חדש באתר: עוזר בינה מלאכותית המבוסס על כתביו ושיעוריו של הרב מיכאל אברהם

Doubt and Statistics – Lesson 27

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This is an English translation (via GPT-5.4). Read the original Hebrew version.

This transcript was produced automatically using artificial intelligence. There may be inaccuracies in the transcribed content and in speaker identification.

🔗 Link to the original lecture

🔗 Link to the transcript on Sofer.AI

Table of Contents

  • Statistics and non-random processes
  • Maimonides, the Raavad, Pharaoh, and Egypt in Chapter 6 of the Laws of Repentance
  • The law of large numbers as a basis for collective prediction alongside individual choice
  • Divine intervention, foreknowledge, and extreme examples of denying choice
  • Algorithms, Facebook, and collective manipulation that does not cancel free choice
  • Independence, predictability, and the paradox that “freedom” increases collective predictability
  • Genetics, environment, and statistical correlations that are not deterministic determination
  • The topographic map parable: influence versus determination
  • Psychology, science, and technology: statistical regularity without predicting the individual
  • Values, Ari Elon, and weakness of will
  • An analogy to quantum theory and the move to classical mechanics

Summary

General Overview

The text argues that statistics is mistakenly perceived as a tool for dealing with random processes, while in practice most of its real-world applications deal with complex deterministic processes or with human behavior that is not random but rather a product of free choice. It shows how collective outcomes can be predicted even though individuals have free choice, and develops this through Maimonides and the Raavad in the Laws of Repentance, through examples from Facebook and marketing, and through the law of large numbers and the condition of independence. It proposes a parable of a “topographic map” in which circumstances, genetics, education, and values influence but do not determine, and concludes that psychology can establish statistical laws for large groups but cannot predict with certainty the behavior of a single individual, even if there were complete knowledge.

Statistics and Non-Random Processes

The text states that in almost every everyday use of statistics, one is not dealing with true randomness, but rather with two kinds of non-random processes: complex deterministic processes that are sensitive to initial conditions, and human behaviors. It argues that the only place where statistics is actually applied to real randomness is quantum theory in its standard interpretations, and therefore the average person almost never encounters statistics applied to genuinely random phenomena. It defines three basic categories of behavior: deterministic, and indeterministic, which splits into randomness and free will, and emphasizes that statistics is used mainly precisely in the two categories that are not random. It cites the statement “There is no happenstance in the world at all” as a way of underscoring the claim that the everyday world is not really understood as random.

Maimonides, the Raavad, Pharaoh, and Egypt in Chapter 6 of the Laws of Repentance

The text describes Maimonides’ question: how were Pharaoh and the Egyptians punished for enslaving Israel if, in the Covenant Between the Pieces, it had already been foretold that this would happen, and in the subtext it seems that this was not merely foreknowledge but that the Holy One, blessed be He, brought about the situation. It presents the Raavad’s claim that God’s knowledge does not dictate human choices, and explains that the difficulty becomes sharper when we are talking not only about knowledge but about bringing about the result itself. It presents Maimonides’ answer that the decree did not apply to any specific Egyptian, but to the Egyptians as a collective, and therefore each Egyptian had free choice whether or not to participate in the enslavement, and whoever chose to enslave was liable. It brings the Raavad’s challenge in the form of the example of “a hundred Egyptians,” where if all of them choose the good, the divine plan would be nullified, and suggests that Maimonides is in fact relying on the law of large numbers to reconcile collective foreknowledge with individual choice.

The Law of Large Numbers as a Basis for Collective Prediction Alongside Individual Choice

The text argues that the Holy One, blessed be He, can “tilt the weights” in the sense of creating circumstances so that the probability that an Egyptian will enslave rises, for example from forty percent as against sixty percent not to, while still preserving for each individual the ability to choose otherwise. It explains that with large numbers the collective outcome converges toward the expected rate, and therefore one can say in advance that on the level of millions, approximately a certain proportion of enslavers will emerge. It distinguishes between the principled question of responsibility and the question of the severity of punishment, and argues that even when the probability of choosing the good is very small, responsibility still exists if there remains some possibility of overcoming, while difficult circumstances are a consideration for leniency in sentencing. It raises the theoretical possibility that the Holy One, blessed be He, might intervene deterministically to guarantee a result, and says that in such a case there would be no place to punish, because choice was removed, though it does not claim that this is what actually happened in Egypt.

Divine Intervention, Foreknowledge, and Extreme Examples of Denial of Choice

The text distinguishes between foreknowledge and involvement in bringing about the result, and states that knowledge does not entail involvement. It suggests that there may be situations in which the Holy One, blessed be He, might sporadically remove free choice in order to prevent extreme outcomes, and gives the example of “pressing the red button” and launching a nuclear missile, where he hoped God would intervene so that it would not happen. It argues that there is no contradiction in saying that in principle there is free choice, but not necessarily in every situation, and compares this to legal situations in which a person is exempt from criminal responsibility because of an “irresistible impulse.” It emphasizes that if there is a deterministic removal of choice, then there is no responsibility and punishment is unjustified, whereas if there is only a worsening of circumstances that makes resistance harder but does not compel, then responsibility remains.

Algorithms, Facebook, and Collective Manipulation That Does Not Cancel Free Choice

The text recounts a conversation with a son who works at Facebook and describes the sense that algorithmic marketing makes it possible to predict outcomes “with tiny errors” and to play with people “like marionettes.” It compares this to the example of the Mahane Yehuda market, where there is a regular “peak” on Thursday night even though it is not always the same people, and explains that circumstances generate a predictable collective result even though each individual can choose otherwise. It argues that the feeling that algorithms “control our minds” is a mistaken picture, because they operate mainly at the collective level, while each person still has free choice whether to buy or not to buy. It adds two qualifications: first, that the collective change also comes from influencing the individual by making a certain option more attractive and therefore harder to resist, and second, that free choice does not require a fifty-fifty situation but can exist even when it is eighty-twenty, so long as the person is not coerced.

Independence, Predictability, and the Paradox that “Freedom” Increases Collective Predictability

The text explains that the law of large numbers requires independence between trials, and that when there is dependence between tosses, convergence to the expected distribution is not guaranteed. It presents this through the parable of a fair coin and an “unfair” coin, and shows that even in a single toss every outcome is possible, but the probability changes, and over many tosses a stable distribution emerges. It argues, counterintuitively, that the ability to predict the collective outcome actually grows when the cases are independent, and applies this to human beings by claiming that precisely because each person has free choice and relative independence, one can give good statistical predictions about a large group. It emphasizes that determinism may still be possible as an alternative description, but predictable collective behavior is not evidence against free choice and does not entail determinism.

Genetics, Environment, and Statistical Correlations That Are Not Deterministic Determination

The text criticizes the claim that finding “a gene responsible for violence” is proof of determinism, and argues that these are statistical correlations that increase a tendency but do not determine a specific act. It says that courts do not exempt a person from criminal responsibility merely because of a genetic tendency, because the gene “pushes,” but the person can still overcome it, though such circumstances may be considered in sentencing arguments. It expands this to say that the influences of education, environment, and genetics are an integral part of explaining behavior even for someone who believes in free choice, and that the dispute with the determinist is whether these influences determine or merely influence. It again connects this to the law of large numbers by saying that large groups with a certain tendency will display a higher rate of a certain behavior even though one cannot determine what any single individual will do.

The Topographic Map Parable: Influence Versus Determination

The text offers a parable of a topographic outline in which mountains, valleys, and slopes represent costs and tendencies whose source is genetics, environment, education, media, and other influences. It presents the determinist position as though the person were a “little ball” rolling according to the terrain and therefore the result is determined, as opposed to the libertarian position according to which the person acts within the same terrain but can invest energy and climb a “mountain” rather than rolling into a “valley.” It argues that values and tendencies already present within a person are also part of the map and influence him, but free choice is the decision about what to do within the map, not stepping out of it into a vacuum. It describes a situation in which one can bet on the likely direction of action of an individual, but there is no certainty, whereas regarding a million individuals in the same situation one can predict a distribution close to the weighted probabilities of the map.

Psychology, Science, and Technology: Statistical Regularity Without Predicting the Individual

The text argues that psychological laws can be seen as statistical laws that are empirically testable by comparing large groups, for example a thousand with a certain trait versus a thousand without it, in the same situation. It claims that the reason psychology cannot predict the individual is not merely “complexity” but is principled, because even with “ultimate psychological knowledge” one still could not predict with certainty the choice of the individual. It says that psychology can be a science at the level of the human species and distributions, but when one tries to apply it to a particular person, it becomes a technology that cannot guarantee a result, because a human being is not a “car” and the laws of psychology are not deterministic. It adds that he is skeptical about the ability of the discipline of psychology to “provide tools for improvement” in an individual, while accepting its value for understanding human nature at the general level.

