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Virtues and Their Vices EDITED BY KEVIN TIMPE AND CRAIG A. BOYD 1 13 Episteme: Knowledge and Understanding John Greco INTRODUCTION The Greek word ‘episteme’ has been variously translated as ‘knowledge,’ ‘scientific knowledge,’ and ‘scientific understanding.’1 None of these transla- tions is ideal, but the translation in terms of ‘knowledge’ seems especially poor. For example, Aristotle claims that one has episteme only if one can ‘give an account’ of the thing in question. In particular, one must be able to give the ‘why’ of the thing. But certainly one can know that the cat is on the mat simply by seeing it there, and without knowing why the cat is on the mat. Likewise, one can know that the car will not start without knowing why the car will not start. It would be odd if Aristotle were denying this. Things get better when we consider the translation ‘scientific knowledge.’ It does seem, for example, that scientific knowledge requires more than percep- tion. And it does seem that scientific knowledge puts us in a position to ‘give an account’ or explain why something is the case. On the other hand, science often discovers that something is the case before discovering why it is the case. For example, biology tells us that genes carry information from generation to generation, and that as a result certain traits are inherited in predictable patterns. But science told us this (we had this scientific knowledge) long before science could tell us why this is the case or how it all works. Moreover, the Greek ‘episteme’ seems to cover more than what science discovers and thus more than scientific knowledge. For example, one can have episteme regarding what things are good and how one should live, but these are questions that fall outside the proper domain of science. All this suggests that the Greek ‘episteme’ is much closer to the English ‘understanding.’ This includes scientific understanding, but goes beyond it as well, to include such things as understanding how to live, understanding a 1 Cf. Hankinson (1995) and Shields (2012). Cesar Resaltado Cesar Resaltado historical event, and even understanding a map or a model. That is the first thesis of this essay; i.e. that the Greek ‘episteme’ is more or less what in English we call ‘understanding’. It would be surprising if the Greek and English concepts corresponded exactly—if they picked out precisely the same thing. We are separated too much in time and place to expect that. But in any case, the Greek ‘episteme’ is much better translated as ‘understanding’ than as ‘knowledge’ or even ‘scientific knowledge.’ The second thesis of the essay is that an Aristotelian account of episteme fares well as an account of understanding. More exactly: an updated, neo- Aristotelian account fares well. Aristotle’s account of episteme is roughly this: one has episteme of a thing when one has knowledge of its causes—when one is able to give an account or explanation of the thing by citing its causes. Episteme, according to Aristotle, is knowledge of causes.2 Our neo-Aristotelian account ‘updates’ Aristotle’s account in several ways. Most importantly, we replace Aristotle’s notion of ‘cause’ with a notion of dependence relations more generally. Dependence relations are various, including relations akin to Aristotle’s ‘four causes,’ but others as well, such as logical relations, mathemat- ical relations, and various kinds of supervenience relation. The new account amounts to this: to have understanding is to have systematic knowledge of dependence relations. To understand a thing is to be able to (knowledgeably) locate it in a system of appropriate dependence relations.3 The remainder of the essay proceeds as follows. In the first section we better identify our target of analysis. In particular, we note some salient features of understanding that any adequate account should accommodate. In the second section we review the traditional Aristotelian account of episteme as know- ledge of causes. Here we sketch the broad outline of Aristotle’s account, and we notice how it already captures much of what we want to say about understanding. In the third section we update the Aristotelian account and we bring it into conversation with some of the contemporary literature on understanding. Here it is argued that the neo-Aristotelian account fares well against competitors. For example, the account preserves tight relations among understanding, explanation, and knowledge of causes. It also allows a unified account of various kinds of understanding, including mathematical 2 In contemporary philosophy, the claim that understanding amounts to knowledge of causes is more popular in philosophy of science than in epistemology. On this point, see Grimm (2006). For example, Peter Lipton writes, ‘Understanding is not some sort of super-knowledge, but simply more knowledge: knowledge of causes’ (Lipton (2004), cited in Grimm). 3 The same idea is defended by Jaegwon Kim: ‘We think of the world as a system with structure, not a mere agglomeration of unconnected items, and much of the structure we seek comes from the pervasive presence of dependence relations. . . .My main proposal, then, is this: explanations track dependence relations’ (Kim 1994). Grimm (forthcoming) explicitly defends the position that understanding is knowledge of causes, but his notion of cause is very broad, and so his position is close to the one found in Kim and defended in this essay. 