faster access to and can exploit and acquire more wealth.
There are people who found meaning in singing songs or writing poetry or being novelists or doing math, and, and I think all of those fields are a little more nervous, right? About reevaluating what the place is going to be for them and, and how to secure that place and how to think about it.
If Iām playing games of what may or may not happen, I mean, there is still a world in which AI is like a supercomputer, and weāve talked about this before, Steve. Just ācause a supercomputer can crunch all of these numbers, if it presents it to us as a string of symbols, even though it has, in some sense, an answer, itās not a meaningful answer for us, and none of us value it.
We still, as human beings, have a very important role between us and a supercomputer rendering an image of a galaxy or looking at an image of a biomedical neural map. It hasnāt actually robbed scientists of their work. And so it might be that it really will continue to be a tool and not simply something that overtakes and discards us.
STROGATZ: Well, thatās the question, right? I think there are two plausible scenarios. One is that it continues to be a tool, and we always have some essential role in science and math at the cutting edge. The other option is, and actually in my heart I believe this is the case, that we will not be at the cutting edge, and that will happen very soon. And, so then what is the point?
Then I feel like itās still meaningful, just like when I was in high school and I discovered things about math. They were discoveries to me. They were not discoveries to the world, you know? I think we may have to all settle for that. Weāre not gonna be making genuine discoveries for the world.
The AIs will be doing that. I really do believe thatās gonna happen very soon. I may be wrong. I mean, there may be fundamental reasons why the AIs wonāt be able to do that. For instance, they donāt have bodies, they donāt have social life, you know, thereās a lot⦠But I just think all that stuff will be solved before long. Anyway, whatās your take?
LEVIN: Well, I think thereās a difference between, making discoveries and understanding, and I guess thatās kind of what I mean in examples. In some sense, maybe the su- supercomputer made the discovery before the person did, but we still say the person did ācause the discovery didnāt count as a discovery until they rendered it in a way that human beings could comprehend.
But, I honestly donāt know. I am not incredibly saddened or pessimistic, so I guess I would have to say that in my heart, intuitively, I am not terrified of this prospect. Maybe I should be, but maybe itās just sort of a bliss of being naive and Iām just gonna wait for it to sneak up on me.
STROGATZ: There is one thing I think we can be very optimistic about and hopeful about, which is I think weāre gonna have a glorious golden age of science where we will understand, and discoveries by the AIs or by people in conjunction with AIs, thatās all gonna be happening in the next, whatever, five, 10, 15 years, and itās gonna be a spectacular fireworks time for science. And I think that hopefully with any luck, weāll be alive to see all that.
LEVIN: Yeah, thereās definitely going to be a transition period where people are moving it fast and furious, and theyāre part of the story, and thereās great accomplishment, and it will be exciting to see. I know people, very accomplished, who are very excited about using it. Use it every day. They have multiple things going on, and they just feel like their productivity has doubled or more. And theyāre excited, theyāre enjoying themselves. I think thereās really nothing we can do but chime in and participate in this, at least, transition phase before weāre obsolete.
STROGATZ: Well, Iām getting choked up just thinking about it. Thanks, Janna. Itās always great to see you, and weāll see you next time on The Joy of Why.
LEVIN: Thanks, Steve.
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LEVIN: If youāre enjoying The Joy of Why and youāre not already subscribed, hit the subscribe or follow button wherever youāre listening. You can also leave a review for the show. It helps people find this podcast. Find articles, newsletters, videos and more at quantamagazine.org.
STROGATZ: The Joy of Why is a podcast from Quanta Magazine, an editorially independent publication supported by the Simons Foundation. Funding decisions by the Simons Foundation have no influence on the selection of topics, guests, or other editorial decisions in this podcast or in Quanta Magazine. The Joy of Why is produced by PRX Productions.
The production team is Caitlin Faulds, Jade Abdul-Malik, Genevieve Sponsler, and Merritt Jacob. The executive producer of PRX Productions is Jocelyn Gonzales. Edwin Ochoa is our project manager.
From Quanta Magazine, Simon Frantz and Samir Patel provided editorial guidance, with support from Samuel Velasco, Kit Sudol, Simone Barr, and Michael Kanyongolo. Samir Patel is Quantaās Editor-in-Chief.
The episode art is by Chanelle Nibbelink and our logo is by Jaki King and Kristina Armitage. Special thanks to Garth Avery at the Cornell Broadcast Studio.
Iām your host, Steve Strogatz. If you have any questions or comments, please email us at [email protected]. Thanks for listening.
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