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

The Voice of Prophecy, Lesson 37

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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

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Table of Contents

  • [0:07] Introduction: the problem of deduction versus induction
  • [1:43] Bacon and induction in scientific logic
  • [3:01] Hypothetical judgment as the conscience of science
  • [4:21] The connection between qal va-homer and conditional inference
  • [10:27] Bameh matzinu and mah ha-tzad: a dispute among the medieval authorities (Rishonim)
  • [22:04] General and particular in the system of hermeneutic principles
  • [23:46] The thirteen principles of Hillel the Elder
  • [26:58] The approach that this is an ex post facto anchoring, and the rules in the Torah
  • [29:47] The baraita of Rabbi Yishmael – thirteen principles
  • [33:53] The divine attributes / principles – general and particular in the first section
  • [38:29] The Chazon Ish’s proposal – one principle for varying similarity
  • [49:25] Does analogy proceed through induction or directly?
  • [50:56] Similarity in three aspects – is there still guidance?

Summary

General Overview

Qal va-homer is presented as an argument that is not deduction but induction, and some even claim that it is actually analogy. Hypothetical-conditional judgment is described as the central tool through which science advances, even though it is not a valid deductive inference. Bacon is described as someone who tried to bring induction and analogy into patterns of thought that would guide the researcher without turning them into mathematical logic, and Hermann Cohen is quoted as saying that hypothetical judgment is “the conscience of scientific thought.” The discussion then explores the relationship between qal va-homer, mah ha-tzad, bameh matzinu, and binyan av, along with practical differences such as “we do not administer punishment based on an inference,” and then moves to the principles of general and particular, with a proposal, in the name of the Chazon Ish, to view all the general-and-particular principles as different degrees of “similar to the particular,” that is, as forms of analogy based on different levels of similarity.

Qal va-homer: induction, analogy, and conditional inference

The basis of qal va-homer is not deduction but induction, and there is a claim that perhaps its basis is analogy. The expression “judgment” is usually understood as referring to qal va-homer, but it is not clear what exactly is meant here by “inference” and whether it is one of the hermeneutic principles or just a general term for argument. In Hebrew, “inference” is used by Maimonides as a translation of the Aristotelian argument, and therefore it can mean a logical argument in general and not necessarily “hekesh” as one of the thirteen principles.

Bacon, hypothetical judgment, and the conscience of science

Bacon, in the New Organon, tries to bring analogy and induction into schemes that guide scientific thinking, because science cannot develop by means of deductive schemes. These schemes are not airtight or mathematical; rather, they guide how to test experiments, what counts as a refutation of an induction, and which assumptions can be dropped when the experiment does not confirm the generalization. Hermann Cohen, in The Logic of Pure Knowledge, states that hypothetical judgment is “the conscience of scientific thought” and “the soul of modern science,” because the expansion of knowledge is possible only through non-deductive means.

Conditional inference in science and the useful logical fallacy

A deductive inference of the form “if the law of gravity is correct, then an object with mass will fall, and this tape dispenser is an object with mass, therefore it will fall” is valid, but it does not describe how science actually works. Science works hypothetically: one assumes a hypothesis, derives an observable result from it, verifies the result, and then concludes that the hypothesis is “correct,” even though deductively that conclusion is invalid. Scientific verification is described as inductive confirmation of a general law on the basis of a particular case—not proof, but corroboration.

Qal va-homer as comparative inference and examples of “included within two hundred is one hundred”

It is said that the first principle of Torah logic, qal va-homer, is a kind of conditional inference, and that “its essence is comparative inference,” along with some hesitation about how to understand comparison when the learning moves from the more severe case to the lighter one. An example is brought of the qal va-homer “if one is liable for opening, then surely for digging further,” which is presented as deductive because the more severe case physically contains the lighter case and more, so it can be understood as a comparison in which one takes the part of the more severe case that is equal to the lighter one. This type of qal va-homer is described as hard to refute, and perhaps even one in which “punishment may be administered from such a qal va-homer.”

Mah ha-tzad, qal va-homer, and bameh matzinu: a dispute among the medieval authorities (Rishonim) and practical differences

Two forms of mah ha-tzad are presented: one that begins with bameh matzinu and one that begins with qal va-homer, with the example of fire and pit in tractate Bava Kamma, and the discussion asks whether after “the argument returns” the result remains a qal va-homer or becomes bameh matzinu / binyan av. Binyan av is described as induction: one takes two particular cases, generalizes them into a general principle, and from that principle learns the target case. A central practical difference is “we do not administer punishment based on an inference”: if the prohibition is only from qal va-homer, but in bameh matzinu / binyan av one may punish, then the classification affects the halakhic ruling regarding punishment. An example is brought from Tosafot on Bava Kamma 2 regarding the possibility of proving that “in monetary law, punishment is administered based on inference.” Practical differences are also presented regarding the kinds of refutations: a minimal refutation, and differences between refutations against binyan av / bameh matzinu and those against qal va-homer.

The reasons for “we do not administer punishment based on an inference” and the connection to the kind of derivation

Different views are mentioned regarding the reason for “we do not administer punishment based on an inference,” such as the concern that the qal va-homer can be refuted, or the claim that the punishment is not proportionate to the offense and therefore punishment cannot be derived through qal va-homer. It is said that whether the practical difference applies to binyan av / bameh matzinu may vary depending on the main rationale, because the mechanism of mah ha-tzad resembles qal va-homer in some respects.

General and particular: the source of the principles, their number, and a law given to Moses at Sinai

The principles of general and particular are described as based on comparison—“similar to the particular”—and as one principle among the seven principles taught by Hillel the Elder, which later branched into eight in the baraita of the thirteen principles of Rabbi Yishmael. The tradition is brought that Hillel came up from Babylonia and taught these principles on Passover eve that fell on the Sabbath before the Bnei Beteira, after they had been forgotten in the Land of Israel, and it is said that most medieval authorities (Rishonim) see the principles as a law given to Moses at Sinai. Finkelstein’s claim is mentioned that perhaps in Maimonides there is a shift between his Commentary on the Mishnah and other places, and the possibility is raised that the rules were inferred after the fact from the examples, or that the principles serve to anchor the Jewish laws within verses, alongside the difficulty of seeing that as anything other than “games.”

The division of the general-and-particular principles according to the Nazir: “term” and “law”

The Nazir teaches that there are eight principles of general and particular: four principles of “the general and particular term” and four principles of “the general and particular law.” The four principles of the general and particular term are: general and particular; particular and general; general and particular and general—you may only judge according to what is similar to the particular; and a general term that needs a particular and a particular that needs a general term—this counts as one principle. It is said that their laws were not explicitly explained except in the case of general and particular and general—“similar to the particular”—and only afterward, in examples, were their different laws explained.