286 John Greco Cesar Resaltado Cesar Resaltado Cesar Resaltado Cesar Resaltado Cesar Resaltado Cesar Nota adhesiva Comprensión understanding, philosophical understanding, and practical understanding.4 In particular, it nicely locates scientific understanding within a broader account of understanding in general. The account also accommodates the idea that there can be diverse objects of understanding, including ‘propos- itional objects,’ such as theories and stories, as well as ‘non-propositional’ objects such as maps and models. In the fourth section we consider the value of understanding. In the fifth section we answer two important objections to the claim that understanding is a kind of knowledge. UNDERSTANDING In this section we note some salient features of understanding. These are features that are widely recognized and that any account of understanding ought to accommodate. We have already noted some of these features. For example, we have noted that understanding is not the same thing as know- ledge, since one can know that something is the case without understanding why or how it is the case. A closely related point is that knowledge can be isolated or episodic in ways that understanding cannot be. Thus one can know individual or isolated facts about a subject matter, but understanding seems to come in larger packages. Understanding ‘hangs together’ in ways that know- ledge need not.5 Another widely recognized feature of understanding, also noted above, is that understanding can have different kinds of object. Thus we often talk about understanding concrete objects, or parts of ‘the world,’ such as a particular ecosystem, or economy, or culture. But we talk about understanding abstract objects as well; for example, theories, equations, and questions. We also talk about understanding processes, models, graphs, and even people. Again, understanding can have a wide variety of objects.6 Another salient feature of understanding is that it is closely tied to explan- ation. To understand something is very close to being able to explain it. To explain something, in turn, is very close to seeing how it ‘fits together’ with other things—how it came about from prior causes, for example, or how it otherwise ‘makes sense’ given some broader context. Thus understanding is closely related to explanation, and explanation is closely related to making sense of how things fit together.7 4 See the chapters in this volume by Wood and Baehr. 5 This feature of understanding is noted by, among others, Kvanvig (2003) andRiggs (2003). 6 This feature of understanding is noted by, among others, Elgin (1996), Zagzebski (2001), and Riggs (2003). 7 This feature of understanding is widely noted in the philosophy of science. See, for example, Achinstein (1983), Salmon (1984), Kitcher (1989), Woodward (2003), Cartwright (2004), and Lipton (2004). Episteme: Knowledge and Understanding 287 Cesar Resaltado Cesar Resaltado Finally, it is widely recognized that understanding is more valuable than mere belief, and even mere knowledge. Thus, at least typically, we prefer understanding why something is the case over merely knowing that it is the case. There is probably little consensus regarding why understanding is more valuable than mere knowledge, or exactly in what sense. But at least this much seems right: understanding is valuable in some important sense, and is (at least often) more valuable than mere knowledge. Here are some typical passages, taken from the recent literature on under- standing, highlighting these salient features. Understanding requires the grasping of explanatory and other coherence-making relationships in a large and comprehensive body of information. One can know many unrelated pieces of information, but understanding is achieved only when informational items are pieced together.8 Understanding . . . is the appreciation or grasp of order, pattern, and how things ‘hang together.’Understanding has a multitude of appropriate objects, among them complicated machines, people, subject disciplines, mathematical proofs, and so on. Understanding something like this requires . . . appreciation . . . or awareness of how its parts fit together, what role each one plays in the context of the whole, and of the role it plays in the larger scheme of things.9 Understanding appears to be even more valuable than knowledge. . . .A head full of trivia and detail is an amazing thing, but nothing compared with the reach and sweep of a person of understanding, so if knowledge is a good thing, understand- ing is even better.10 According tomany philosophers of science, for example, understanding is the good at which scientific inquiry aims. On this way of looking at things, what scientists want, when they begin their inquiries . . . is to understand the world (or at least some part of it), where understanding the world involves something more than the acquisition of true beliefs. More generally, and looking outside of science, under- standing is often said to be one of the great goods that makes life worth living.11 In sum, we can list several widely recognized features of understanding. These features play two important roles in an account of understanding. First, they help us to identify our ‘target of analysis.’ That is, they help us to locate the thing that our account is supposed to explicate or explain. Second, they help us to evaluate an account that we (or someone else) propose. That is, an adequate account of understanding ought to at least be consistent with these features. Even better, an adequate account will explain why understanding has these features—why understanding would be expected to have these features, if the account being proposed is correct.12 8 Kvanvig (2003), 192. 9 Riggs (2003), 217. 10 Kvanvig (2003), 186. 11 Grimm (2010). 