Values, Ari Elon, and Weakness of Will

The text rejects Ari Elon’s distinction between “the rabbinic person” and “the sovereign person,” and argues that this is “categorical nonsense,” because no person chooses what is good and what is bad, but rather chooses whether to be good or bad. It distinguishes between moral values, which are perceived as given, and positions such as capitalism and socialism, in which there is a combination of values and factual analysis, and notes that the choice there is more complex. It refers to a separate discussion of “weakness of will” and states that he has two columns on the site about it, clarifying that the question goes beyond the framework of the series but is related to how a person can act against what he thinks is right.

An Analogy to Quantum Theory and the Move to Classical Mechanics

The text argues that the phenomenon in which non-deterministic behavior of individuals creates a collective that appears deterministic also exists in quantum theory. It explains that large bodies do not display quantum phenomena like individual particles because they are an aggregate of many particles, and the law of large numbers causes the behavior of the whole to approach the expected value. It uses this to reinforce the claim that consistent collective prediction does not necessarily indicate determinism at the level of individuals, and that misunderstanding this point leads to conceptual mistakes, such as inferring from Facebook that the world is deterministic.

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Full Transcript

[Rabbi Michael Abraham] Okay, let’s begin, hello. We’re in a series on doubt and statistics, and last time I started talking a bit about the statistics of human behavior. And I said that at first glance, if you ask people, they’ll tell you that statistics is the tool through which we deal with random processes. Meaning, if something happens randomly, by chance, then the way to deal with that situation is through statistics. But it turns out that in almost all the situations in which we use statistics, we’re actually not dealing with random processes, but with one of two other kinds of processes. One kind is deterministic processes, like rolling a die, flipping a coin, things of that sort, where I explained that really there’s nothing random there at all; these are completely deterministic processes. And still we use statistical tools to deal with those situations, and that’s because they’re complex or depend very sensitively on the circumstances, on initial conditions, on the surrounding conditions, and therefore in practice we can deal with them using statistical tools even though there’s nothing genuinely random there. The second example, the second category in which we use statistics, is human behaviors, where at least as I understand it, human behavior does not belong to the deterministic side. I believe that people have free choice, and therefore for me this is a different category. Determinists will tell you it’s the same category, but I’m claiming that there are two categories here, both non-random, and in both of them we apply statistical tools. The only place where we apply statistical tools to a situation that is truly random is quantum theory, in the accepted interpretations of quantum theory that speak about genuine randomness. And there we do use statistical tools, but of course that’s the exclusive domain of physicists dealing with very esoteric phenomena on very small scales, very tiny sizes, and so in fact the average person in his everyday experience doesn’t encounter applications of statistics to random phenomena at all. It’s actually very surprising; there are people who hear this and at first glance it seems really strange or surprising to them, because we’re used to thinking that statistics is a tool for dealing with random phenomena. But it isn’t. Meaning, when statistics was developed, when mathematicians talk about it, of course they’re talking about random processes, that’s clear. But the applications of those tools in the world are never made to random situations, never. There are no random situations that we encounter where we use statistics to deal with them. Not stock market investments and not any statistical calculation you can think of, nothing, nothing at all. Everything we know belongs to one of these two categories. Either complex determinism, dependent on initial conditions and therefore handled with statistical tools, or human behavior. Meaning, statistics of human behavior. And again, both of these categories are not random. I talked about the fact that there are really three basic categories of behavior: deterministic, and indeterministic, which splits into two subcategories: one subcategory is randomness, the second subcategory is free will or choice. So among those three categories, statistics serves us specifically in the two that are not random, specifically there. Because we simply don’t encounter the random category. Of course you can also use it on the random category, but we don’t know such a category. In our world there are no random events, “there is no happenstance in the world at all,” as the saying goes. So this phenomenon, this division, now leads me to focus on the second category, human behavior. And with respect to human behavior, it really isn’t trivial why one can treat it with statistical tools. It’s not random, but rather a product of free will, of choice, at least some human behaviors are. And therefore it’s surprising to discover that it can be handled with probabilistic tools or statistical tools. Last time I started talking about Maimonides and the Raavad in Chapter 6 of the Laws of Repentance, where Maimonides discusses the question of why Pharaoh and the Egyptians were punished for enslaving Israel if the Holy One, blessed be He, had already told Abraham our forefather in the Covenant Between the Pieces hundreds of years earlier that this is what would happen. And in Maimonides’ subtext at least, it seems that the fact that the Holy One, blessed be He, said this is not brought merely to say that He knew in advance, but that He also brought this about. Meaning, this is not only foreknowledge in the passive sense of what would happen ahead of time, but the Holy One, blessed be He, created the situation, brought about this situation. And so it becomes much more difficult: why punish the Egyptians for something that really was not in their hands? Even if I were to accept what Maimonides writes one chapter earlier—after all, the Raavad shouts at him, what do you want, you already explained this in the previous chapter, you dealt with it in the previous chapter. The Raavad doesn’t see that as an explanation. He says: God’s knowledge does not dictate our choices; our choices are still free. That is the Raavad’s claim against Maimonides. I said that Maimonides—even though I don’t think that’s what he argues in Chapter 5—but even if he did argue that, it wouldn’t matter for what he says in Chapter 6. Because in Chapter 6 he’s talking about situations in which the Holy One, blessed be He, brought about the result, not merely knew in advance what was going to happen. And when the Holy One, blessed be He, brings about the result, that certainly contradicts our free choice. Fine, if you tell me that when He knows in advance, He knows, but really everything is left to us, that’s a free action. But if the Holy One, blessed be He, brings about the result, then obviously He brought it about and it isn’t in our hands. So how can you punish a person for an action he didn’t actually do? He was simply a marionette on a string; someone used him in order to bring about that action or that result. To that Maimonides says that the Holy One, blessed be He, did not decree about any specific Egyptian that he would enslave Israel. The Holy One, blessed be He, merely said that the Egyptians as a collective would enslave the people of Israel. But each individual Egyptian had free choice; he could do it or not do it. And therefore every Egyptian who did do it is supposed to answer for it, because it was not dictated to him. The Raavad asks: what do you mean? I’m now putting this in my own words, but this is probably what lies behind the Raavad’s questions. Imagine there are a hundred Egyptians. Ninety-nine of them chose the good, not to enslave Israel. Does the hundredth Egyptian have the option of choosing not to enslave Israel? If he chooses that, then God’s forecast—or not even forecast, but plan—that the Egyptians would enslave Israel does not come true. That cannot be. The assumption is that what the Holy One, blessed be He, wants or foresees or brings about will certainly also happen. So that means that you can’t say, okay, regarding no individual Egyptian was there a decree; there is something here that did dictate the result. That is the Raavad’s claim. So I said that Maimonides is apparently assuming—and this is really the sting, the central point I wanted and still want to dwell on today—Maimonides is really claiming that what operated here was the law of large numbers. Meaning, in the end the Holy One, blessed be He, merely set the psychological circumstances perhaps, and the cultural or social circumstances, whatever it may be, but set the circumstances in such a way that, let’s say, there is a forty percent chance that an Egyptian will enslave Jews and a sixty percent chance that he won’t. Whereas in an ordinary case, let’s say there’s only a one percent chance that a person would enslave another person—why would he do that? But the Holy One, blessed be He, tilted the weights so that it became forty percent. Now each Egyptian individually could decide not to enslave Israel; he had that option. He could also, even if it was difficult for him, let’s say, not to enslave, he still could. But overall, if we look at a large number of Egyptians, then according to the law of large numbers, forty percent of them will enslave the people of Israel. And therefore if the Holy One, blessed be He, arranges the weights in that way, then although each Egyptian individually really does have free choice—he could decide yes or no—I can still say in advance what will happen on the collective level. Meaning that collectively, if you look at a million Egyptians, there will be around four hundred thousand there who enslave the people of Israel. That I can tell you in advance, even though every Egyptian has free choice. That is the claim I want to sharpen here.

[Speaker B] Rabbi, but if a representative of the Egyptians came from the outset and said, I represent all of them, and you’re already determining in advance that they’ll enslave Israel, then you’re giving collective punishment to everyone,

[Rabbi Michael Abraham] So—

[Speaker B] what kind of choice is there here?

[Rabbi Michael Abraham] I think you asked that in the previous lecture too. The question of punishment is a different question; I’m not entering the question of punishment right now. Let’s assume they punished only the Egyptians who enslaved Israel, for the sake of discussion. Collective punishment is an issue unrelated to me; it has to be discussed on its own merits—why are you punishing someone who didn’t sin? I want to discuss the question of why those who did sin were punished. So let’s say they punished only those who actually sinned. Okay? Independently, let’s leave collective punishment aside. There’s still a question here: what do you want from them, after all you dictated that they would do it, so why are you punishing them, even those who did do it? And to that Maimonides argues, as I understand him, that that’s not true. The result was not dictated to any individual; only the collective result was dictated. But every individual Egyptian had free choice, and if he decided to enslave Israel, he deserves punishment.

[Speaker B] And suppose the Holy One, blessed be He, dictated conditions such that 99.99 percent would enslave Israel, and still there’s a tiny fraction of a percent that he could refrain from enslaving. So even then, what’s the question? Then what kind of choice is there after all?