The Chazon Ish’s hypothesis: every general-and-particular principle is “similar to the particular” at varying degrees of similarity

A “new hypothesis” is brought in the name of the Chazon Ish, that all the principles of general and particular are similar in the sense of “similar to the particular,” and that the difference between them lies in the degree of similarity required, described in terms of “one aspect,” “two aspects,” and “three aspects,” as appears in several Talmudic passages. General and particular is interpreted as requiring maximal similarity, “in three aspects”; particular and general as similarity “in two aspects”; and general and particular and general as similarity “even in one aspect.” The proposal is also meant to resolve a linguistic difficulty, such as why it says “there is in the general only what is in the particular” rather than “only the particular,” and to explain the role of the general term: the general limits the analogy so that it will not function like an ordinary binyan av / bameh matzinu, but according to a defined threshold of similarity.

General and particular as imagistic-analogical reasoning and the preference for the particular over the general

According to this hypothesis, all the principles of general and particular are forms of analogy, and the general terms surrounding the particular guide how to transfer a law from one particular to another. This claim is presented against a deductive view in which the derivation should have gone from the general to the particular, and it is said that in this mechanism “the particular teaches, not the general.” Three aspects are described as perfect analogy, and one or two aspects as imperfect analogy.

Direct analogy versus analogy through induction within general and particular

An earlier dispute is mentioned about how analogy works: whether through induction and generalization or directly from one particular to another. A distinction is proposed according to which, when the similarity is in one or two aspects, the derivation passes through generalization, whereas similarity “in three aspects” resembles direct analogy that does not pass through generalization. The general category surrounding the particular is presented as what guides the path of the analogy, whereas when the similarity is very broad, that guidance diminishes and the move from one particular to another becomes more direct.

Full Transcript

[Speaker A] Correction.

[Speaker B] I think we need to straighten out something complicated here.

[Rabbi Michael Abraham] I…

[Speaker B] I’d suggest maybe sitting with the guys a bit, because getting into the details of these things means getting into all the stories.

[Rabbi Michael Abraham] In broad terms I can tell you that qal va-homer, at its root, is not—let’s say this is the bottom line in one sentence—qal va-homer is not deduction. Write that down correctly, okay? Good. Not deduction, but induction—or then some argued that maybe it’s even analogy. We’ll discuss the details later, but broadly that’s the general claim. Now, in section 21, which speaks about conditional inference in the new logic, here again these are basically things we already said. I’m just not completely clear what exactly he’s talking about—meaning which of the hermeneutic principles by which the Torah is interpreted he has in mind. Is he talking here about qal va-homer? If he uses the term “judgment,” “judgment” is usually taken to mean qal va-homer. Or—I don’t know what “inference” means here. In other words, it’s not entirely clear to me what he means. But in any case, in light of what was said before about qal va-homer, then this also applies to qal va-homer, and in any case it’s true that this is hypothetical-conditional judgment. As we said before, in the attempt of the new logic—we already mentioned Bacon, right? Bacon’s New Organon, we mentioned it once, where he tries to bring analogy and induction into logical schemes. In other words, he understands that science cannot develop by means of deductive logical schemes.

[Speaker B] So—

[Rabbi Michael Abraham] He’s not turning it into deductive logic, because of course that’s impossible—you can’t make deductive logic out of induction—but he is trying to guide the scientist, let’s call it, or the thinker, to do induction properly, or to do analogy properly, or to test his analogies and inductions. Now again, this isn’t something airtight, it isn’t mathematical. The question is, for example, what counts as a refutation of an induction when you run an experiment? And how do you design an experiment that will make the induction reasonable? Which assumptions that underlie the generalization can you drop if it turns out the experiment doesn’t confirm it? So these are just certain schemes meant to ensure that you’re working reasonably. But that certainly doesn’t turn it into mathematical logic; that can’t be done. The main point Bacon raised most forcefully—although I think people understood it even a bit before him—is that indeed the conscience of science, as he puts it—we mentioned this last time—in The Logic of Pure Knowledge by the modern Jewish philosopher Hermann Cohen, hypothetical judgment is the conscience of scientific thought, the soul of modern science. In other words, here he’s apparently talking about analogy, and we mentioned and discussed last time what he calls hypothetical judgment in this context. And I said that when we speak of hypothetical judgment, it’s that same picture of conditional inference, which is an invalid inference—that is, it’s not a deductively valid inference—but it is the kind of inference by which science actually works. That’s exactly what he says here: it’s the conscience of scientific thought. You can expand our knowledge only through means that are not deductive. Okay? So this is really just summing up things we already said. And then he goes back and says again: and so the first principle of Torah logic—which is of course qal va-homer, the first of the thirteen principles—is, as stated, a kind of conditional inference, whose basis is a just judgment of understanding, which must be true and necessary in the relation of the more severe to the lighter. However, its essence is comparative inference. So here too we hesitated a bit, also last time, about what exactly he means—because if it’s from the more severe to the lighter, then in what sense is there comparison here? So it may be that he takes only the part within the more severe case that overlaps with the lighter one. And I said that usually, in most of the qal va-homer cases we know, it seems to me very hard to understand them that way. A qal va-homer of the kind we called “included within two hundred is one hundred” is like that. A qal va-homer such as: if one is liable for opening, then surely for digging further.

[Speaker B] That’s a qal va-homer—

[Rabbi Michael Abraham] Yes, right—but there, beyond the fact that it’s deductive, true, it is deductive—but why is it deductive? Because the more severe act physically contains the lighter act and something more. It’s not that there’s some abstract reasoning there that this is more severe than that. Rather, in the digging case, obviously, if one is liable for opening, then surely for digging further—you can understand it as a comparison. Why? Because if there is some punishment for opening, then clearly we will impose that same punishment on the digger, because the digger is included in what? He also opened it. Someone who digs a pit both opens the pit and then continues and deepens it further, right? So clearly, physically, he performed the act of opening. So you can view this as a kind of comparison. You take the part of the more severe case that is equal to the lighter one and compare them. And there I can still understand that indeed this isn’t the ordinary qal va-homer; it’s a qal va-homer that also has no refutations, and we said it may even be that one may administer punishment from such a qal va-homer.

[Speaker B] And there too maybe you’d say that there it detracts? Meaning—

[Rabbi Michael Abraham] Meaning, it’s not the same thing. But it is the same thing, only more.

[Speaker B] Maybe who says it’s more? Maybe it’s less.

[Rabbi Michael Abraham] Why is it less? You did the opening here, so how can everything extra you do reduce it? You did the opening.

[Speaker B] Okay, so you’d do it, but you didn’t prove it. Why can’t what you added maybe detract?

[Rabbi Michael Abraham] What are you talking about? If you take four and add two, can you get less than four? There’s opening here. It’s not—

[Speaker B] If he’s talking about inference—what? The second line about conscience talks about inference.

[Rabbi Michael Abraham] I don’t think he means that. I think the “inference” that appears here—I don’t think, at least the way I tend to read it, I’m not a hundred percent sure, but at least the way it seems to me it should be read—this inference is not in the technical hermeneutic sense; it’s not one of the thirteen principles.

[Speaker B] What is “the clear, ordered, comprehensive conscience”?