12 At the very least, an account of understanding ought to explain why understanding seems to have these features, even if in the end we find that it does not. 288 John Greco Cesar Resaltado Cesar Resaltado Here are the features we have identified: � Understanding can have different objects, such as economies, ecosystems, people, theories, stories, equations, and models. � One can have knowledge without having understanding. One can know that something is the case without understanding why or how it is the case. � Understanding cannot be isolated or episodic. � Understanding is closely tied to explanation. � Understanding is closely tied to being able to answer ‘Why’ and ‘How’ questions. � Understanding involves grasping coherence, or seeing patterns, or seeing how things ‘fit’ or ‘hang’ together. � Understanding is in some important way valuable, and at least sometimes more valuable than mere knowledge. ARISTOTLE ’S ACCOUNT OF EPISTEME According to Aristotle, episteme (variously translated as ‘knowledge,’ ‘scien- tific knowledge,’ ‘understanding’) consists in knowledge of causes. To have episteme is to know the cause of a thing. An important aspect of Aristotle’s account concerns the relationships among (a) episteme, (b) having the answer to ‘Why’ questions, and (c) being able to cite causes. Specifically, to have episteme regarding some fact that p is to have an account or explanation regarding why p is the case. To have such an account, in turn, is to be able to (knowledgeably) cite causes. So again, episteme consists in knowledge of causes. Explicating Aristotle’s account, R. J. Hankinson writes, To have scientific knowledge, then, is to have explanatory understanding: not merely to ‘know’ a fact incidentally, to be able to assent to something which is true, but to know why it is a fact. The proper function of science is to provide explanations.13 In order to better understand what Aristotle has in mind, it is necessary to review his theory of causation, or of what it is to be a cause. Famously, Aristotle thought that there are four kinds of cause: efficient, material, formal, and final. Aristotle’s notion of efficient cause is closest to our own notion of cause. Roughly, an efficient cause is a source or agent of change. For example, fire is 13 Hankinson (1995), 110. Episteme: Knowledge and Understanding 289 Cesar Resaltado the efficient cause of the wood’s burning. The explosion was the efficient cause of the house’s catching fire. But Aristotle recognizes other kinds of cause as well. A material cause is, roughly, the material out of which a thing is made. For example, the material cause of the house’s burning is that it is made out of wood. The material cause of the vase’s breaking is that it was made out of glass. Here again we note the close connection between Aristotle’s four causes and the various answers we can give to ‘Why’ questions. For example, someone might ask, ‘Why is that house over there in ruins?’ In some contexts, we will be inclined to cite the efficient cause—it was a fire, an explosion. But in other contexts we might cite the material cause—the house was made out of wood, or of straw. For example, that is why the first two houses are in ruins, whereas the third (made out of brick) is still standing. A formal cause is a thing’s ‘nature’ or ‘essence’ or ‘what-it-is.’ For example, we might say that ‘the cause’ of the dog’s barking is that it is a dog. In other words, that’s what dogs do—they bark! Notice that we are inclined to say such things in certain situations. For example, a guest sleeping at the farmhouse might be annoyed at the roosters crowing. The guest might ask, ‘Why do those roosters crow so early in the morning?’ Here a natural answer might be, ‘Well, they’re roosters! That is what roosters do!’ Lastly, a final cause is an end or goal. It is ‘that for the sake of which a thing is done.’14 The easiest place to see what Aristotle has in mind is in the case of human action. Thus, we commonly answer ‘Why’ questions by citing what a person is trying to do or trying to achieve. For example, ‘Why is she running down the road?’ ‘Because she is trying to lose weight.’ Or: ‘Because she wants to get home in time for dinner.’ Notice, finally, that we can answer the same ‘Why’ question by citing any one of Aristotle’s four causes. Why did the house burn down? There was an explosion (efficient cause). It was made of wood (material cause). The owner wanted to collect on the insurance (final cause). We might even cite a formal cause here: ‘Sometimes houses burn down,’ said in answer to the insurance agent, trying to understand why this happened, just now, in this economy. What do these various kinds of answers havein common? Put differently, what do Aristotle’s four causes have in common? One way to think of it is that they each cite some kind of ‘dependence relation.’ In other words, they each cite some way in which one thing can depend on another. Thus the house’s burning down depended on there being an explosion. But it also depended, in various ways, on the house’s being made of wood, the owner wanting to collect insurance, and the fact that houses are the sort of thing that can burn down. Put differently, each of these things is relevant to the fact that the house 14 Falcon (2011). 290 John Greco Cesar Resaltado Cesar Resaltado burned down. Consider: not everything can burn down, and not everything that can burn down does burn down. To understand why this house burned down—to understand it fully—requires knowing how the house’s burning down depended on these various factors. Think of a complex net, constituted by these various kinds of dependence relations. According to Aristotle, to have episteme regarding some thing is to know its location in such a net. Finally, notice the tight relations between (a) Aristotle’s episteme, (b) knowing the cause, (c) being able to cite the cause, (d) having an account or explanation, and (e) having the answer to a ‘Why’ question. Our contempor- ary concept of understanding, we have seen, displays similar tight relations. This is a clue to a close relationship between Aristotle’s episteme and our understanding. A NEO-ARISTOTELIAN ACCOUNT OF UNDERSTANDING In this section we update Aristotle’s account of episteme so as to turn it into a plausible account of our understanding. First, we replace Aristotle’s ‘four causes’ with dependence relations in general. Aristotle, we have seen, recognizes (a) efficient causal relations, (b) constitutive (or ‘material’) relations, (c) essential (or ‘formal’) relations, and (d) teleological (or ‘final’) relations. All of these, we have said, are various sorts of