[Rabbi Michael Abraham] He has a much harder choice, and therefore there are mitigating circumstances for the punishment. The punishment he deserves will be much lighter, obviously. Just like when you put, I don’t know, a thief on trial. Witnesses can come and testify that he grew up in a difficult home and his condition was terrible and he was under insane pressures. He will still be punished as long as he had some possibility of overcoming and not stealing. But clearly, in considerations of punishment we will take into account the conditions within which he acted. If it was very, very, very hard for him not to steal, then the punishment imposed on him will presumably be lighter. A person who wasn’t in such difficult circumstances and still stole simply out of greed will receive a harsher punishment. But I’m speaking on the level of principled responsibility. The principled responsibility exists for anyone who has the option of overcoming. As long as you have the option of overcoming, you have responsibility. What level of punishment will you receive? That’s already arguments about sentencing. About that one can speak separately. And therefore I say yes, even if it was ninety-nine percent, the responsibility is still on you. Yes? Think about, I don’t know, Nazis, okay? The Nazis, within the circumstances in which they acted, at least in some places, almost had no choice. I don’t know, people working in concentration camps, okay? Who abused prisoners there. I assume—or let’s say, for the sake of discussion, let’s adopt the claim—they almost had no option. What were they supposed to do? They didn’t have much choice. Do I exempt them from responsibility because of that? No. But there is certainly room to consider leniency in punishment, because indeed in such circumstances perhaps an ordinary person would not have withstood it. But as long as you have the ability to resist, you are responsible for what you did. The principled responsibility exists. What is the intensity of the punishment? Even in law they divide that between the verdict and the sentence. Meaning, first of all you determine whether he is guilty, whether he bears responsibility. The sentence already comes with arguments about punishment; that is another question. So here too, in this context, I’m speaking right now only on the principled plane of whether responsibility rests on you. How much punishment you will get—that will definitely depend on the circumstances, the weights, and so on.

[Speaker C] Is it possible that during the decision-making process of the Egyptians, the Holy One, blessed be He, sees that something isn’t working out according to what He thought and He intervenes?

[Rabbi Michael Abraham] Maybe. I don’t know. It could be.

[Speaker C] Then again that dictates it? Because He wants to reach the final result.

[Rabbi Michael Abraham] If that’s really what happened, then they really do not deserve punishment. It could be that the Holy One, blessed be He, intervened because He wants the people of Israel to suffer for some reason, but you can’t impose punishment if you directed the person deterministically to perform that action. If the Holy One, blessed be He, only deepens even further the weights that push the Egyptians to abuse Israel, but does not determine it in a deterministic way, does not bring it about deterministically, then the responsibility is still on them. The moment He intervened and created the result deterministically, obviously they have no responsibility at all.

[Speaker C] But then He harmed free choice; He Himself harmed choice.

[Rabbi Michael Abraham] Exactly. He harmed free choice, and therefore they bear no responsibility, because they did not do it of their own free choice.

[Speaker C] Yes, but then it sort of doesn’t fit with the rule that there is free choice and yet there is foreknowledge?

[Rabbi Michael Abraham] I’m saying: you suggested that perhaps He intervened. I don’t know whether He intervened or not. If He intervened, indeed that harms their free choice, but then they do not deserve punishment. I’m saying, maybe in fact He did not intervene because He doesn’t want to take away people’s free choice. Free choice. By the way, in principle I do not rule this out. It is definitely possible that sometimes the Holy One, blessed be He, will take away free choice, because He decided that this He is not willing to let happen, for some reason. Just as an example, think of somebody—I don’t know—this scenario always goes through my head, and during the war it was even much stronger. Somebody starts, decides to press the red button. Which of course opens a Pandora’s box, and you don’t know where it leads. You fire the first nuclear missile, but the response and the whole automatic response—after all there’s a doctrine of mutual destruction and so on—you don’t know where it leads. I very much hoped—I had no idea, of course, what was right and what wasn’t—I very much hoped that if anyone ever made such a decision, the Holy One, blessed be He, would intervene and not let him do it. And I don’t think that contradicts His principled policy of leaving people free choice. There are results that He is not willing to let people bring about. He is not willing—perhaps, I don’t know—perhaps He is not willing to let people destroy the world, or destroy the Jewish people, or destroy just some nation, I don’t know. And then He would intervene, and I don’t think that can be ruled out. Why not? The principle of free choice is a principled one. Meaning, in principle, people have free choice. That doesn’t mean that always in every situation the Holy One, blessed be He, will leave it to them. For example, there are also situations in the legal world where a person is exempt from criminal responsibility because he acted under an irresistible impulse. He could not control his impulse, and therefore in such a situation he has no responsibility. Where is free choice then? A person in principle has free choice, but there can be situations in which something takes over him that he cannot cope with, and it is forced on him; he cannot withstand it. So I also do not rule out the possibility that the Holy One, blessed be He, can make such sporadic interventions and stop things He does not want to happen. In principle it can happen. I don’t know if it happens, I don’t know when it happens, but in principle it can happen. I don’t think that contradicts any basic theological or other principle. The principle is that we are supposed to have free choice in principle. That doesn’t mean that we always have free choice over everything we may want to do—that is a stronger claim. All right.

[Speaker B] Rabbi, can’t one also add to what the Rabbi said that conditions were created—the Holy One, blessed be He, as it were created conditions so that there would be sixty percent enslavement? That sixty percent isn’t something that was created because the Holy One, blessed be He, aimed it that way; rather, over generations a pretty wicked culture developed, and the Holy One, blessed be He, looked and said: look, I see that in a few generations this is going in the direction that they’ll enslave you. So they are responsible even for the sixty percent.

[Rabbi Michael Abraham] We need to decide whether that culture itself comes into being deterministically. Is it not a decision of human beings?

[Speaker B] No, no, no, it slowly developed through free choice. Yes, yes, at first maybe they were righteous, and afterward little by little—

[Rabbi Michael Abraham] Listen, listen. I’m not talking about the pace; the pace doesn’t interest me. I’m asking whether the process is deterministic. I don’t care whether it’s slow or fast. If that slow process is deterministic, then once again it’s the Holy One, blessed be He.

[Speaker B] No, not deterministic.

[Rabbi Michael Abraham] If it is the result of human choice, then you haven’t solved anything. Human beings still chose it.

[Speaker B] Right, so then the Holy One, blessed be He, told Abraham, “You shall surely know that your seed will be strangers,” because I’m looking at the Egyptians and I see that it’s heading there.

[Rabbi Michael Abraham] How do you see that? But they have free choice.

[Speaker B] But I see what a wicked culture exists there.

[Rabbi Michael Abraham] But the culture is also a product of free choice.

[Speaker B] Right, and they chose it.

[Rabbi Michael Abraham] What do you mean they chose it? Tomorrow they can choose otherwise.

[Speaker B] But the chance of that, when I look, I see that the chance is very small.

[Rabbi Michael Abraham] Then you haven’t added anything. That is exactly what I’m saying. The Holy One, blessed be He, gives a forecast that is a statistical forecast.

[Speaker B] Oh, a forecast, right, not a determination. Fine, that’s all I wanted.