[Rabbi Michael Abraham] What? No—later he says, “and likewise the first principle”; there he gets to the principles. In other words, the first two paragraphs deal with a kind of logical argument—let’s call it an inference. But this “inference” is just the Hebrew word for argument, a logical argument. Yes, Maimonides translated it as “hekesh,” we mentioned that already. I told you that in the area of the hermeneutic principles I tend not to use the word “hekesh,” because “hekesh” often sounds like one specific principle among the thirteen. But in Hebrew, hekesh simply means argument—a logical argument. The Aristotelian syllogism is an argument; that’s just the Hebrew translation of the Aristotelian argument. So it seems to me that the first two paragraphs speak about a certain kind of argument. In the final paragraph he says, “and so the first principle of Torah logic”—there he returns to qal va-homer. There he returns to the hermeneutic principles. He says: qal va-homer is this—it is a conditional inference, what I defined for you before as a certain kind of argument called conditional inference.

[Speaker B] What does he want from this “conscience,” huh?

[Rabbi Michael Abraham] What—

[Speaker B] What does he want from the conscience, in the sense of the conscience of scientific thought?

[Rabbi Michael Abraham] [The conscience] of scientific thought?

[Speaker B] He wants to say that it’s not deduction.

[Rabbi Michael Abraham] That science cannot advance through deduction. If you want to add knowledge, you have to use a tool that is not deductive, because deduction by its very nature only analyzes what you already know. It cannot add knowledge. We’ve talked about that here several times already.

[Speaker B] What does he mean by “conscience”?

[Rabbi Michael Abraham] “Conscience” means the justification—not of course on the moral plane, but on the intellectual, rational plane. But anyway, just as in the moral sphere conscience serves as a justification, a command of conscience, so in the scientific sphere conscience is the justification for the course of scientific thought. The justification for scientific inference is the correctness of this conditional argument, this conditional inference. It’s like the argument that stands at the base of conscientious scientific thought. What is conditional inference?

[Speaker B] I don’t remember exactly.

[Rabbi Michael Abraham] Conditional inference is basically, say: if the law of gravity is true, then every object should fall toward the earth. Okay?

[Speaker B] No, no—if—

[Rabbi Michael Abraham] So maybe that’s a circular sentence, maybe analytic. I don’t know. If the law of gravity is true, then every object should fall toward the earth, because the earth and the object both have mass. Right.

[Speaker E] So science can’t advance—

[Rabbi Michael Abraham] No, no, wait—that’s the first premise. The second premise is that this tape dispenser is an object with mass. The minor premise. Right? Therefore the conclusion is that this tape dispenser should fall toward the earth, right? That is a fully deductive inference. That is what’s called a conditional inference in ordinary logic. But that’s apparently not the inference he is talking about. What he means is the kind of inference science actually uses. Science works in reverse. It says: let’s try the hypothesis that the law of gravity is true. Since I want to test whether there is such a law, the law of gravity, okay? So I assume the hypothesis: the law of gravity is true. And now I derive a conclusion: if the law of gravity is true, every object should fall toward the earth. Right? Now I take this tape dispenser and say, okay, now let’s see whether it falls to the earth or not. I see that it falls. The conclusion of the previous argument now becomes a premise for me. Now I want to conclude that the law of gravity is true. Do you follow? I say: assuming the law of gravity is true, every object should fall toward the earth. Fine, now I took an object, dropped it toward the earth—conclusion: the law of gravity is true. Now here, of course, this is an invalid conclusion from the standpoint of ordinary logic, because who says? Maybe this one happened to fall, but not every object will fall. But that’s exactly the point. Science nevertheless advances this way, even though from a deductive standpoint it’s an invalid conclusion. Because experiment is always confirmation by way of induction. You take a particular case—if the law is confirmed with respect to the particular, then you say we have corroborated the general law. Not proved it, but corroborated it. Okay? So I think that’s what’s going on here, because there’s a typical fallacy here, and indeed the terminology here is a bit blurry. So there was some discussion last class—we talked about this a bit—that the terminology here is vague. I think that’s what he means. Now just one final comment about qal va-homer. There is a dispute among the medieval authorities (Rishonim) regarding mah ha-tzad. There are two forms of mah ha-tzad. There is mah ha-tzad that begins from binyan av—no, not from binyan av—from bameh matzinu, sorry. Mah ha-tzad itself is binyan av, as he said earlier; that appears in some of the medieval authorities (Rishonim). But there is mah ha-tzad that begins from bameh matzinu and there is mah ha-tzad that begins from qal va-homer. For example, in Bava Kamma, the first Mishnah in Bava Kamma learns one type of damager from, say, fire. Then they say: what about fire, which naturally moves and damages? That’s a refutation from fire, right? So they say, say, pit will prove it, which does not naturally move and damage. What about pit, whose very formation is for damage—I don’t even remember what the weakness of pit is. What about pit, whose initial formation is for damage? Fire proves otherwise. Right? Then “the argument returns,” and they prove it from the combination of the two. That is called mah ha-tzad. Now there is mah ha-tzad that begins with qal va-homer and mah ha-tzad that begins with bameh matzinu. For example, you could begin learning about this damager from fire by qal va-homer. If fire is liable, then all the more so his stone, his knife, and his burden left on the roof are liable too, because they are—whatever—likely to fall, not important for the moment. Fine? Now I make a refutation against the qal va-homer. A refutation: what about fire, which naturally moves and damages? So I say, pit will prove it. Now from pit too I learn by qal va-homer. If pit, which is such-and-such, is stationary and does not naturally move and damage, is nevertheless liable, then his stone, his knife, and his burden that fell by an ordinary wind, which do naturally move and damage, certainly should be liable. Fine? Then I say: what about pit, whose initial formation is for damage? So that too is a refutation. Right? Then I say: “the argument returns.” After I made both refutations and learned from both, is it still qal va-homer? Or has it become bameh matzinu again? Do you understand the question? Because if I begin from bameh matzinu, then there’s no doubt that after I learn from both it remains bameh matzinu; it doesn’t improve. Right? It just remains standard bameh matzinu. Bameh matzinu is analogy: just as this is so, so too that. Qal va-homer is: if this, then certainly that—certainly all the more so. Fine? Now, mah ha-tzad can begin in two ways. It can begin with qal va-homer, then get a refutation, then I’ll learn from the second by qal va-homer, then there will be a refutation there too, then I return to the first and to the common side shared by both. Now the question is: what does that common side shared by both do? On the face of it, just in simple logical terms, that is bameh matzinu and not—

[Speaker B] Qal va-homer.

[Rabbi Michael Abraham] Because I learn—

[Speaker B] from the common side shared by both, I—

[Rabbi Michael Abraham] I don’t learn from this one and not from that one; rather I learn from the common side that this is exactly like that. This too has the common side, and therefore it is the same thing. Right? Essentially I’m learning neither from fire nor from pit. Fire and pit are both particular cases that create a binyan av for me, as I explained before. Learning through mah ha-tzad is binyan av. Binyan av is induction: taking two particular cases, generalizing them into a general principle, and from the general principle learning to the case I’m interested in.

[Speaker B] You can learn from the general principle by qal va-homer. What? You could have learned from the general principle by qal va-homer?

