MORE ON SCIENTIFIC EXPLANATION For van Fraassen all explanation is a “pragmatic” activity. What he means by this: An explanation is an answer to a “why” question. The correct answer to these questions will depend on the context, including the interests of the questioners. Let’s see why. 1 An example Suppose a person, S, dies. We ask for an explanation of this. Consider various possible replies: Observer: he was in a car accident Doctor: massive hemorrhaging of the brain tissue. Lawyer: negligence on the part of the other driver. Engineer: brake construction prevented the car from coming to a timely stop. City planner: a poorly placed tree, which blocked the view of oncoming traffic. All of these pick out something that is relevant to the event, but can we say which one is the explanation of the death? Van Fraassen: No! 2 Context dependence According to van Fraassen, the context of inquiry determines which hypothesis is relevant. E.g.: In the context of a legal proceeding, we are only interested in hypotheses that bear on legal accountability. In the context of medical reports, we are interested in physiological hypotheses. In the context of an inquest into the safety of public roads, we are interested in objects that might obscure a driver’s vision. Etc. In other words, relevance is contextdependent and this is a general feature of explanation. 3 Asking questions Notice that each explanation is an attempt to answer the question: “Why did S die?” The answer took the form of a proposition: a claim that describes a relevant event or situation. So, perhaps we can sum up van Fraassen’s theory as: Explanation is an answer to a why question whose relevance is determined by context. Not quite. 4 Determining questions Consider this question: Why did Adam eat the Apple? This can be construed in different ways: 1. 2. 3. Why was it Adam who ate the Apple? Why was it an Apple that Adam ate? Why did Adam eat the Apple? How can one phrase give rise to so many questions? Van Fraassen: because every question is implicitly a comparison. Let’s see what he has in mind: 5 The form of questions Van Fraassen: it is a mistake to think that when we ask a question we are simply asking: Why (is it the case that) X? Rather, we are asking: Why (is it the case that) X (rather than Y)? In other words, a question always has a contrast class. A contrast class is a set of alternative answers to a question. Which alternatives are relevant is determined by the context. 6 Adam and the apple So, the question “Why did Adam eat the Apple” has different answers depending on whether: 1a. We want to know why Adam in contrast to other people at the apple. 2a. We want to know why Adam ate the apple in contrast to other pieces of food. 3a. We want to know why Adam ate the apple rather than threw it out. In 1a, the contrast class is other people. In 2a it is other food. In 3a it is other actions. The contrast class is determined by context. You can normally find out by examining the situation and the questioner which class she or he is interested in. 7 More on contrast class Consider: Why did S (who smokes) get lung cancer (as opposed to staying healthy)? Consider two cases: 1. This question is asked by S’s mother during a social occasion. 2. This question is asked by S’s mother during a discussion of smokers. If the context is given by 1, then a good answer is: because S smoked. If the context is given by 2, then the same answer is no good—we are still left wondering. 8 Making something stand out In other words, in giving an explanation, one must provide an answer that explains why S stands out from his/her contrast class. If the contrast class is the general population, then S’s smoking does make him/her stand out. If the contrast class is other smokers, then S’s smoking does not make him/her stand out. Making something stand out in this way satisfies the questioner. It eases her/his sense of wonder. This makes the answer an explanation. 9 Summary of the view So, in providing an explanation of X we must answer the question “Why X” with a proposition, P, that is: True Relevant (determined by context) Makes it more probable that X than any of the other alternatives in the contrast class. 10 Scientific explanation? So, when is an explanation scientific? There is no such thing as uniquely scientific explanation for van Fraassen. Sometimes, however, the context determines that we need scientific theories to help determine relevance, contrast class, etc. Here science enters into the process of explanation. Also, in a given context, the answer to a question might be a proposition from physics, chemistry, biology, etc. We may call it a scientific explanation. Explanation is, ultimately, a matter of the logic of pragmatics, not the content of scientific theories. 11 Contrasts As opposed to Hempel, van Fraassen believes there is no fundamental difference between explanation and description. For him, an explanation just is a description with certain relevant properties. Also, van Fraassen thinks there is no single, absolute theory of explanation: The appropriate explanation is determined by context. 