[Rabbi Michael Abraham] And that’s my claim. But for that you don’t need to resort to culture and a process spanning years. I can do it all at once too; it doesn’t matter. The Holy One, blessed be He, gives a statistical forecast while every individual person has free choice. That is what Maimonides says. Only at the collective level, the big picture, can it be foreseen in advance. At least at a very high level of certainty, never one hundred percent. Only if there were infinitely many Egyptians would it be one hundred percent—the law of large numbers. But when there is a large number of Egyptians, though not an infinite number, then I can tell you with fairly high certainty that four hundred thousand will enslave Israel. But theoretically there could be a situation in which they all decide not to enslave; each one of them has free choice. And therefore the claim is that it is indeed possible to handle human behavior with statistical tools as well, including behaviors that are the product of free will, of choice. Which is a bit surprising and very unintuitive: how can you determine in advance, statistically, something that is the offspring of free choice? Now I’ll bring an example that perhaps sharpens even more the absurdity in this matter. This is column 539 on my website. I wrote it after a conversation with my son. One of my sons works at Facebook. He works at Facebook. And he deals there, yes, working with large companies that market online, and choosing marketing strategies, advertising strategies, marketing strategies, and so on. Now he’s sitting at the switchboard, so to speak—the algorithms. Meaning, you pay, and we build you a particular algorithm: what results will be popped up for people when they browse, and so on. Yes, we know these algorithms; they’ve gotten a bad name in certain places. In any case, he’s sitting there—he too, yes, not that he’s in charge of Facebook’s algorithms. But he uses that infrastructure, that platform, to promote products, I don’t know what, to market things for certain companies. Now he says to me: listen, you won’t believe how deterministic this process is. I can tell you in advance that if I do such-and-such, on such-and-such a day, this will be the result, and it’ll be exact, with tiny errors. And whenever I want, I play with people like marionettes. Meaning, if I now decide on a policy of 0.7 instead of 0.65, I don’t know, in raising such-and-such an advertisement or the size of the ad or the place where it appears—I don’t know exactly what—I’m telling you there will be a five percent increase in purchases of this product on Sunday at three o’clock. On Monday at eight, the increase will be only two percent. And he says, it works mathematically, you won’t believe it. He came to me all agitated. He says: listen, forget it, we’re basically just a swarm of ants. It’s unbelievable how, with a few keystrokes, you move billions of people exactly in the direction you decide on. And the results are foreseeable in advance, deterministically. I know—think of the example I gave him, as part of the answer. Think about the Mahane Yehuda market. Every Thursday—I’ve never been there, by the way, on a Thursday night—but I’ve heard that every Thursday night it’s packed with people. Okay? There are activities there, I don’t know exactly what, but lots of people. Now this is fixed, constant. And it’s not always the same people. Some people maybe come every Thursday, but no, a lot of the people are different each time. But every Thursday night there is a peak. And I assume that if you counted the people it would even be more or less the same number. More or less, plus or minus. Why does that happen? After all, every person decides for himself when to come, whether to come. The circumstances—obviously there are circumstances. Thursday is free time heading into the Sabbath, maybe there are performances there too, it doesn’t matter. Those are the circumstances. Like the algorithm on Facebook that determines things. Once you change the circumstances, boom, millions of people start behaving according to the new circumstances. I said to him, yes, but notice: does that mean people have no free choice? Of course not. On the contrary. Every individual can choose whether to go to the market, not to go to the market, buy the product you’re pushing at him, not buy the product you’re pushing at him. Everyone has free choice. But in the big picture, if I determine the circumstances, the weights—as I called them earlier, which are really the circumstances—in a certain way, then I know that such-and-such a number of people at such-and-such a time will perform such-and-such an action. And I can’t know who those people are. They could be different people each time. But somehow, out of a million people, I know that a hundred and fifty-two thousand will do this action at this hour on this day. A hundred and fifty-two is maybe exaggerated—one hundred and fifty. Fine? Between one hundred and forty and one hundred and sixty, if you want. Doesn’t matter, within certain bounds. But I can give you a very good forecast of what will happen when we are dealing with a group of a million people, each of whom has free choice. Does this phenomenon, when you look at it from above—think of an anthill, or bees. We look at it from above, and among those who study these phenomena, some relate to it as a single creature. As a single organism. The whole swarm, the whole nest, is really one organism, composed of all sorts of bodies, but functioning in some way like an organism, with division of tasks among the various organs of that organism—which are really the different ants or the different bees and so on. Now think about someone at Facebook looking at our behavior. He sees us as an anthill. He basically moves the weights a little for us, does this, and boom—suddenly instead of a hundred thousand people doing this action, a hundred and fifty thousand people do it. In the United States it’s like this; in Australia it’ll only be a hundred and twenty thousand. He already knows what each such thing will do in Australia, what it’ll do in the United States, when, depending on the time of day, depending on the evening, depending on all sorts of such parameters—but he knows how to manipulate it according to the circumstances and he’ll tell you what will happen. And if he doesn’t know, then he’ll study the thing a bit, and after some time following the results, he’ll know. And that gives a very difficult feeling, or a very problematic one, because it basically says—after all, these are all the recurring threats people keep raising, that they’re basically controlling our minds. The algorithm people at Google, at Facebook, and so on, are controlling our minds. We’re basically like marionettes they play with. But notice: that is a mistaken picture. It’s a mistaken picture because they control things on the collective level. They can tell me that out of a million people, a hundred and twenty thousand will do such-and-such, whereas without Facebook’s intervention only eighty thousand would do it. After they made the intervention, a hundred and twenty thousand out of a million will do it. That they can say, more or less. But every individual has free choice, with Facebook or without Facebook. That does not mean that we have no free choice. This collective behavior, this terribly herd-like picture—herd in the literal sense—very uniform, like some enraged crowd washing in the direction in which it is pushed, that picture is true on the collective level. But every individual has free choice. And that is the great wonder—from another angle, the same great wonder I spoke about earlier—that one can handle human behavior with statistical tools, even though each individual can behave freely, has free choice. Still, on the collective level, one can give statistical forecasts, statistical manipulations, manage people, cause them to behave one way or another, and all this does not mean that our world is deterministic. And people have a very strong tendency to think that if this is really what’s happening, then there is no free choice, then the world is deterministic. No, not at all—or at least not necessarily. It is not necessary. Because even in a world where every person has free choice, changes in the weights will change the collective result, the collective statistical result, even though every person has free choice. And that is the great wonder: that statistics works on events that are not random, and also not deterministic, but rather events that depend on free will. Now, what exactly is the meaning of this? Let me perhaps explain it a bit more.

[Speaker B] Rabbi, can I ask one more thing? Yes. If, say, most of humanity, by default, freely gave up—gave up free choice—and thought like a herd, like sheep that think the way the whole herd thinks. There are a few who think differently, or think a little differently, or think more differently, but the default of most of humanity is to do what everyone does in an almost genuinely deterministic way. So if that’s what happens, then in fact you see that most of the population really are sheep. Here and there you have sparks of people who think for themselves.

[Rabbi Michael Abraham] Good. I’ll answer on two levels. First, even the decision to go with the herd is a decision. He could have decided otherwise; he decided to go with the herd.

[Speaker B] Definitely, but that’s a choice you make once, and then you’re already a sheep.

[Rabbi Michael Abraham] So still, the result is the result of choice-based behavior, and in the end he chooses to go with the herd. That’s the first point. Second point: even if you’re right, which is why I was careful earlier, I was precise earlier and said—the herd picture, that big statistical picture, does not necessarily mean that the world is deterministic. It could also be behavior that comes from free will and still, on the collective level, look like that. What you’re saying is that it could also be otherwise. Right. Obviously, in a world where everyone is duplicated, then once you determine the behavior, everyone will do what you determine. That’s trivial, that’s obvious. I didn’t claim that can’t happen. What I claimed is that it’s not necessary. Because even in a world where every individual has free choice, the big picture could still look quite similar. And that’s the important point. I didn’t claim it’s always like that. I didn’t bring proof that there is free will. I said that this thing is not proof against free will. It could be that even in a world of free choice the big picture would look like this. Obviously in a deterministic world it would look like this; that hardly needs saying, it’s obvious. All I wanted to claim is that it’s not necessary; it could also happen in a world of free choice. So the point is, this collective picture—we all have a very strong tendency to let it mislead us, because we have some feeling that if that’s how it is, then these are marionettes. And that’s why, by the way, the enormous outrage against social-media algorithms—much of it, in my opinion, comes from this. People basically feel that these guys in Silicon Valley—or even the algorithm itself, forget the guys, they already wrote the algorithm and went home, now we’re talking about the algorithm itself—basically control our minds and we become its slaves. But that’s not true. It doesn’t control anyone’s mind. It sets circumstances such that each one of us, when he chooses freely, it may be—not that it’s not true, but it may be untrue, yes?—each one of us who chooses freely, still, collectively it will look like that. None of us is mentally controlled by a Facebook algorithm. That’s an incorrect way of looking at it. Facebook’s algorithm determines our collective behavior. Each one of us has free choice. Now I’ll add two more things, two reservations. Obviously, say Facebook applies some weight so that if I’m in an ordinary state and there’s a product in front of me, then let’s say there’s a fifty percent chance I’ll buy it and a fifty percent chance I won’t, just for the sake of discussion. Now Facebook applies its weights and that turns into sixty percent. Okay? Now then obviously I still have free choice. On the collective level there will be sixty percent who buy and not fifty percent who buy. But something also happens on the individual level. I too, although I have free choice, the side of yes-buying becomes stronger or more attractive for me. Meaning, the likelihood that I’ll buy also increases as an individual. It’s only because of that that on the collective level there are more buyers. On the collective level there are more buyers because something is also happening on the individual plane. On the individual plane, the weights among which I maneuver—and I can overcome any of them, even ninety percent I can overcome, it’ll just be harder for me—but it is definitely an influence that also affects the individual person. When Facebook activates its algorithm, then it will already be harder for me not to buy. I have free choice, I can still overcome it and not buy, but it’ll be harder. And therefore on the collective level there really will be more buyers. So the picture I described earlier is not a complete picture. It’s not true that they control only the collective behavior. Control over collective behavior begins with some different shaping of the circumstances in which the individual operates, and then as a result a change is created on the collective level. But what is true is what I said earlier: that still, on the individual level, we have free choice. And free choice does not mean always choosing between fifty percent and another fifty percent. Even between eighty-twenty, that is free choice. Harder, but it’s in my hands. I can decide to make the effort and go with the twenty percent, with the twenty-percent option and not the eighty percent. That’s why I call such a situation a situation of free choice. Free choice does not mean absolute freedom; rather it means that you are not compelled to do what you do. It’s in your hands. Sometimes it will be very hard for you, fine—like I said earlier about the thief, that if he comes from a difficult home and he’s in financial distress and so on, it’s very hard for him not to steal. But still, if he could have withstood it, then he bears criminal responsibility, so he’ll be judged and found guilty. As for the arguments concerning punishment, they’ll discuss that afterward already—here there are mitigating circumstances. But the responsibility exists, and that’s what I call free choice. Free choice does not mean a choice without influences, a choice in a vacuum. No, we operate within circumstances that press on us and dictate things and do various things to us, and therefore sometimes it may be harder for us to choose one way and sometimes it will be easier. Circumstances affect us, and among other things circumstances shaped by algorithms, but still we have free choice in the sense that the circumstances do not dictate what we do, they only influence what we do. Yes.