[Rabbi Michael Abraham] Yes, but usually, at least in the examples I can remember, that’s not the case. The qal va-homer always characterizes one side. But once you get to the property shared by both, then it is the same property found in the thing being learned—not a stronger property, but exactly the same property. It simply resembles both of them in the common aspect they share. True, theoretically I can also imagine a case where in the end it would still remain qal va-homer, but not necessarily that it is qal va-homer. That’s a point for investigation. I’m talking about a case that began with qal va-homer and ended with bameh matzinu. So there’s a dispute—this is called a dispute among the medieval authorities (Rishonim). A practical difference, for example: one who holds that “we do not administer punishment based on an inference” applies only to qal va-homer, but in bameh matzinu you may administer punishment based on inference—then here they would punish. Right? In a derivation by qal va-homer they would not punish, but in binyan av or bameh matzinu they would. So that too is a dispute among the medieval authorities (Rishonim), but for whoever says that, that would be a straightforward practical difference. Another practical difference is, for example, what kind of refutation is used. A minimal refutation or not a minimal refutation. There is a difference between what kinds of refutations one uses against binyan av or bameh matzinu and what kinds one uses against qal va-homer. What is the reason to say that this is still qal va-homer? The reason to say that is that you began with qal va-homer, made a refutation, and showed that the refutation is not valid by means of the second source-teacher, so we return to the original state in which it was qal va-homer. But then in fact I’m learning, as it were, from two separate sources and not from their common side. That doesn’t fit the wording of the Talmud very well. It doesn’t fit the wording of the Talmud very well. But whoever says this is qal va-homer apparently understands the derivation that way. He understands it as though the second source-teacher comes only to remove the problem raised by the refutation against the first source-teacher. And once we removed the problem, I learn from the first source-teacher by the same original qal va-homer. I proved the refutation irrelevant, that’s all. Now here I only used the example—not only because it’s interesting to know this, but because these points come up, for example, in Tosafot on Bava Kamma 2, which we looked at earlier. Tosafot discusses it there and says that from the Mishnah there you see that in monetary law, punishment is administered based on an inference. That’s the question Tosafot asks. That same Mishnah we mentioned earlier, where they learn from fire and pit and so on—Tosafot says: from here we see that in monetary matters punishment is administered based on an inference. There are several answers one can give here. I don’t remember who says this, if anyone—I remember that I suggested it there as an answer, I don’t remember whether anyone else says it too—in the classes on Bava Kamma when we learned it, namely that this is not qal va-homer, but binyan av. And with binyan av there are views that do administer punishment; only with qal va-homer they do not. So Tosafot says no. You could say either that Tosafot holds one may administer punishment also in binyan av—in other words that even in binyan av one does not administer punishment based on inference, there is no difference—or that he understands mah ha-tzad there as qal va-homer and not binyan av. Both possibilities are open in Tosafot; he doesn’t spell it out. But in any case, these issues come up there. Why is this important for our purposes? Because indeed it seems that there is nevertheless something essentially different about qal va-homer as opposed to binyan av or bameh matzinu, right? These investigations have practical differences between them—the question is how to understand mah ha-tzad. According to what the Nazir says, I don’t completely understand the difference. That is, if in the end what you do in qal va-homer is only compare the common side of the more severe case to the lighter one, then what difference does it make that that case is more severe? That’s irrelevant to the derivation. All that’s relevant is that within it there is something like the lighter case, and then they can be compared. So I don’t understand why there should be any point at all—that’s what I said before, just now in a slightly more simplified form—in having two different principles: qal va-homer and bameh matzinu or binyan av.

[Speaker D] He doesn’t say it’s pure analogy.

[Rabbi Michael Abraham] The question is what he does mean. I simply don’t know. It’s a question mark, not even an objection. I don’t know what he means.

[Speaker B] But every qal va-homer is made because there’s some relevance between the properties. So why really the relevance between the properties?

[Rabbi Michael Abraham] That’s the comparison—that’s what is meant by comparison.

[Speaker B] Understand, like, that definitely exists. It could be that in the end every qal va-homer will turn out somehow to be “included within two hundred is one hundred,” somewhere, somehow—otherwise why really is it that the fact that it’s lighter here and more severe there has relevant meaning?

[Rabbi Michael Abraham] It could be that there is a third scale shared by both, on which this one is eight and that one is five—but not that this one is literally inside that one.

[Speaker B] Maybe because there’s an earlier comparison, that means there’s—

[Rabbi Michael Abraham] There is comparison here, but still it’s a comparison that says there is in fact a scale shared by both. And in any case, you need that, just like a gezerah shavah. Even if it’s a third scale, that already creates a state of comparison. There is already some element of comparison there, in that you are basically extracting from both of them that they are measured by a common standard.

[Speaker B] And clearly there’s something here that distinguishes it—clearly there’s something here in qal va-homer that’s different from an ordinary inference. Huh? Clearly there’s something here in qal va-homer that’s different from just any inference. It’s not just any inference, I just—so what—

[Rabbi Michael Abraham] What Roi is suggesting here is that the comparison is basically translating this into some common scale. That is the basis of the comparison present in every qal va-homer. But after you translate it, this one is still, say, five units of severity, and that one is eight units of severity. So therefore it’s qal va-homer. True, that qal va-homer is based on some element of comparison. Fine—maybe that’s what he means. I just don’t know; I can’t decide exactly what he means here. Okay, now general and particular. As for “we do not administer punishment based on an inference” generally—since we already mentioned it, it’s also connected to the question of why we do not administer punishment based on inference; we mentioned that too, right? Why don’t we administer punishment based on inference? Right. So there are—we mentioned it—there is a view that says because this is such a severe matter that perhaps that punishment won’t help; there is a view that says maybe there is a refutation against the qal va-homer. We brought another direction saying that punishments are not proportionate to the offense, and therefore you cannot derive punishment by qal va-homer. So obviously the question whether one administers punishment based on binyan av or bameh matzinu will depend on that. If you think the reason is that there may be a refutation, then presumably here too you might think there can also be a refutation, since mah ha-tzad operates by exactly the same mechanism as qal va-homer—it even rescues it like qal va-homer. If you argue that it’s more severe and therefore it’s not certain that that punishment is sufficient, then that’s no longer true, because here apparently there is comparison, not leniency and severity. Fine. As for the third possibility, I’m not sure. In any case, it depends on—

[Speaker B] Refutation—wouldn’t it be resolved in binyano? What? Maybe in the case of a pursuer and rescuer, a refutation wouldn’t exempt in binyano. Why? Because the Nazir starts with some kind of thing that’s hard to define, that can be refuted. But in qal va-homer, the closeness of the more severe and lighter case—that yes.

[Rabbi Michael Abraham] There are refutations against binyano. What do you mean? There are refutations against binyano. We talked about it, we mentioned that it’s a little hard to grasp how there can really be refutations against such a thing, because if it’s clear to me that they are equal, then it’s clear to me that they are equal. In other words, what are you trying to prove with the refutations? That it isn’t clear to me that they are equal.