dependence relations—they are ways in which one thing (or process, or event) can depend on another. But there are other dependence relations as well. For example, there are (e) part-whole or ‘mereological’ relations, (f ) logical and mathematical relations, (g) conceptual relations, and (h) super- venience relations of varying strength. This list is meant to be neither exclusive nor exhaustive. Rather, the substantive point is that there are many and various dependence relations, and understanding centrally involves know- ledge of these. Again, think of a complex net of many and various modally strong dependence relations. According to the present account, to have understanding regarding some thing is to know its location in such a net. The present account preserves close relations between (a) understanding, (b) knowing the cause, (c) being able to cite the cause, (d) having an account or explanation, and (e) having answers to ‘Why’ questions. Another feature of the account is that it makes causal explanation (in our more restricted sense of ‘cause’) a species of explanation in general. To have an explanation is to be able to cite appropriate dependence relations. To have a causal explanation is to be able to cite causal relations. In similar fashion, the account makes scientific Episteme: Knowledge and Understanding 291 Cesar Resaltado Cesar Resaltado understanding and explanation (in our more restricted sense of ‘science’) a species of understanding and explanation in general, including mathematical understanding and explanation, philosophical understanding and explan- ation, and practical understanding and explanation. Our second update is to stress that understanding consists in systematic knowledge of dependence relations. Put differently, understanding consists in knowledge of a system of dependence relations. This accommodates the idea that understanding, unlike mere knowledge, cannot be isolated.15 It also accommodates the idea that understanding comes in degrees, in terms of both breadth and depth. We can think of ‘depth of understanding’ in terms of ‘depth of knowledge,’ where the latter corresponds to knowledge of more fundamental dependence relations. Likewise, we can think of ‘breadth of understanding’ in terms of ‘breath of knowledge,’ where the latter corresponds to knowledge of more diverse dependence relations. The present account also accommodates the idea that understanding can have diverse objects of understanding. In particular, it accommodates the idea that understanding can have ‘non-propositional’ objects, such as maps, graphs, pictures, and models, as well as ‘propositional’ objects such as theories, narratives, and mathematical equations. This is because all of these involve complex representations of relations, or representations of complexes of relations. Our two ‘updates’ together also accommodate close relations between (a) understanding, (b) knowledge how to do something, and (c) knowing how something works. Notice that ‘knowledge how to do something’ is ambiguous between (a) having cognitive knowledge of how to do something, and (b) being able to do something oneself. For example, the old and out of shape gymnastics coach ‘knows how’ to do a standing backflip in the former sense— he knows the mechanics involved, the proper sequence of steps, etc. But he can’t do a standing backflip himself! Perhaps he never could. In contrast, the star gymnast knows how to do the backflip in the latter sense—she can perform one. But she might not know how to explain or teach the backflip to someone else. She might not ‘know how’ to do it in the former sense. We may now see that understanding tracks the former concept. Our star gymnast can perform a standing backflip, but does not understand how it is done. So far, we have that understanding consists in a systematic knowledge of dependence relations, where both relations and relata (the objects of the relations) may be of various sorts. This allows a further distinction among 15 Not everyone agrees that understanding cannot be isolated. Thus Grimm (forthcoming) thinks, contra Pritchard, that one can understand that faulty wiring caused the fire while in ignorance of how faulty wiring might do that. If Grimm is right on this point, then isolated knowledge of a cause can be considered as a limit case of knowledge of a system of causes. 292 John Greco Cesar Resaltado the various objects of understanding, one that will become important later. In particular, understanding can take as its object: (a) A system of ‘real’ relations, or relations ‘in the world’; for example: an ecosystem, an economy, a machine, a historical event. (b) A representation of a real system; for example: a theory, a narrative, a model, a set of equations. (c) The relations between a real system and a representation; for example: relations between a model and the economy that it represents, relations between a theory and a causal process that it represents, relations between a diagram and a machine that it represents, relations between a narrative and a historical event that it represents. In each case, we can make a distinction between the object of understanding and the vehicle of understanding, i.e. between the thing understood and its representation. In case (a), understanding will involve a representation of some part of ‘the world’. In case (b), understanding will involve a representation of a representation. In case (c), understanding will involve a representation of a relation between representation and world. To summarize, understanding consists in a systematic knowledge of dependence relations, where dependence relations can be of various sorts, including ‘real’ relations between parts of the world, conceptual and logical relations between parts of a theory, and semantic relations between theory and world. Our neo-Aristotelian account also explains why scientific explan- ation is only one kind of explanation, and it locates scientific understanding within a