[Speaker D] Something interesting happens: specifically in a society with supposedly free choice, the law of large numbers will work more than, say, in a dictatorial society where basically there is one person.

[Rabbi Michael Abraham] That was my next point. Meaning, up to here that was the first point, that there is indeed an effect on the level of the individual person. But another point—look, regarding—let’s go back to the die, yes? That’s the example I always give for the law of large numbers, or a coin. Let’s talk about a coin. I toss a coin. If the coin is fair, then the odds are fifty-fifty on every toss. And of course on each toss I can’t know what will come out. It’s free, either heads or tails. But if you toss it a million times, then I know that half a million will be heads, half a million will be tails, plus or minus a little. But the larger the number of tosses, the more I converge on the a priori probability, yes, the prior probability, which is fifty percent in the case of a fair coin. Now let’s say someone wants to intervene and change the collective behavior of the tosses. So here, yes, what I described earlier. But I’m not going to talk now about human beings but about a coin. But as far as I’m concerned the coin models a human being for the sake of discussion. What is he supposed to do? He is supposed to create an unfair coin. To distribute its weight in such a way that there is a greater chance it will fall on heads than on tails. Say there is seventy percent for heads and thirty percent for tails. Okay, suppose he succeeds in making the coin that way. Now, on every coin toss, it can still come out heads and it can still come out tails. In that sense each toss is free. It’s deterministic of course, it’s only a parable, but each toss is free in the sense that either of the two results can come out. But clearly, on the collective level, seventy percent of the tosses will fall on heads and thirty percent on tails. And I’ll say more than that: even in the individual toss, it’s true that heads can come out and tails can come out, but there is a seventy percent chance of heads and thirty percent of tails. Meaning, it’s harder for tails to come out even in the individual toss. Same thing as with human beings. But now one more important point. You need something else for the law of large numbers—maybe I forgot and mentioned this too—for the law of large numbers to work, you need independence between the cases, between the trials. When I toss a coin a million times, or toss a million coins, it doesn’t matter right now, each trial has to be independent of the others. If there is dependence between the trials, the law of large numbers won’t work. Let’s say I have a fair coin. So the law of large numbers says that fifty percent of the time it will fall heads and fifty percent tails. If I do a great many tosses, in principle it should come out half heads half tails. But that’s all on the assumption that each toss is independent of all the other tosses. Each time it’s a new game. But if there is dependence between the tosses—for example, once my hand throws the coin this way, and then I get attached to that direction, so I keep sending it more or less in that direction, a little this way a little that way but more or less—then there is dependence between the tosses. And once there is dependence between the tosses, no one is promising you it will come out fifty-fifty. And therefore, surprisingly or ironically, precisely when there is independence between the tosses, that is exactly when you can predict the result in advance. Which is strange. I would have expected that if there is dependence between the tosses, then I have more control over the result, I can dictate it and there is dependence between the tosses, so basically everything will go in a similar direction and then I’ll be able to predict what will happen. But if there is independence and every toss can produce any result I want, then you can’t say anything about what will come out. That’s what I would have expected; if you asked me offhand that’s probably what I would have answered. It turns out reality is the opposite. If there is dependence between the tosses, it’s much harder to predict what will come out. You can, by the way, but the distribution is different; it won’t come out fifty-fifty. But if I know the nature of the dependence, then I can also say something about what will come out. But if there is independence between the tosses, I’ll tell you exactly what will come out: fifty-fifty if you do many tosses. Meaning, precisely when the tosses are not dependent on one another, and in each toss either one of the two possibilities can occur, precisely then I can say with absolute precision what the collective, global result will be. It is precisely the freedom of the individual case that determines the collectivity of the global phenomenon, the large phenomenon. It is precisely because each individual functions independently of other individuals and has free choice. Now I return from coins to human beings. Precisely because each human being has free choice and there is no dependence between one person and another, precisely then I can tell you what the collective outcome will be. If there is dependence between people, it may be that the trend will be more effective because people will drag one another along, but I won’t be able to predict what will come out. The ability to predict what will come out exists precisely when there is independence. And that reinforces even more what I said earlier: the fact that I see a rigid collective conduct that has statistics, that can be predicted in advance, and so on—I said earlier it does not necessarily mean that the picture is deterministic. It can also happen in a situation where every individual has free choice. Or every coin has a completely random toss. Now I, in light of what I’ve just explained, am going one step further. Not only can it happen even when that person has free choice, but it will happen mainly when that person has free choice. Because if there is dependence between human beings, then even if Facebook tilts seventy percent this way and thirty percent that way, if there is one person who chooses in the direction of the thirty percent because he is stronger than the others, more determined, with more backbone, he will drag other people after him if there is dependence. And then in the end the result won’t be seventy-thirty. Maybe it will even be fifty-fifty. Meaning, where there is dependence, you won’t be able to control the result in the same way. You can control the result absolutely precisely when each individual is completely free. When we have absolute freedom, control over us is absolute. That almost sounds like—not almost, it sounds like a logical contradiction. But that’s how it works. It’s a statistical fact. And that reinforces the point even more, and that’s also what I said to my son; when I spoke with my son then, I said to him, listen, not only is it possible that people choose freely, but the fact that you can predict in advance what will happen means they choose freely. Because the fact that the law of large numbers works probably means there is independence. Now regarding Facebook, by the way, that’s not exact. Meaning, because it doesn’t know how to predict what will happen, but of course it can steer them in directions. And when there is dependence sometimes it will work better. Sometimes not, but sometimes it will work better. If enough people go in the direction of the seventy percent, then even people who otherwise would have gone with the thirty percent will be dragged along and will also do the seventy percent, and then it will come out eighty or ninety percent and not seventy. So the advertisement will be more effective. But predict what will happen—you won’t be able to.

[Speaker D] Influence—you can,

[Rabbi Michael Abraham] predict—you can’t.

[Speaker D] Facebook’s advantage is that there is dependence to one side, meaning the side that wants, say, to spread something or be influenced by something—the level of dependence it creates, the effect it creates on the environment, is greater than the side that is in part passive, so to speak. As if he can’t not share—what does he do with it? Say a person gets information, he shares it, tells it to his friend, something like that.

[Rabbi Michael Abraham] Sharing can arouse antagonism in me and it can arouse sympathy in me.

[Speaker D] It’s not certain that it will go to the same place you’re going.

[Rabbi Michael Abraham] Sharing can take you somewhere else.

[Speaker D] Right, but sometimes the two sides are indifference versus engagement, and there the impact is already strong.