[Speaker B] But if—

[Rabbi Michael Abraham] What you can show me in a refutation is that this point of the refutation—the equality with respect to it—is not relevant. That’s what you can say. But that doesn’t refute the equality. It only says that with respect to the point of the refutation, the equality is not relevant. But still, I think we concluded there in the end that okay, you can say there are refutations that basically say: look, the relevant point in the refutation is that very point that also matters for the law you want to derive, and you see that there it doesn’t hold. Meaning that your analogy doesn’t work. Because in both directions you find such refutations. And conversely, they discuss there whether a minimal refutation works or not. Fine. General and particular, “similar to the particular.” Here this is an extremely tangled discussion, and I don’t want to get into the details because that would mean starting to dig through Talmudic passages and define things that by themselves would require sitting for several good classes just to define them, and that’s not essential to what’s written here. So I’ll give an overview from above—not that I’m hiding all these secrets inside myself; they’re not inside me, so don’t suspect me. But one day we’ll get into these passages and really enter more into the definitions—there are some very problematic definitions there. We intend, with God’s help, to get into those passages, but not in the Chazon Ovadia class. What? In which class? No, no, on my own. Next project. Maybe toward your next draft-up. You’re just getting started well now. Fine. The principles of general and particular are also based on comparison—similar to the particular. General and particular, which is one principle among the seven principles taught by Hillel the Elder. When Hillel came up from Babylonia, he taught seven principles. This then branched into eight principles of general and particular in the baraita of the thirteen principles of Rabbi Yishmael. And in Rabbi Yishmael’s thirteen principles, this one principle broke down into eight principles. And if you do the math, you’ll see that altogether there are fourteen. From Hillel’s seven principles, one of the seven branched into eight, so altogether there are fourteen. There is disagreement in the classifications—another principle gets removed in Hillel—and even the counting of the Nazir himself is not agreed upon. Exactly how one divides the thirteen principles internally is not agreed upon. In any case, that is how the Nazir teaches: that there are eight principles of general and particular, of which four are principles of the general and particular term, and four are principles of the general and particular law. And these are the four principles of the general and particular term: general and particular; particular and general; general and particular and general—you may only judge according to what is similar to the particular; and a general that requires a particular and a particular that requires a general—this is one principle. So there are four principles here, and these are the principles of the general term. The principles of the general law are the four principles that follow; in a moment we’ll see them. And their rules were not explained except in the case of general and particular and general—similar to the particular. Only afterward, in examples, were their various rules explained: in general and particular, the general includes only what is in the particular; in particular and general, the general becomes an addition to the particular; in general and particular [and general], you may only judge according to what is similar to the particular, and so on. Let’s stop for a moment here and expand just a bit. So in the thirteen principles, usually this is understood at the beginning of the Sifra. Sifra. What does it mean that Hillel the Elder “taught” them?

[Speaker B] What does it mean that Hillel the Elder taught them?

[Rabbi Michael Abraham] Hillel the Elder established them, let’s say. It’s a law given to Moses at Sinai—according to, you could say, all the medieval authorities (Rishonim), the principles are a law given to Moses at Sinai. But Hillel was the first to enumerate them, to establish them. When he came up from Babylonia, he taught—

[Speaker B] Seven principles on Passover eve—

[Rabbi Michael Abraham] that fell on the Sabbath. And what was there until then? Until then it wasn’t exactly known; they didn’t know exactly—it had been forgotten. What do you mean, until then? In his generation it had been forgotten in the Land of Israel, and when he came up from Babylonia he taught them this. The Bnei Beteira there, who had forgotten whether the Passover offering overrides the Sabbath—that’s the whole discussion there—he taught it to them through qal va-homer, through gezerah shavah, and through this kind of judgment; he derived it for them from each principle separately, and from several different forms within each principle separately he derived this law for them. But these principles—all the medieval authorities (Rishonim) write that these principles are a law given to Moses at Sinai. Finkelstein—you know the Sifra edition, the Finkelstein edition, the excellent edition of the Sifra from the Jewish Theological Seminary in America—he wants to argue that in Maimonides it seems he retracted this. In the introduction to his Commentary on the Mishnah he writes that it is a law given to Moses at Sinai, but in the Laws of Rebels and in another place—how does he explain himself? I mean, what? He finds a contradiction. If it is not a law given to Moses at Sinai, then it isn’t—it doesn’t work out in a coherent way. Because if it’s not a law given to Moses at Sinai, then these have to be completely logical principles.

[Speaker E] They have their own logic. What’s their logic? Exactly. It’s a logic that’s not one hundred percent—

[Rabbi Michael Abraham] Everything would have to be ordinary human logic. There wouldn’t be axiomatic rules here, arbitrary rules, let’s say—rules of that kind could only come from Sinai. Right?

[Speaker B] Are there such things in the principles?

[Rabbi Michael Abraham] General and particular and general, for example—what’s logical about that? “You only judge according to what is similar to the particular”—that looks like some rule for how to read the Torah; it isn’t some logical form of thought. Right. I think that’s why all the medieval authorities (Rishonim) arrive at this conclusion—even though there’s no explicit source for it, at least not as far as I know—that this is a law given to Moses at Sinai. They infer it simply from the character of these principles.

[Speaker B] Arbitrary rules. But how do you understand it?

[Rabbi Michael Abraham] Understand what?

[Speaker B] You looked at the general and then the particular—

[Rabbi Michael Abraham] Fine, call that a logical rule, I don’t care at the moment. I don’t mean a deductive rule, but it’s a rule of human thought.

[Speaker B] That’s what I mean. And if you read a particular and then a general, you understand that—

[Rabbi Michael Abraham] Maybe. One really has to think how I would understand it. But fine. Okay—but for me that too is logic. There has to be some logic in the rules; they can’t be arbitrary. If it’s a law given to Moses at Sinai, then the whole matter is more open. But we saw in the introduction to the book that Gersonides—and Maimonides himself in Treatise on Logic, though that was written in his youth. If he later retracted, that wouldn’t be surprising.

[Speaker E] It could be that it’s not a law given to Moses at Sinai, but once the Sages fitted the existing Jewish laws to midrash and extracted the rules from the examples—

[Rabbi Michael Abraham] They inferred these rules from the examples, and then it wouldn’t be a law given to Moses at Sinai. Fine—but then the question is: afterward did they use those rules to derive other laws?

[Speaker B] Yes.

[Rabbi Michael Abraham] Or there are those who want to say that all thirteen principles never actually derive any law at all; they’re just some kind of ex post facto anchoring.

[Speaker F] Fine, that’s another approach. But the Sages want to use the Torah’s own rules—they say, how does the Torah work? They look at the midrashim, at the Jewish laws, and they look at the verses.

[Rabbi Michael Abraham] Even though in many places the Torah does not use these rules, and therefore we have to say things like “a person may not derive a gezerah shavah on his own,” or something like that, because it’s not true that everywhere in the Torah—

[Speaker A] Why doesn’t Gersonides want to say—it seems to me—that they say it only attaches the Jewish laws to the verses, like gezerah shavah?

[Rabbi Michael Abraham] No, the question is whether there is some hint in the text at all, or whether it really is an arbitrary thing. I don’t know. Maimonides and Gersonides learn—

[Speaker B] that it’s an arbitrary thing, as it says here in the introduction.

[Rabbi Michael Abraham] The Nazir, of course, wants to argue that it isn’t, and for him it’s very important to know—

[Speaker B] whether this is a law given to Moses at Sinai or not. Fine.