unified account of understanding in general.This ‘understanding of understanding’ also accommodates our various pre-theoretical data nicely. In particular: it explains why one can have knowledge without having under- standing; why understanding cannot be isolated or episodic; why under- standing is closely tied to explanation and answering ‘Why’ questions; and why understanding involves coherence, especially explanatory coherence. In the next section we consider the value of understanding. THE VALUE OF UNDERSTANDING An adequate account of understanding ought to explain the value of under- standing. That is, it ought to explain why understanding is valuable, and why it is at least often more valuable than mere knowledge. In one sense, the neo- Aristotelian account does this straightforwardly. Specifically, it identifies understanding with a kind of knowledge, and so on the present account understanding inherits the value of knowledge in general. Moreover, under- standing always involves a system of knowledge rather than mere episodic Episteme: Knowledge and Understanding 293 knowledge. But if more knowledge is more valuable than less, then there is a straightforward sense in which understanding will often be more valuable than mere knowledge. Finally, understanding involves knowledge of an especially valuable sort; that is, understanding involves knowledge why and knowledge how, including knowledge how to live. Plausibly, these kinds of knowledge are more valuable than other kinds of knowledge, or at least some other kinds of knowledge. The present account claims that understanding is valuable because under- standing is a kind of knowledge, and knowledge is valuable. But why is knowledge valuable? That is itself a difficult and controversial issue. I cannot pretend to settle it here, but I will describe what I take to be the best answer. Whether or not that answer is right, however, the more superficial point holds: on the present account, understanding is systematic knowledge of an important kind, and that in itself goes some way toward explaining why understanding is valuable, and at least sometimes more valuable than mere knowledge, i.e. knowledge that does not qualify as understanding. So why is knowledge valuable? One reason is that knowledge is instrumen- tally valuable. That is, knowledge helps us to achieve our goals, to get what we want. For example, knowing that the road goes to Larissa will help me to get there. Knowing that the mushroom is poisonous will help keep me alive. But many will think that knowledge is more than instrumentally valuable— it is also valuable as an end in itself. In the language of value theory, knowledge has ‘final’ value. But how so? The best answer that I know is that knowledge is a kind of achievement—a kind of success from ability, as opposed to mere lucky success. And in general, we value success from ability (we value achieve- ment) over mere lucky success. This point is closely related to Aristotle’s idea that virtuous activity is an end in itself. In fact, Aristotle thought, virtuous (or excellent) activity is the highest good for human beings. Insofar as know- ledge is a kind of excellent activity, and understanding is a kind of knowledge, both inherit the kind of value that Aristotle attributed to excellent activity in general.16 TWO OBJECTIONS TO THE NEO-ARISTOTELIAN ACCOUNT OF UNDERSTANDING The neo-Aristotelian account, we have seen, has much to recommend it. It does face objections, however, two of which will be considered in this section. 16 I defend this account of the value of knowledge in Greco (2003) and (2010), especially chapter 6. For extended discussions concerning the value of understanding, see Zagzebski (2001), Kvanvig (2003), Riggs (2003), and Pritchard (2010). 294 John Greco Cesar Resaltado The two objections sound a common theme: that understanding is not a kind of knowledge at all, and therefore cannot be understood as knowledge of dependence relations. The first argument that understanding is not a kind of knowledge goes as follows: knowledge is ‘factive,’ in the sense that something cannot count as knowledge unless it is true. Otherwise put, knowledge entails truth. But understanding is not like this, the objection goes. Understanding does not entail truth.17 The second objection is a bit harder to state in short form. The general idea, though, is that knowledge is inconsistent with luck in a way that understanding is not. Otherwise put, knowledge cannot be lucky (in certain respects) whereas understanding can be.18 Understanding and Truth According to the first objection, understanding can’t be a kind of knowledge because understanding is not factive, whereas knowledge is. Catherine Elgin has developed a powerful version of this kind of objection. According to Elgin, understanding need only be ‘true enough,’ as opposed to strictly true. In fact, Elgin argues, this feature is essential to an adequate account of understanding. First, if we restrict understanding to what is true, then much of what we count as understanding falls by the wayside. In fact, what seem to be paradigm instances of understanding will no longer count. Despite the fact that Copernicus’s central claim was strictly false, the theory it belongs to constitutes a major advance in understanding over the Ptolemaic theory it replaced. Kepler’s theory is a further advance in understanding, and the current theory is yet a further advance. The advances are clearly cognitive advances. With each step in the sequence, we understand the motion of the planets better than we did before. But no one claims that science has as yet arrived at the truth about the motion of the planets.19 Second, if we think that understanding must be true, then we will miss much about the nature and role scientific theories, and the relationship of such theories to scientific understanding. . . . science routinely transgresses the boundary between truth and falsehood. It smoothes curves and ignores outliers. It develops and deploys simplified models that diverge, sometimes considerably, from the phenomena they purport to represent. Even the best scientific theories are not true.20 The problem comes with the laws, models, idealizations, and approximations which are acknowledged not to be true, but which are nonetheless critical to, 17 Elgin (2004) and (2007). 