[Rabbi Michael Abraham] I’m not pretending here to analyze all the possible situations. What I am trying to do is point to an interesting phenomenon. This interesting phenomenon says that the ability to predict what will happen increases—or exists precisely when each one of us has free choice. What happens when there are influences? Okay, it can go in many directions. I didn’t mention all of them; I mentioned some. It’s certainly plausible there are other directions too; that’s not important to me. I’m not trying to give you the picture of all the options. Rather, I’m trying to draw your attention to this fact, which is very unintuitive. And then my son comes and says, for them it’s obvious, they laugh, human beings for them are an anthill. They play with them as they wish: I turn one knob, you send the people here; turn another knob, you send them there. So obviously all people are just marionettes. Not true. Meaning, there is something here that is—meaning if before I said it’s not necessary, now I’m already saying it’s almost necessary that it isn’t so. Which of course still isn’t true. If it’s complete determinism, then obviously this will work perfectly. But if it isn’t complete determinism, then precisely total independence will give you the ability to predict well what will happen. So that’s regarding the picture of statistical regularity in human behavior. Now let’s go a little more into an explanation of how this thing works. Here there is the outline that has probably already penetrated to some of you, maybe from reading or hearing me, because I’ve said this more than once and I’ve written it. I’ll describe it briefly because I think it lies at the root of all these phenomena I’m talking about. When we talk about free choice, very often there is, say, when you see for example—you find the gene responsible for violence, okay? If researchers isolate some gene that characterizes violent people, then this is perceived by them and by many others as proof that we don’t have free choice, that the world is deterministic, because your upbringing controls you, your genetics control you, whatever. Environment—nature or nurture—but both of those things control you in some way. But obviously you can never really predict what a person will do even if you have his full genome. All these predictions, or all the correlations they find, are statistical correlations. Meaning, people with such a gene will tend more to behave violently in certain situations than people without this gene. But you can’t say: you have this gene, therefore you will be violent in this situation. Never. Why? Exactly because of that same phenomenon I talked about before: genetics are a kind of weights that can pull me this way, push me that way, but I still can decide what to do with these genetic weights, to act against my genetics. I can. I have the violence gene, but I’ll decide to overcome it and not be violent. That can happen. In the meantime, courts do not exempt a person who was violent even if it is shown that he has the violence gene. Why? Because it’s clear that the violence gene only pushes him to behave violently, but he still could have stood firm and resisted and not been violent. In arguments about punishment they can of course take that into account, but as for responsibility itself, the responsibility exists. That’s what I said earlier. What I basically want to say is that all these influences we talk about—a person born in a religious home usually becomes religious; a person born in a secular home becomes secular—again, broadly speaking, there are broad correlations. A person who has this gene behaves like this, a person who has that gene behaves like that. There are already genes supposedly responsible for faith / belief, stinginess, violence, kindness, whatever you want, you name it. Some of these things are nonsense, some of them are indeed findings people found, but usually the talk about them is exaggerated. But yes, there are such correlations, that’s obvious. The notion that a person who believes in free choice is therefore supposed to predict that genes will have no influence at all on behavior—that is a mistaken notion. A person who believes that human beings have free choice also accepts the findings of genetics. He accepts that genes affect me. He only claims that genes do not determine what we do; they only influence it. I keep coming back to the same conclusion, to the same claim, like the Holy One, blessed be He, with the Egyptians. And therefore if you take a million people with this gene and a million people without this gene, then you’ll discover that in the first million there will be more violent people than in the second million. That’s true. But regarding no specific individual will you be able to point and say: he will behave violently in this situation because he has this gene. That’s not true; that will not happen. But what you will be able to say is that there is a greater chance that he will behave violently. That is true even regarding an individual person. He can overcome it, and there is a greater chance. And therefore when there are many people, the law of large numbers says that the percentage of people who behave that way will follow the probability for the individual person. Yes, that’s the law of large numbers. The probabilities you determine regarding an individual person or an individual coin toss will determine the percentage of results that match that outcome. It will follow the a priori probability distribution. What this actually means is that when we look at a human being in a libertarian picture, in a picture where he has free choice and not in a deterministic picture, then I describe it by way of a parable of some topographical layout. Think of some topographical layout of mountains and valleys and saddles and plains and things like that, hills and so on, different heights, different slopes, yes, some topographical layout. Now if you take a small ball and place it somewhere, the layout can tell you where the ball will end up, right? The layout determines where the ball goes. You can do the calculation and know where the ball will end up, and at what speed too, and everything. Same thing with a stream of water: if you pour water somewhere, it will tell you where it will flow. The layout determines it. If there’s an uphill and a downhill, water goes down, it can’t go up. In quantum theory there is some tiny chance that yes, but never mind; in classical mechanics, no. Okay? So that’s the topographical layout. The determinist’s claim is that a human being is basically a little ball. There is a topographical layout within which he acts; that topographical layout is the collection of circumstances, dictated by genetics, environment, education, upbringing, friends, influences, media, whatever you want. All the influences on human beings, whatever you want, gather them all, draw some topographical map. That map basically says that in every situation the person is in, in which directions he is drawn and from which directions he is repelled. Suppose I’m standing at a certain point on the map. If there is a mountain in this direction, then it will be hard for me to go up there, yes, so I—if I were a little ball—I would not go up there. If there is a valley in that direction, then I would probably roll there; that’s what happens to a little ball. And wherever you place the little ball, the terrain will tell you where it rolls, where it ends up. What happens with human beings? What happens with human beings is that if you place them somewhere on this layout, and here there is a mountain and here there is a valley, it will be harder for the person to climb the mountain than to go into the valley. That is true for human beings just as for little balls: human beings are physical creatures; to climb a mountain you need to expend energy; no human being is exempt from that. The difference between a person and a little ball is that a person can decide to invest that energy and still climb. Even though there is a mountain in this direction and a valley in the other direction, the person can decide: fine, but I want that challenge or that difficulty, and I decide to climb and not roll downward. Now of course this topographical contour is a parable. When I’m in a situation and somebody punched me or provokes me, now for me that is like being at some point on the topographical map. If I went through a certain education and I have such-and-such genes, then my tendency to punch him back might be seventy percent, twenty percent, ten percent, ninety percent, I don’t know—depending on the circumstances that influence me. So the topographical layout basically says like this: in this direction—which is the direction of throwing a punch—I have a valley. It is very easy for me to go in this direction, to punch him back. In the direction of not punching him, there is a mountain. It’s very hard for me to restrain myself and not punch him back, yes? I’m now explaining the parable. And therefore if I’m standing at such a junction—a junction where someone provoked me—and my circumstances are the given circumstances, there is around me some topographical layout that describes the prices I will pay, or the difficulty or ease, for every step I might take. I describe it in the parable by way of a wadi or a mountain or a hill, a steep slope, a gentle slope, a saddle, whatever. Okay, the important point is that even someone who believes in free choice does not deny that we act within a topographical layout. On this point I agree completely with the determinist. The determinist thinks I operate within a topographical layout and, like a little ball, the topographical layout basically determines what I will do. The libertarian does not deny the existence of a topographical layout; he only claims that a person acting within this topographical contour is not a little ball. There is a topographical contour, and the topographical contour tries to pull me there and not let me go there. The difference is that I am not a little ball. It wants not to let me, but I can overcome it and go anyway. And sometimes “go” is by passive omission, yes—it means not hitting back—it doesn’t matter, okay, or positive action, not important. But this parable of the topographical layout shows that the influences on human beings—genetics, environment, education, everything—are certainly agreed to even by the libertarian. They are not the property of the determinist. Therefore all those who show statistical studies in psychology about how this affects that, and genetics and so on, and see in this an indication of determinism, are mistaken. The libertarian also agrees that there are influences on us, and upbringing influences us, and genetics influence us—completely clear. The difference between the libertarian and the determinist is only the question whether the contour influences the person or determines what the person will do. The determinist says the contour determines what you will do, like a little ball. The libertarian says the contour influences what you will do but does not determine it. You can decide to go—yes, to accumulate potential energy and lose other energy—you can decide to do that as a human being and not as a little ball. Okay? And therefore the point is that if I’m at a certain point on this topographical layout, and now one has to predict what I will do, then of course if I were—if I had to predict what a person would do, and suppose I had the whole of this topographical layout in my hands, suppose the whole mental map of this person were spread out before me like a garment, yes, I know everything, with absolute psychological knowledge, just for the sake of discussion, yes—then clearly… if I had to bet, I would bet that he would go to the valley and not to the mountain. Notice, for example, his values can also be part of the topographical layout. Meaning, if the mountain is doing something good, yes, and it’s hard for you to do something good, but you have a strong urge to do good because you were educated that one should be a good person, then in the direction of doing that good deed there simply won’t be a mountain, because your education too is supposed to be built into this topographical map. It includes everything. All right? For the sake of my parable. So when a person stands there and they ask me, tell me, what will he do, I will usually give a prediction that he will go in the direction of the valley, not climb the mountain, right? That’s the higher probability. But of course I may be wrong and he may decide to climb the mountain, because he has free choice. What happens if I place a million people there in the same situation? Each time someone else, and I repeat the experiment all the time. So if, say, the chance of climbing the mountain is twenty percent and eighty percent that I slide into the valley or roll into the valley, then if there are a million people there, although each has free choice, eighty percent of them will go to the valley and twenty percent of them will climb the mountain. Meaning, what happens with a million people? I will use the topographical map and tell you exactly what will happen. And if you take enough people so that the law of large numbers works, then my prediction will be a good prediction. But regarding an individual person, I have no way to predict deterministically. If I had to bet, I would bet that he would go to the valley and not climb the mountain, because that’s the higher probability, but there is never certainty. And so the fascinating phenomenon is that even though every person has free choice, if you give me this topographical layout, I can still give an excellent prediction of what will happen with a million people in the same situation. Not only despite the fact that each one has free choice, but because each one has free choice and there is independence among them, I can give a prediction of what will happen there. I’m simply summarizing what I’ve said until now through this parable of the topographical map. And this basically means that if I do psychological research on human behavior, I too as a libertarian understand that this will probably work. I will be able to find statistical regularities in human behavior even though I’m a libertarian and I think there is free choice—perhaps precisely because of free choice, statistics will work there too. And if I find a connection between frustration and aggression, the libertarian too will agree that there is a connection between frustration and aggression. He will only claim that it is a connection that expresses influence, not determination. It’s not that you can say with certainty what a person will do; you can say almost with certainty what will happen with a million people. That yes, but not about an individual person. Now here there is an important point when we think about psychology. Look, people often discuss whether psychology is a science. Popper, as is well known, said no—at least psychoanalysis, yes, he said no. Fine, nobody really claims psychoanalysis is a science, that’s trivial, but there are many arguments. I also wrote a column about this on the website, and my claim there was that one can speak of statistical psychological laws and see that as a scientific claim that can be subjected to a test of falsification or confirmation. If you have a law that establishes some connection between a gene and behavior, say for the sake of discussion—take a thousand people with this gene, a thousand people without it, test them, put them in the same situation and see what happens with these thousand and what happens with those thousand. And the psychological law is supposed to predict what will happen there, and therefore there are laws in psychology in principle. Often we don’t know them exactly and there are many exceptions, but there are statistical laws in psychology. That’s true. But that does not mean psychology proves that human beings behave deterministically. Absolutely not. More than that: if I had—after all, when you ask psychologists, okay, so why if there are laws in psychology and if it is a science, then why doesn’t it work for the individual person? Why can’t you tell me what each individual person will do? Many psychologists will tell you, and philosophers will tell you, because it’s very complex. I disagree. It’s not because of complexity. I claim you won’t be able to say it even if the whole map with all its complexities is in your hands. Everything is before you, the entire topographical map of the person standing before you, spread out before you like a garment. You have ultimate psychological knowledge, you are the Holy One, blessed be He, Himself. You know everything—about the person, about psychology, about everything. Even the Holy One, blessed be He, will not be able to predict with certainty what this person will do. He can predict what a large group of people will do, because He truly has the full psychological map. We don’t, and therefore even in prediction about many people we won’t always succeed. But that is only a difference in how much knowledge we have, how much ability we have to understand the human soul. The Holy One, blessed be He, has absolute ability. But to the extent that you understand the soul, that only tells you what the topographical map is within which this person operates. But once there is a topographical map, the person still has free choice to decide whether to climb the mountain or roll into the valley. And no one can predict that, because it is not determined by the topographical map. On the contrary, it is influenced by the topographical map, but in the final analysis that decision is an independent decision. And you decide whether to climb the mountain or go down into the valley. Therefore, even if we were to finish all psychological research and all psychological knowledge were in our hands, and let’s say there are absolute psychological laws and I know them all, so complexity is no longer relevant—I already know all the complexities, everything, there is no problem, I deal with all the complexities, I have a supercomputer that knows how to do all these calculations to the end—even then I will not be able to predict what an individual person will do in a given situation. I can bet, but I cannot predict. Why? Because after all that topographical map, he still has free choice. And therefore the problem of psychology—why it cannot deal with… Psychology is a science on the level of the behaviors of collectives. Same thing with social psychology. I’m not talking about a collective in the sense that it acts as a collective, but about a set of many people in a given situation, each one separately. I’m not talking now about collective action. That’s social psychology. I’m talking not about social psychology; I’m talking about the psychology of an individual person. Fine? The psychology of an individual person—but when I talk about many human beings in a given situation and each one separately, each one separately arrives at that situation and reacts as he reacts. This is not a collective of people; it is a collection of many individuals. And now I ask what will happen there—as a psychologist, in principle I know how to predict it. And if I don’t know, then more research is needed, but I’ll know. But what an individual person will do—even if I finish all the research and everything is in my hands—I will not be able to predict. And I won’t be able to predict not because of complexity—as I said, suppose I even solved the complexity—but because the map does not dictate the result; it only influences the result. And what dictates the result in the end is the choice, what you decide to do with the map within which you operate. And that is your free decision. But what is very striking here is that in large groups of people, statistics will still work. The map will determine what the picture looks like across a large group of trials or human beings. That yes—that exists also for behaviors of human beings exercising free choice, which is surprising. But it’s a fact: psychology can work in large groups. With individual human beings I am very skeptical about psychology in general. Not even as a science—it doesn’t need to be a science—but in general I have rather limited trust in the effect of psychology on a person. Or in the effect of its discipline on a person. Every person influences another person. But the question is how far the discipline here really gives you tools for improvement. I don’t know; I’m pretty skeptical about that. But on the level of the human collective, on the level of many people, I do think that the laws of psychology teach us a lot about human nature—where “human” means the human species, not the specific person standing before me. In that sense psychology can be a science. When you come to apply it to an individual person, it becomes technology, not science. Because when you try to take the laws of science and apply them to a particular case—like repairing a car according to the laws of mechanics—that already becomes technology. Now with a car it makes no difference, because the laws of physics always work; they are not statistical laws. So in every car, in principle, it will work, and if not, then you simply missed something. Human beings are not cars. There is no technology for the science of psychology—there is no technology. Physics has technology, chemistry has technology, biology has technology. Psychology has no technology. The treatment of a person, of a therapist treating an individual person, should not be seen as a technological application of his scientific knowledge. That’s what I want to say. Okay? It isn’t—because otherwise it should have worked on every person, or at least unless you missed something and it’s too complex, but in principle, if you had the full knowledge, it should have worked on every person. And it doesn’t; it won’t work on every person even if you have the full knowledge. That’s my claim at least. And that does not contradict the fact that at the level of general laws it does work. There are laws of psychology; there is something to learn in psychology. And it can also be tested in the lab, experiments can be done, and these are scientific claims in principle—just on the collective statistical level. It’s like saying: I have a scientific claim that the Egyptians, in such a situation, enslaved the Jewish people. Regarding each Egyptian individually, I don’t know what he’ll do. He may do it, he may not do it. But I can tell you that if there are a million Egyptians, there will be quite a few among them who enslave the Jewish people. That I can tell you. And therefore on the scientific level you can say it; on the technological level, no. Okay? That is basically the meaning of statistics for human behavior.