[Rabbi Michael Abraham] Now it’s true that even if this is a law given to Moses at Sinai, that doesn’t mean it isn’t something reasonable. But someone who says it isn’t something reasonable would seemingly have to say that it’s a law given to Moses at Sinai. Unless, as you’re saying, the sages derived it on their own. I’ll tell you why. Maimonides writes that one court can overturn another court by means of the thirteen hermeneutical principles, right? That’s Finkelstein’s claim; I’m not familiar with that claim. What?

[Speaker B] Right, so

[Rabbi Michael Abraham] That means this is not a case of after-the-fact justification. Ah, in that sense. But that still doesn’t mean the principles themselves aren’t a law given to Moses at Sinai. He wants to conclude from here that therefore the principles are not a law given to Moses at Sinai, because otherwise how could one court disagree with an earlier court? I don’t understand the argument at all. But in this you’re right: seemingly you do see that this really is not just an after-the-fact justification. Unless, again, they suddenly arrive at some

[Speaker A] other tradition that they had in their possession, and then once again it becomes retroactive. That whole idea doesn’t sound reasonable to me at all, even though it’s very widespread.

[Speaker B] What do you mean, Maimonides’ reasoning?

[Speaker E] What kind of logic is it that all thirteen

[Rabbi Michael Abraham] principles are only there to plant into the verses the laws that we already know.

[Speaker B] There’s no logic in that at all. What, are we just playing games?

[Rabbi Michael Abraham] I know the law already, so why do I need to plant it into a verse? It’s just games. I don’t understand the point of

[Speaker B] doing that.

[Rabbi Michael Abraham] Okay. In any case, the baraita goes like this: Rabbi Yishmael says, “The Torah is expounded through thirteen principles: from a fortiori reasoning, from verbal analogy, from a paradigm built from one verse, and from a paradigm built from two verses; from general and particular, and from particular and general, from general and particular and general—you may infer only what is like the particular; from a particular that requires a general, and from a general that requires a particular.” And after that: “Anything that was included in a general category…” — this is one, this is two — “anything that was included in a general category and left the general category in order to teach, did not leave in order to teach about itself but in order to teach about the entire category; anything that was included in a general category and left to be judged by a new matter that is like its own case,” and so on and so on. These are two different sections, and that division itself is a very interesting division—why they divided it into two sections to begin with. Afterward the examples are brought. After “until a third verse comes and decides between them,” the elaboration begins.

[Speaker F] Up to “general text”?

[Rabbi Michael Abraham] Up to “general and particular and general,”

[Speaker F] how many principles is that?

[Rabbi Michael Abraham] No, up to “a general that requires a particular and a particular that requires a general.”

[Speaker F] Is that four plus six?

[Rabbi Michael Abraham] Simply speaking, that’s eight out of eight.

[Speaker F] Does that match the division he’s talking about?

[Rabbi Michael Abraham] In a moment we’ll see. It fits, but it’s not all the parts. It’s only four from here and four from there. In any case, there are these two divisions, and in the Sifra itself it’s also divided this way. When they begin bringing the examples, the first section deals with the first series, and the second section is like a new unit dealing with the second series. So it looks like there’s some substantive distinction here, and it seems to me that this is what he’s hinting at here with the general term and the general and particular law. But in a minute. In any case, after that the elaboration begins. After “until a third verse comes and decides between them,” the elaboration begins. “How does a fortiori reasoning work?” It says here “and how,” as one word, “how.” Later it appears as “how.” I don’t know why here it’s one way and there it’s another way, but in any case, then it starts bringing examples: from a fortiori reasoning, from verbal analogy, from a paradigm built from one verse, from a paradigm built from two verses, and so on. It starts bringing examples. This too is a long discussion among scholars: those examples are apparently—at least that’s the assumption—a later addition. They were not in the original Sifra. There are manuscripts of the Sifra in which this very baraita also does not appear at the opening of the Sifra.

[Speaker F] So what is it?

[Rabbi Michael Abraham] An independent baraita; it isn’t part of the Sifra. That has some practical significance. There are very fundamental questions here about how much this is connected to the teaching of Rabbi Yishmael. How Torat Kohanim—that is, the Sifra—relates to this whole matter, since with Rabbi Akiva and Rabbi Yishmael it’s well known how to relate to all these principles, in tractate Shevuot and elsewhere. So it matters somewhat whether it’s connected to this text or not. That’s also a substantive question and not just a textual one. But in any case, this is how it appears in the standard versions before us, and afterward the examples appear. That’s what he says here. If I go back to the whole prophecy—well, he says, “and their laws were not explained,” in the middle of the second paragraph, “and their laws were only explained through general and particular and general, like the particular.” Meaning, there are thirteen principles here, and in none of them does it say what to do with them. General and particular, particular and general, anything that left the general category in order to teach, and so on—it doesn’t say what you do with that. Only in one case does it say what you do with it: general and particular and general—“you may infer only what is like the particular.”

[Speaker B] Meaning,

[Rabbi Michael Abraham] there it already says what to do with general and particular and general. But that’s only there now. Now, actually it’s not exactly only there, because in the second section it says, “Anything that was included in a general category”—and here you don’t need… it says, “left the general category in order to teach; it did not leave in order to teach about itself but rather to teach about the whole category.” So that is an elaboration. So it seems to me that here—I don’t know exactly why he ignores that. No, it’s about the principles of the term. Ah, only among the principles of the general and particular term. That could be. Ah, right. Yes, right. So he really is speaking only about the principles of the general and particular term, meaning the principles of general and particular that belong to the first section. There, what you do with them is explained only in one of them. The principles that come afterward—the principles of the general and particular law—there in each one it says exactly what you do.

[Speaker B] Principles of law. Why does he call one “principles of the term” and the other “principles of law”?

[Rabbi Michael Abraham] In a second—I’m not one hundred percent sure I understand, but in a moment we’ll see. What is this here if not principles of law?

[Speaker B] Principles of terms and principles of laws.

[Rabbi Michael Abraham] Ah, that’s how you explain it? That’s an interesting interpretation. I was mistaken about why he calls it that, and I was trying to look for some structural difference. Ah, you’re saying it’s simply because here he says what the law is, and there he doesn’t say what the law is, he only gives the name of the principle.

[Speaker B] It may be even more than that. Principles of terms and principles of laws, as if

[Rabbi Michael Abraham] all these principles are used to derive laws.