18 Kvanvig (2003). 19 Elgin (2007), 37–8. 20 Elgin (2004), 113. Episteme: Knowledge and Understanding 295 Cesar Resaltado indeed constitutive of, the understanding that science delivers. Far from being defects, they figure ineliminably in the success of science.21 The point can be generalized. Nor is science the only casualty. In other disciplines such as philosophy, and in everyday discourse, we often convey information and advance understanding by means of sentences that are not literally true. An adequate epistemology should account for this as well.22 Here are some examples that Elgin uses to make her point. Ceteris paribus claims: Many lawlike claims in science obtain only ceteris paribus. The familiar law of gravity F ¼ Gm1m2=r2 is not universally true, for other forces may be in play. The force between charged bodies, for example, is a resultant of electrical and gravitational forces. Neverthe- less, we are not inclined to jettison the law of gravity. Idealizations: Some laws never obtain. They characterize ideal cases that do not, perhaps cannot, occur in nature. The ideal gas law represents gas molecules as perfectly elastic spheres that occupy negligible space and exhibit no mutual attraction. There are no such molecules. Explanations that adduce the ideal gas law would be epistemically unacceptable if abject fidelity to truth were required. Curve smoothing: Ordinarily, each data point is supposed to represent an independently ascertained truth. (The temperature at t1, the temperature at t2 . . . ) By interpolating between and extrapolating beyond these truths, we expect to discern the pattern they instantiate. If the curve we draw connectsthe data points, this is reasonable. But the data rarely fall precisely on the curve adduced to account for them. The curve then reveals a pattern that the data do not in- stantiate. . . .Unwavering commitment to truth would seem then to require connecting all the data points no matter how convoluted the resulting curve turned out to be. This is not done. To accommodate every point would be to abandon hope of finding order in most data sets, for jagged lines and complicated curves mask underlying regularities.23 We may reply to Elgin’s objection by recalling a distinction made above, regarding the various objects of understanding. Specifically, recall the distinc- tion between (a) a system of real relations in the world, (b) a representation of a real system, and (c) the relations between a real system and a representation. Any of these, we said, can be a proper object of understanding. Keeping this in mind allows us to see that understanding indeed tracks knowledge and is therefore factive: understands that p always entails knowing that p, and hence that p is true. 21 Elgin (2004), 113–14. 22 Elgin (2004), 114. 23 Elgin (2004), 116–18. 296 John Greco To illustrate, consider two cases in which a student of chemistry is studying the ideal gas law. Case 1. Jill knows what the ideal gas laws says (i.e., she knows relevant facts about the representation), Jill knows that the ideal gas law is an idealization of how actual gases behave in the world (i.e. she knows relevant facts about the repre- sentation-world relation), and Jill knows that actual gases behave so as to approximate the ideal gas law (i.e. she knows relevant facts about the world). In all of these instances, Jill has understanding as well. In each instance, she understands the relevant ‘object,’ and understands the relevant facts about the object of understanding. Case 2. Jack knows what the ideal gas law says, but does not know that it is supposed to be an idealization. Accordingly, Jack knows relevant facts about the representation, but he does not know relevant facts about the representation- world relation, and he does not know relevant facts about the world (for example, that actual gases behave only so as to approximate the ideal gas law). But with these distinctions in place, knowledge and understanding seem to come and go together. Specifically, Jack understands the representation (the law-statement) insofar as he has systematic knowledge of what it means. But Jack does not understand the relation between the law-statement and the world insofar as he lacks relevant knowledge (that the law is an idealization of what goes on in the world). Likewise, Jack does not understand the behavior of gases in the world insofar as he lacks relevant knowledge (that gases in the world do not instantiate the law). In fact, it seems right to say that Jack not only lacks understanding in the latter two cases, but actually misunderstands the relation between the law- statement and the world, and misunderstands the behavior of gases in the world. Again, once our distinction between different objects of understanding is in place, knowledge and understanding seem to come and go together in just the way that the neo-Aristotelian account predicts. We should consider another of Elgin’s points, however. Namely, she notes that we often talk of understanding that is not strictly true, but true enough. For example, we would be happy to say that Jack understands something of the behavior of gases, even if what he believes about the gases is strictly false. But notice that we talk about knowledge in the same way. Thus, let p be that it is 3 o’clock. We are happy to say, ‘S knows that p,’ even when p is strictly false, because it is in fact 3:01. Why? Because p is ‘true enough.’ Similarly for ‘You know he never declines an invitation’ (when in fact he almost never does) and ‘I know the table is level’ (when in fact it is not perfectly level). Elgin herself gives us a framework for understanding these non-factive uses of ‘knows’. Episteme: Knowledge and Understanding 297 Evidently, to accept a claim is not to take it to be true, but to take it that the claim’s divergence from truth, if any, is negligible. The divergence need not be small, but whatever its magnitude, it can be safely neglected. We accept a claim, I suggest, when we consider it true enough. . . . I suggest that to accept that p is to take it that p’s divergence from truth, if any, does not matter.24 A sentence can be true enough in some contexts but not in others. . . .There is no saying whether a given contention is true enough independently of answering, or presupposing an answer to the question ‘True enough for what?’ . . .Whether a given sentence is true enough depends on what ends its acceptance is supposed to serve.25 As Elgin notes, filling in the details here raises large issues. One such issue is whether the notion of ‘true enough’ figures into the semantics or the pragmat- ics of understanding claims. Elgin’s own view seems to be that it figures into the semantics: when we say that S understands that p, it is part of the very content of our claim that p is true enough relative to present purposes. An alternative view, however, would be that this is rather a feature of the prag- matics of such claims. On this view, to say that someone understands that p, when p is merely true enough for present purposes, is to speak loosely, but in a way that is acceptable for present purposes. Elgin is committed to the view that non-factive uses of knowledge claims should be explained in just this way—i.e. by reference to loose talk and pragmatics. Thus she writes, ‘That “knowledge” is a factive term is uncontro- versial. Regardless of the evidence or reasons that support a person’s belief that p, she does not know that p unless “p” is true.’26 But then it is hard to see why we should not handle non-factive uses of understanding claims in the same way. At the very least, Elgin has not given us good reason to think that the one kind of claim displays a feature of semantics while the other displays a feature of pragmatics. In the absence of such good reason, however, a unified view seems preferable. Understanding and Luck The second objection to the neo-Aristotelian account of understanding is roughly this: understanding can’t be a kind of knowledge because understand- ing can be lucky, whereas knowledge can’t be. More exactly, knowledge cannot tolerate certain kinds of luck. This is a lesson of Gettier cases in epistemology.27 For example, consider the following scenario. 24 Elgin (2004), 119–20. 25 Elgin (2004), 120–1. 26 Elgin (2007), 33. 27 For insightful discussion of the relationship between Gettier cases and luck, see Zagzebski (1999) and Pritchard (2005). 298 John Greco Sheep in the Field: S seems to see a sheep, and on the basis of convincing visual experience forms a belief that there is a sheep in the field. But in this instance there is an irregular trick of light, making a dog in the field look just like a sheep. S’s belief is true nevertheless, however, as there is a sheep in another part of the field, out of S’s view.28 Plausibly, S does not know that there is a sheep in the field, and precisely because his hitting on the truth here is ‘too lucky.’Again, it is widely accepted that this is a lesson of Gettier cases. Jonathan Kvanvig has argued, however, that understand- ing is not inconsistent with luck in the same way that knowledge is. Whereas ‘lucky knowledge’ is impossible, ‘lucky understanding’ is not. More exactly, it is possible to have understanding even when one’s true belief is lucky in a way that rules out knowledge. Kvanvig proposes the following case to illustrate. Suppose you pick up a textbook on Native American History and read through a chapter documenting the Comanche dominance of the southern plains, until eventually you seem genuinely to understand why the Comanches dominated the southern plains. But suppose as well that while the book youhappened to pick up is accurate, most other books on this topic are full of errors. If you had picked up one of these other books instead (and we can imagine that they are all within easy reach!), your beliefs about the Comanches would have been almost entirely false.29 Here is how Kvanvig diagnoses the case: The basic idea here is that, though knowledge is incompatible with a certain kind of epistemic luck, understanding is not. Upon learning of the disturbed etiology of beliefs about the Comanches, as in the case imagined here, we might say that the person has true beliefs or even true justified beliefs, but no knowledge, if we have heeded our lessons from Gettier. . . .But we needn’t say the same thing about the claim of understanding. If the etiology were as imagined, one would be lucky to have any understanding at all of the Comanche dominance of the southern plains. So such understanding would count as understanding not undermined by the kind of luck in question.30 Kvanvig’s diagnosis of the case does have some intuitive pull. That is, it seems correct to say that, in some relevant sense, the subject in the case understands the relevant history. But notice that ‘history’ is ambiguous between ‘actual history’ and ‘historical narrative.’ That is, it is ambiguous between real events in the world and some representation of those events in narrative form. Once again, our distinctions allow an alternative diagnosis, and one on which understanding and knowledge come and go together: a. Regarding the historical narrative (the representation), S has both sys- tematic knowledge and understanding. S knows how the story goes, and understands it. 28 Adapted from Chisholm (1977), 105. 29 Adapted by Grimm (2006), 519. 