[Speaker B] Rabbi? Yes. If the Rabbi included in the topographical map also the person’s scale of values, also the things he believes he ought to do?

[Rabbi Michael Abraham] I’ll be more precise.

[Speaker B] Also the things…

[Rabbi Michael Abraham] Wait, let me sharpen it a bit.

[Speaker B] Also the things he feels he ought to do—then what is left for free choice?

[Rabbi Michael Abraham] Let me sharpen that for a moment. I’m not putting into the map the values that I choose. I’m putting into the map the values to which I’m already committed. I can still choose to go with other values, or not to go with my own values. But the things that already exist within me are also part of the map, even if I myself chose them and created them. If at the moment they exist and they affect me, then as far as I’m concerned they’re part of the map. But I can still say—as I’ve said more than once—that I don’t choose what is good and what is bad. What is good and what is bad is given. I choose whether to be good or to be bad. And therefore what is good and what is bad is part of the map. My choice whether to go with the good or to go with the bad is really the place of free choice. I spoke about Ilon—yes, what’s his name—Ari Ilon. Ari Ilon with the rabbinic person and the sovereign person; whoever has read it knows, I’ve spoken about this a lot. So there I’m really talking about this mistake. He, Ari Ilon, talks about making a distinction between the rabbinic person and the sovereign person. The rabbinic person is the religious Jew, and the sovereign person is the secular person. And he glorifies the secular person because he is sovereign, he chooses his own values, unlike the rabbinic person, for whom they basically dictate what is good and what is bad and what the values are and what is forbidden and what is permitted. Now, that’s just a categorical nonsense. He’s mistaken at the conceptual level. I’m not even getting yet into the value dispute or the factual dispute. There too I don’t agree with him, but he’s conceptually wrong. Because no person chooses what is good and what is bad, not even a secular person. No secular person chooses that murder is good; he too knows that murder is bad. He chooses to murder despite the fact that it’s bad. Good and bad are given; you don’t choose them. No more than the religious person chooses his religious good and evil. There’s no difference in that basic sense. The only difference is that you didn’t choose to be committed to religious good and evil, only to moral good and evil. But from the standpoint of the logic, the values themselves are not something you choose. You choose whether to respond to them or be committed to them. Right now I’m talking about moral values. There are more subtle things, like capitalism and socialism. There a person really does choose whether to be a capitalist or a socialist. But there he’s really choosing what seems good in his eyes; he’s not choosing whether to be good or bad. The picture I described earlier is a picture that has gray areas. In principle, then, you need to understand that when I said that values are part of the map, I meant those values that already exist within me and are data from my standpoint, and therefore they also affect me. And now I have to decide what to do with all this, including my values, and decide what I’m going to do with it. And that’s the place where free choice comes in.

[Speaker B] So according to the Rabbi’s approach, for example, Socrates’ view won’t work, it won’t hold? In the sense that if you’re convinced of something, you don’t do what you don’t want, and you do what you believe is good—you do good for sure?