[Speaker B] I thought

[Rabbi Michael Abraham] the point was that the four principles of general and particular, the general and particular that belong to the first section, are principles that deal with terms. “Animal” is a general term, “donkey” and “sheep” are particulars. So here these are terms. There’s a general term and a particular term, and the question is to what population or what objects the law refers. So if at the beginning there appears a general term for a population, a type of population, and afterward particular terms, then “you may infer only what is like the particular,” or something like that—each principle on its own, yes? So it deals with what the term is around which the law revolves. Now, in the second set of principles—I’m no longer sure here that one can really make the distinction sharply—but still it seems one can sense that the generalization and specification… maybe that’s what he meant by saying these are principles of the term and those are principles of the law. I’m just throwing out an idea here; I don’t think that necessarily is what he meant. In any case—and this is what he says—only afterward, in the examples, are their different laws explained. So only afterward, in the examples, in the continuation of the mishnayot that go on to say “How does a fortiori reasoning work?” “How does verbal analogy work?”—and they bring examples of expositions in order to explain to us what each and every principle is. As we said, those examples may be a later addition. In any case there are many doubts and variant readings about them, and not everyone agrees that those examples really are examples of that particular principle, and some place that same example as representing a different principle and not this one. So he says: only afterward, in the examples, are their different laws explained. General and particular—so what, what can be said briefly, now that we’re here? General and particular: the general includes only what is in the particular. Particular and general: the general becomes an addition to the particular, yes. General and particular and general: the particular qualifies the general. Particular and general: the general expands the particular. So what exactly is the distinction? Again, for that you really need to go into the details here and see very, very subtle definitions, and it’s hard to give some sharp definition here. But in terms of mechanism, that’s the difference: here it comes to restrict the general, and here it comes to expand the particular. Particular and general—the general becomes an addition to the particular. General and particular—you may infer only what is like the particular, and so on. “And there arises a new conjecture, that all the principles of general and particular are similar in the matter of ‘like the particular,’ except that the difference lies in the aspects.” “Aspects” is an amazingly vague concept. It appears in several places in the Talmud where they discuss general and particular. There’s one in Hullin 66, in Nazir 35, Eruvin 27—there are several places where they discuss how you make analogies between the general and the particular, or between one particular and another particular when there is a general and particular. Does the thing to which we compare need to resemble the particular written in the Torah in one aspect, in two aspects, in three aspects? So simply speaking, without getting into the praises of what exactly one aspect, two, and three are, the point is: what degree of similarity is required? Does it have to be total similarity, that it be exactly the same thing, or is it enough that there be one aspect in common between the two things even if there are also aspects in which they differ, and so on—between the particular written in the Torah and another particular that I want to compare to the particular written in the Torah. Now the Hazon Ish says that all these principles of general and particular are basically one single principle that breaks down into different degrees of similarity. That is the proposal he offers—a pretty revolutionary proposal that needs to be checked carefully in the sugyot, and I haven’t done that, and it’s hard work, and we’re not going to do it now. But in every place where it says general and particular and general, then any similarity at all is enough. Anything that resembles the particular written in the middle in some way, that’s fine—you can transfer the law to it as well. In a place where it says general and particular, then you need maximal similarity. In a place where it says particular and general, then you need an intermediate degree of similarity. That’s what is called one aspect, two aspects, and three aspects. That’s the Hazon Ish’s claim.

[Speaker B] In the principles of the term, we said—in the principles of the term he’s talking about the four of general and particular, right?

[Rabbi Michael Abraham] About the four or all eight? No, no, no—about the four. So this is basically the proposal he offers, and he says this: general and particular—“the general includes only what is in the particular.” What does it mean, “only what is in the particular”? What does that mean—only what is in the particular? It means just that, meaning whatever is exactly similar to the particular, and that means in all aspects. “Three aspects” is the standard term—or “three aspects.” When the Gemara says “three aspects,” it means all aspects. At least that’s how Tosafot understands it; I don’t know if everyone agrees. It could be that—I think there are those who understand that you really need three similarities. That doesn’t mean all aspects. It may be that you need one similarity, two similarities, and three similarities. Tosafot in Hullin says not so. From the wording “what is in the particular,” and not “only the particular”—look below, there’s a linguistic discussion there about why the expression is “only what is in the particular” rather than “only the particular.” He says: “only what is in the particular” comes to tell you really only what is in the particular, meaning what resembles it in all aspects. Particular and general: the general becomes an addition to the particular that resembles the particular in two aspects. But what exactly “in two aspects” means is not entirely clear. Apparently he means two aspects. Apparently he means two aspects. And general and particular and general—even one aspect. That’s what he wants to say. General and particular and general—“you may infer only what is like the particular,” meaning resembling the particular even in just one aspect. In Hullin 66 and so on—it doesn’t matter, he brings references here. Now what he is really saying is this. What’s revolutionary about it is

[Speaker E] What’s revolutionary?

[Rabbi Michael Abraham] It’s revolutionary because he himself writes that this is against the view of the commentators on the principles. And to understand this well you have to get into the very fact that he gives one comprehensive definition for all three on a single scale—that’s the revolutionary part. Because to come out there with one definition is a pretty problematic achievement. But in any case, what he’s saying here is this: general and particular—well, if with general and particular you’re basically learning all the things that resemble the particular, then why is the general written beforehand? Just write the particular and that’s it, and we’ll learn by analogy from that particular. Why write the general first? So he wants to claim that if the general is written first, then the similarity must be airtight. You can’t hang it on some partial similarity. A similarity in three aspects. Therefore the general is written first to tell you that from this particular, don’t learn according to the ordinary similarities of a paradigm or ordinary analogy. From this particular there are restrictions on how you may learn. Now again, of course this sounds very neat and sharp, but it’s far from being sharp. The question is what counts as similar in all particulars. Is a donkey similar to an ox in all particulars or not? In horns, for example, it isn’t. Fine, it isn’t—but within the limits of the definitions that sometimes one can reach finally, that’s the proposal. That’s what he says. “This removes the difficulty: with general and particular, the general includes only the particular—so why is the general needed?” That’s the line at the bottom. Why do you need the general? So he says: you need the general in order to tell you that from this particular you are not to learn an ordinary paradigm or an ordinary analogy. From this particular there are limitations on how to learn. Now what limitations? There are three types of limitations. If it’s general and particular, you need similarity in three aspects. If it’s particular and general, you need similarity in two aspects. If it’s general and particular and general, then you need similarity in one aspect. Why? Because general and particular—if it had only said general and particular, that would mean similarity in three aspects. So why do you need the second general? The second general comes to tell you: no, don’t do it with three aspects; do it with one aspect. Now of course the question arises: if it’s one aspect, if it’s one aspect, then why not once again just write the particular alone?

[Speaker B] Seemingly if it’s one aspect

[Rabbi Michael Abraham] the question is: so what’s the definition of an analogy? What kind of similarity is the analogy built on? Here he doesn’t say that; I don’t know. That needs more definition here.

[Speaker B] The analogy changes.

[Rabbi Michael Abraham] In an analogy you look for a relevant parameter. Right. And here these are formal acts of that kind.

[Speaker B] Meaning, if there is similarity in three aspects,

[Rabbi Michael Abraham] three aspects or one aspect or two aspects, then you can transfer the law. The interpretation here should also include a criterion of relevance.

[Speaker B] After all, why is this white and that white? Fine. But it’s not that an analogy has a definition that it’s always one aspect. I don’t know whether it changes from case to case and depends on where the analogy falls on that scale. I mean, you still need some proposal that it changes, obviously.

[Rabbi Michael Abraham] Like all the ordinary questions of analogy—it’s obvious that it changes. But the relevance will be here too. I can’t take just any similarity.