30 Kvanvig (2003), 198–9. Episteme: Knowledge and Understanding 299 b. Regarding the representation-world relation, S lacks systematic know- ledge. For example, S does not know that the story is true. But so too does S lack understanding that the story is true. c. Regarding the actual history, S again lacks systematic knowledge. For example, S does not know that the Comanches had superior weapons, and that this was a partial cause of Comanche successes in wars against other nations. (That is Kvanvig’s point.) But so too, we may now say, S lacks understanding here. The appearance of understanding is ex- plained by S’s understanding of the story, i.e. the representation. In no case are we forced to accept Kvanvig’s claim that S has understanding without knowledge. On the contrary, we may continue to say that knowledge and understanding come and go together, and in just the way that the account predicts. CONCLUSION The Greek ‘episteme’ has no perfect translation in English, but it is better translated as ‘understanding’ than as ‘knowledge’ or even ‘scientific knowledge.’ Moreover, a neo-Aristotelian account of understanding—that understanding consists in systematic knowledge of dependence relations—has many advan- tages. For example, the account accommodates and explains important relations between understanding, explanation, knowledge why, and knowledge how. It also explains why understanding is closely related to knowledge of causes, and why scientific understanding and scientific explanation are species of understanding and explanation in general. Finally, a distinction among various kinds of dependence relation, and an attendant distinction regarding possible objects of understanding, gives us resources for rejecting two pressing objections against a neo-Aristotelian account: that knowledge (but not understanding) is factive, and that understanding (but not knowledge) cannot be lucky.31 WORKS CITED Achinstein, Peter. 1983. The Nature of Explanation. Oxford: Oxford University Press. Cartwright, Nancy. 2004. ‘From Causation to Explanation and Back.’ In The Future of Philosophy, ed. Brian Leiter. New York: Oxford University Press, 230–45. 31 Thanks to audiences at the thirty-fourth International Wittgenstein Symposium and at the 2011 Bled Philosophical Conference for helpful discussion. Thanks also to Catherine Elgin, Stephen Grimm, Nenad Miscevic, Eleonore Stump, and Kevin Timpe for comments on earlier drafts and for discussion on relevant topics. 300 John Greco Chisholm, Roderick. 1977. Theory of Knowledge, 2nd edition. Englewood Cliffs, NJ: Prentice-Hall, Inc. Elgin, Catherine. 1996. Considered Judgment. Princeton: Princeton University Press. Elgin, Catherine. 2004. ‘True Enough.’ Philosophical Issues 14: 113–31. Elgin, Catherine. 2007. ‘Understanding and the Facts.’ Philosophical Studies 132: 33–42. Falcon, Andrea. 2011. ‘Aristotle on Causality.’ The Stanford Encyclopedia of Philoso- phy, ed. Edward N. Zalta. <http://plato.stanford.edu/archives/fall2011/entries/aris totle-causality/>. Greco, John. 2003. ‘Knowledge as Credit for True Belief.’ Intellectual Virtue: Perspec- tives from Ethics and Epistemology, eds. Michael DePaul and Linda Zagzebski. New York: Oxford University Press. Greco, John. 2010. Achieving Knowledge: A Virtue-theoretic Account of Epistemic Normativity. Cambridge: Cambridge University Press. Grimm, Stephen. 2006. ‘Is Understanding a Species of Knowledge?’ British Journal of Philosophy of Science 57: 515–35. Grimm, Stephen. 2010. ‘Understanding.’ In The Routledge Companion to Epistemol- ogy, eds. Sven Berneker and Duncan Pritchard. New York: Routledge. Grimm, Stephen. Forthcoming. ‘Understanding as Knowledge of Causes.’ Synthese. Hankinson, Robert. J. 1995. ‘Philosophy of Science.’ In The Cambridge Companion to Aristotle, ed. Jonathan Barnes. Cambridge: Cambridge University Press. Kim, Jaegwon. 1994. ‘Explanatory Knowledge and Metaphysical Dependence.’ Philo- sophical Issues 5: 51–69. Kitcher, Philip. 1989. ‘Explanatory Unification and the Causal Structure of the World.’ Minnesota Studies in the Philosophy of Science, 13, eds. Philip Kitcher and Wesley Salmon. Minneapolis: University of Minnesota Press: 410–505. Kvanvig, Jonathan. 2003. The Value of Knowledge and the Pursuit of Understanding. New York: Cambridge University Press. Lipton, Peter. 2004. Inference to the Best Explanation, 2nd edition. New York: Routledge. Pritchard, Duncan. 2005. Epistemic Luck. Oxford: Oxford University Press. Pritchard, Duncan. 2010. ‘Knowledge and Understanding.’ In The Nature and Value of Knowledge: Three Investigations, eds. D. Pritchard, A. Millar, and A. Haddiock. Oxford: Oxford University Press. Riggs, W. 2003. ‘Understanding “Virtue” and the Virtue of Understanding.’ In Intel- lectual Virtue: Perspectives from Ethics and Epistemology, eds. M. DePaul and L. Zagzebski. New York: Oxford University Press. Salmon, Wayne. 1984. Scientific Explanation and the Causal Structure of the World. Princeton: Princeton University Press. Shields, Christopher. 2012. ‘Aristotle.’ The Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta. <http://plato.stanford.edu/archives/spr2012/entries/aristotle/>. Woodward, James. 2003. Making Things Happen: A Theory of Causal Explanation. Oxford: Oxford University Press. Zagzebski, Linda. 1999. ‘What is Knowledge?’ In The Blackwell Guide to Epistemology, eds. John Greco and Ernest Sosa. Oxford: Blackwell. Zagzebski, Linda. 2001. ‘Recovering Understanding.’ In Knowledge, Truth, and Duty, ed. M. Steup. New York: Oxford University Press. Episteme: Knowledge and Understanding 301 http://plato.stanford.edu/archives/fall2011/entries/aristotle-causality/ http://plato.stanford.edu/archives/fall2011/entries/aristotle-causality/ http://plato.stanford.edu/archives/spr2012/entries/aristotle/ Virtues and Their Vices Section III: Intellectual Virtues 13: Episteme: Knowledge and Understanding INTRODUCTION UNDERSTANDING ARISTOTLE’S ACCOUNT OF EPISTEME A NEO-ARISTOTELIAN ACCOUNT OF UNDERSTANDING THE VALUE OF UNDERSTANDING TWO OBJECTIONS TO THE NEO-ARISTOTELIAN ACCOUNT OF UNDERSTANDING Understanding and Truth Understanding and Luck CONCLUSION WORKS CITED
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