[Rabbi Michael Abraham] That’s the question of weakness of will. I do—yes—I assume, of course, that there are situations of weakness of will. I’m not going to get into that here, but yes, on the website, if anyone wants, you can see there two columns on the issue of weakness of will. I do think there are situations of weakness of will, and a person does not… But that really is already a discussion that goes beyond the framework of this series. Just one last sentence I want to add: this phenomenon of collective behavior, which is very deterministic even though at the individual level there is non-deterministic behavior, also exists in quantum theory. Did I mention this? I don’t even remember anymore. In quantum theory, why is it that in systems, in large bodies, we don’t see quantum phenomena? Why do quantum phenomena exist only at the level of the electron? After all, what is a large body? It’s a great many electrons. So what? Then why is every electron affected by quantum theory, but large bodies move according to Newtonian mechanics? No ball passes through the wall, even though electrons can pass through the wall. Why? It’s the law of large numbers; it’s exactly the same phenomenon. That is, each such particle behaves in a non-deterministic, random way, with one set of statistics or another. But since a ball is a collection of a great many particles, then the law of large numbers basically says that the ball will behave in the way we predict in advance, in a deterministic way. Which is really that it will follow the average of each little particle taken separately. Each little particle by itself won’t necessarily follow its own average; it’ll go here, it’ll go there. But if you take many particles, the behavior of the whole, of the collective of particles, is really the behavior expected in advance, the a priori probability, the average or the expectation. Okay? And therefore the transition from quantum mechanics to classical mechanics is also an example of the phenomenon I talked about today: that very many cases, each one of which by itself is not deterministic, can create a collective that behaves in a completely deterministic way, so that I can predict what will happen there, and everything is as it should be, everything happens the way we know from our everyday lives. It’s exactly the same phenomenon. And so this point is very confusing, but one has to notice: it’s true. And in a great many places we fall into mistakes because we don’t notice this point. The law of large numbers is a cornerstone both in statistics and in our worldview. And it’s the basis of a great many mistakes we make in looking at the world. Yes, like the mistake of seeing the world through the window of Facebook. That causes someone to think that everyone is deterministic—that’s the same mistake. It isn’t true. Okay. We’ll stop here. Any questions or comments?

[Speaker E] Please, yes. If possible—sorry that I’m going back over things that I think you already explained—but to ask: in hindsight, after the law of large numbers, when we saw that seventy percent go this way and thirty percent that way, can’t one say that those who acted in the way that we knew in advance would make up such-and-such a percentage—that this means determinism really does work, but there’s just a different threshold for each and every person? There’s one person who is weak, so obviously he crossed into the category of those we expected in advance. But also those who were more…

[Rabbi Michael Abraham] I’ll say it again: you can say that if you’re a determinist. Because what you’re really saying is that the person’s choice too is predetermined. If he’s weak, he’ll go down into the valley; if he’s strong, he’ll climb the mountain. And I claim—I’m a libertarian, not a determinist—and therefore I claim that this isn’t true. I have no proof that it isn’t true. It’s not that I’m claiming you’re wrong; I’m only claiming that what I can prove is that you are not necessarily right. Meaning, even if you’re a libertarian, conduct of this kind does not contradict libertarianism. It doesn’t force me to be a determinist.

[Speaker E] Yes, yes, I accept that one hundred percent, I accept that one hundred percent. I’m only asking whether one could also see things in such a way, that it’s only a matter of… everything is a matter of price. But then not…

[Rabbi Michael Abraham] No, but again—then there really is no responsibility on the Egyptians who were wicked. That’s the Raavad’s difficulty. Because basically, everything is predetermined. I don’t care whether it comes out sixty-forty. But the sixty-forty distribution is also deterministic. It’s just that the stronger sixty percent won’t enslave Israel, and the weaker forty percent will enslave Israel. So the fact that the prediction is not a deterministic prediction but a statistical prediction does not mean there is no determinism here. Obviously the deterministic interpretation can definitely exist here too. That’s clear. I’m only arguing that it isn’t necessary. Okay?

[Speaker F] Rabbi, is the law of large numbers a kind of answer to the question of divine foreknowledge and free choice, right?

[Rabbi Michael Abraham] Meaning, not as though… why? Why yes? How would you explain—how would you explain that a person has free choice and nevertheless the Holy One, blessed be He, can predict in advance what he will do through the law of large numbers? There are no large numbers here; there is one individual person with one individual act. That’s exactly the difference between chapter 5 and chapter 6. Okay? Another question?

[Speaker G] Yes. At the beginning of the lesson, when you mentioned foreknowledge and free choice at the collective level, you distinguished between two things: that the Holy One, blessed be He, knows what a particular person or a certain society will do, versus His intervening in a particular way Himself. I think you wrote this in the trilogy too. I just didn’t understand the difference between the two situations. It sounds the same. If He knows that something will happen, as opposed to intervening, He also knows it will happen. It’s still knowledge in both cases.

[Rabbi Michael Abraham] It’s completely different. Let’s just put it in the simplest possible way. There can be an action that someone else does—I don’t touch it—but I know what will happen there because I understand the processes. Why is that the same thing? Is knowing something the same as causing something?

[Speaker H] For a human being, no, but in the case of the Holy One, blessed be He.

[Rabbi Michael Abraham] Why, in the case of the Holy One, blessed be He, is it the same thing? He knows—the Egyptians have free choice, but He knows what they will do. But that doesn’t mean He causes what they do. It doesn’t have to be so, I’m saying. Not all knowledge is the result of involvement. Obviously when there is involvement, then I also know, because if I’m doing it then I know what will happen. But not all knowledge involves intervention. Every intervention includes knowledge too, but not all knowledge involves intervention. Anyone else?

[Speaker B] Rabbi, Rabbi, this paradox still isn’t clear to me—that it comes out that precisely according to someone who holds by weakness of will and believes in Socrates’ method, that you do what you want, then precisely there it comes out that you have no choice at all. Because basically, if I lay out as a map the scale of values and what you believe in, then you’ll definitely do that.

[Rabbi Michael Abraham] That’s exactly the difference between chapter 5 and chapter 6. Okay? You’re pulling me back into the issue of weakness of will; it’s hard for me here to lay out the map because it’s a somewhat complicated topic.

[Speaker B] But just on the point of how this works out—the paradox that specifically someone with strength of will comes out with a meaningless will because in essence he’s compelled.

[Rabbi Michael Abraham] But on that point—that’s the point of weakness of will—it’s not just one specific point; it’s the whole issue of weakness of will. Look on my website; I have two columns there about it.

[Speaker B] No, no, I read them. But I’m saying, the bottom line that supposedly according to Socrates there is no free choice—that’s surprising. He talks about the good, all his dialogues are about the good, and in general the good is forced on you.

[Rabbi Michael Abraham] I didn’t say that according to Socrates there is no free choice; I don’t know what Socrates said about that. What I’m saying is that the fact that I have weak will basically means that sometimes I do things even though I don’t want to do them. But the fact that I do them is a result of free choice. Therefore I bear responsibility for what I did; it wasn’t caused.

[Speaker B] Now if you disagree—wait—now if…

[Rabbi Michael Abraham] If you disagree with that and you claim that when I don’t do what I want it’s simply because I was weak, then in other words it wasn’t really I who decided not to do it, but rather it was dictated to me. So that means I have no free choice. But precisely situations of weakness of will reflect free choice.

[Speaker B] Right, that’s what’s hard for me, because then it turns out that someone with strength of will has no free choice.

[Rabbi Michael Abraham] He has free choice about what to want.

[Speaker B] But once he’s convinced that he has to do X—he’s convinced that he has to take care of his pleasures, that this is the supreme value in his eyes—he’s sure that that’s how it should be and that this is the good that should be done.

[Rabbi Michael Abraham] He had a choice about which values to champion. But given the values, he has no choice about what to do.

[Speaker B] Meaning the stage of choice would be at the stage of determining values, sort of at the stage of Torah study, as it were.

[Rabbi Michael Abraham] Fine, exactly. Yes. But in determining values, I’m saying again, that’s something that in a certain sense is very limited, because all in all a person usually does not choose what is good and what is bad. What is good and what is bad are given to us. I choose whether to do it. For example, communism and socialism—or capitalism—there it is true. There I really choose not only whether to fulfill my value, but also what my value is. But it can be translated—it requires some analysis, maybe it’s worth a column, I think. It requires some analysis, because the choice between communism and socialism is really a combination of values plus factual analysis. And the question of what exactly one is choosing when one decides to be a capitalist or a communist is not a simple one. Okay, but that’s not for here.

[Speaker I] Rabbi, but in the context of weakness of will, what the Rabbi said earlier—that the distribution of large publics, for example, is derived from the topographical map—doesn’t that imply that most people choose not to choose? Because I would expect, unlike for example coin tosses, that if most people were choosing and did not have weakness of will, then the topographical map would have no value at all even in determining…

[Rabbi Michael Abraham] That brings me back again to weakness of will, because what I argued there is that when a person does something bad—bad in his own eyes, I mean, meaning he does something that he himself thinks is not right to do—it’s usually not because he chose to do it, but because he chose not to choose, but rather to be dragged along. If you adopt that assumption, which I agree with, then you’re right.

[Speaker I] And then that basically means that when, say, the Holy One, blessed be He, decrees concerning the Egyptians, He’s basically saying that He is, as it were, determining that most of them will choose not to choose.

[Rabbi Michael Abraham] Because in a large public, in most cases, a great many people choose not to choose—that’s again statistics.

[Speaker I] Yes, only here the moral charge makes it harder to punish them for that, as the Rabbi said in the column. Okay.

[Rabbi Michael Abraham] Anyone else? Thank you very much. Okay, Sabbath peace, goodbye. Thank you very much, thank you very much.

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