[Speaker B] In an analogy I can—there’s one thing

[Speaker A] that is a strong similarity or a weaker similarity. Right. The relevance of the similarity—not ear and ear, but

[Speaker B] there’s a connection.

[Rabbi Michael Abraham] Tosafot in Hullin, which I quoted earlier, mentions that there are weak aspects and strong aspects. He divides them—there are several kinds of aspects. That already has to do, of course, with the criterion of relevance. Meaning: what does it mean, strong aspects and weak aspects? In the sense of how similar this is. And you can say: how relevant that similarity is to the law. In that sense the aspect can be good or poor. Fine, but that really requires a study of its own, so we won’t get into it now.

[Speaker G] Doesn’t the general come to express the range—up to where I’m prepared to make the analogy? Meaning, not to learn it to something that… to define the area within which I apply the principle?

[Rabbi Michael Abraham] That could be an interesting proposal, but it has to be checked whether it really works in every place. No—apparently it won’t work everywhere, because there are places where the general won’t limit the analogy at all. Because all the things that resemble the particular are in fact included in that general anyway. So that won’t give any additional limitation on the analogy. But in principle, if there were such a place, philosophically it sounds right that it would work that way: that all the analogies you can make are only within this general and not outside it. Fine, fine. This really is, as I told you, my plan for yet another chapter—maybe in another two chapters or so.

[Speaker B] “One aspect”—what does that mean? That it’s weak? One aspect.

[Rabbi Michael Abraham] There he brings in the concept of three aspects, poor aspects, good aspects. I don’t know; in the Gemara it appears as aspects.

[Speaker B] An ox that gored on one side—what does that mean?

[Rabbi Michael Abraham] It resembles in one aspect. That’s also less than three aspects. Three aspects is a much greater degree of similarity.

[Speaker B] So if he goes back to “only what is in the particular,” “only what is in the particular”

[Rabbi Michael Abraham] means something very specific.

[Speaker B] “Only what is like the particular.”

[Rabbi Michael Abraham] Say, with general and particular and general—

[Speaker B] isn’t that one aspect?

[Rabbi Michael Abraham] That’s exactly the point. That’s the linguistic argument he made earlier. In general and particular and general, you infer only what is like the particular—and not “only what is in the particular”—so there are three aspects. That’s what he says; that’s how he resolves the linguistic problem below. That there are three aspects, and in general and particular and general you infer only what is like the particular; and because it says “like the particular,” similarity in one aspect is enough for you to learn the law. Fine. After that he proves this conjecture, even though it is not like the view of the commentators on the principles. “According to all these sources, we find that all the principles of general and particular are ‘like the particular,’ which is characteristic of the seventh Hebrew logic in its imagistic and analogical nature.” In other words, what he is saying is that basically all these principles are different forms of analogy. What he says is true—yes, according to his conjecture, of course. According to the previous proposals—understand that beneath the surface there’s constantly an argument here against Nachmanides and Gersonides, namely against treating the principles as arbitrary rules, as some kind of axiomatic system. Here the claim is that this new conjecture of his comes to ground his position, because the other conjectures, which do not place this on some rational basis of analogy, really do look like just arbitrary rules for reading the Torah. If it says a general and then a particular, then such-and-such. So that looks like Nachmanides and Gersonides. But he proposes, against the view of the commentators on the principles, a new proposal: that all this is basically just different intentions of analogy—that is, different ways of making an analogy, on what basis you can found your analogy—but all of it is analogy. And once again he comes back to the point that the foundation of all the principles is analogical reasoning. So in effect it comes out that in all these principles of general and particular, what you’re really doing is learning from one particular to another particular. They’re all analogy. And all the general rules that wrap around this particular—before it, after it, on both sides—only come to define how one may transfer from this particular to another particular. But the thing that teaches is always a particular. And here this differs not only from Nachmanides and Gersonides, but also from all those who see deduction as the center of logic. Because someone who sees deduction as the center of logic would learn exactly the opposite—that when it says general and particular, I’m really learning from the general. If I have a general and now I have a particular case that belongs to that general, then I’ll learn that this particular case is also included. It’s just that the particular that appears after the general comes to qualify me. But then the learning is deduction. He says exactly the opposite: that all the principles are really learning from the particular. The surrounding generals are different forms of analogy—how to work from the particular. That’s what he said earlier as well: “There arises a new conjecture that all the principles of general and particular are similar in the matter of ‘like the particular,’” meaning the central point in them is that they are “like the particular.” Meaning the particular is what teaches, not the general. The Torah does not work with generals; the Torah works with analogies, with individual cases. In the Oral Torah that is certainly so, and in the Written Torah too—there are no generals. We learn by analogy from particular to particular with guidance. The generals around them give me direction how to proceed. Okay. Now just one more moment—I only want to finish this paragraph. Similarity in three aspects—what time is it now?

[Speaker B] It’s just that again, I’m under time pressure.

[Rabbi Michael Abraham] Ten past eight. So I’ll really just finish with one sentence and then I’ll run. Sorry for the… Three aspects—that’s a perfect analogy. Two aspects or one aspect—that’s an imperfect analogy; the two particulars are not entirely similar. Okay? Now notice, it seems to me that there is something more here. Do you remember that we said there is a dispute among the medieval authorities (Rishonim), which we saw in one of the previous chapters, about how analogy works? Does analogy pass through induction, or does analogy pass directly from one particular to another? Do we generalize and then descend by deduction to another particular? It seems to me that what is happening here is this: if the similarity is in one aspect or two aspects, then you go through a generalization. You are basically saying—look, the aspect, say, the particular is a human being, right? It’s also various other things; it’s also a priest. But never mind, it’s a human being. So I generalize to all human beings, and I learn to another particular that resembles it in only one detail, only in that one aspect—that it is a human being. It resembles it in only one aspect. So that is basically induction; that is basically analogy working through induction. Now, similarity in three aspects is already much closer to direct analogy. Because here I say: this particular is really simply identical to that particular, and I learn directly from this to that. I don’t pass through generalization to some broader side; I move directly from this to that. Now, this is interesting, because according to what we said earlier, the general that wraps around the particular—we said that the teaching foundation is the particular. The general only tells me how to move from the particular. Now, how does a general tell me to move from one particular to another particular? Precisely by means of induction, right? The general tells me: take this particular,

[Speaker B] include

[Rabbi Michael Abraham] it in some general according to this principle, and return to that particular, and thus make your analogy. It simply guides me in how to make the analogy. That’s why I need the general around the particulars. Now, with three aspects there is a general on this side and a general on that side. That basically means: leave it alone, there is no guidance. Meaning, you’re wrapped from all directions; you can’t move along some defined path. There isn’t some path that I defined for you as yes and this as no. Rather, you need to move directly from particular to particular. Meaning, this is an analogy that works directly, not by way of induction. And that’s what Tosafot says—three aspects. We mentioned Tosafot in Hullin 66a, who says that three aspects means all aspects. If “three aspects” means all aspects, and not literally just three, then obviously if three is just three and not four, then what I’m saying isn’t correct. But if three aspects means all aspects, then it seems to me that this very much resembles analogy that does not pass through induction. Let’s try to bring this back to the definition of the Sifra, okay?

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