12 More contrast Van Fraassen’s view differs from Salmon’s as well. Salmon thinks we have explained why X occurred when we find the cause of X. But as the car accident example shows, van Fraassen thinks there is no single answer as to what causes something. The correct answer to a causal question depends on the context. Also, Salmon’s view can’t handle indeterministic theories, such as QM. 13 Indeterminism and causation For Salmon, if A & B are statistically correlated but neither causes the other, then we have explained them when we cite a common cause: Pr(A & B/C) = Pr(A) x Pr(B) Pr(A/B & C) = Pr(A/C) (C screens of B from A) But suppose C is invariably followed by either A, B or D with equal probability: Pr(A/C) = Pr(B/C) = Pr(D/C) = 1/3 14 The counter-example Let A v D = P and B v D = Q Pr(P/C) = 2/3 (A and D are 2 of 3 options) Pr(P/Q) = ½ (B and D are equally probable; one of them entails A v D but not the other, so 50-50) Pr(P/C&Q) = ½ (given C and B v D, then either D occurs or B occurs, with equal probability; the former entails P, the latter does not, so 50-50). So, Pr(P/C&Q) Pr(P/C), and C does not screen of Q from P. So, C is not an explanation of P and in general indeterministic correlations will never count as explainable. 15 Asymmetry Note: since context determines relevance, it determines what counts as a good answer to a question. So it will determine whether A explains B or B explains A. If, in a context, C, only one of those holds, then the asymmetry of explanation arises. Probabilistic accounts can’t explain this: E.g. Pr(barometer rises/atmospheric pressure drops) = Pr(atmospheric pressure drops/barometer rises) 16 Kitcher on explanation Kitcher: Let K = a set of sentences (beliefs, claims, propositions) that are accepted as true. E.g.: K might be observations of planetary motion, spectral patterns of heated elements, behaviour of animals, etc. The question is: Which arguments count as a good explanation of K? 17 Deductions Kitcher: we want arguments that allow us to deduce the members of K from other statements we accept (including laws). This is because science is about more than just listing facts. We want to systematize K so that we understand it. But there are different ways we might systematize K. Which ones provide explanations? 18 Unity Kitcher: our goal is to unify K: Minimize the kinds of arguments (derivations) needed, and Maximize the number conclusions (members of K) that we can derive. In short, we want to find one (or a few) patterns of argument that allow us to derive as many members of K as possible. An argument that is an instance of such a pattern, counts as an explanation of K. 19 History of science Kitcher: the history of science supports my view. Consider successful theories, such as Newton’s or Darwin’s. We see that they are often accepted well before they’ve made a lot of successful predictions or been empirically verified to a very large extent. Why is this? Because: They provide patterns of argument that allow us to derive a large number of claims which we accept as true from a small number of assumptions. 20 Example: Darwinian evolution Darwin proposed that biological features of an organism are the result of: Features of its ancestors Nature of their environment Laws of variation and inheritance Natural selection Kitcher: Even though the laws of genetics weren’t known at the time, Darwin’s theory was widely accepted. This is because it became clear that pretty much any observed biological feature could be derived by an argument patterned on the one above. E.g.: size, colour, fur, appendages, etc. 21 Against Hempel Hempel’s account has an asymmetry problem: We can derive the length of a pendulum from its period (and laws of motion) or vice versa. However, the length of the pendulum explains why it has the period it does; its period does not explain why it has the length it does. Hempel’s view can’t say why this is so. Kitcher: my account can… 22 An example of unification Kitcher: Suppose we decide to derive the length of the pendulum from its period. If so, we need a different pattern to explain why motionless pendulums have the length they do. Either that, or refrain from explaining it. On the other hand, if we derive the length from facts about how the pendulum was formed, then we have a pattern that works for all objects. This pattern is more unifying, so it counts as the correct explanation. 23 Another example Here is a Hempel-style explanation: All blessed salt dissolves in water This salt has been blessed. Therefore, this salt dissolves in water. This is no explanation, but how can Hempel rule it out? Kitcher: He can’t, but I can. If we count this as an explanation, we need a different kind of explanation for non-blessed salt, which also dissolves. But, if we stick to chemical theory, we have one pattern of argument for all salt. Since this is more unifying, it counts as the better explanation. 24 In sum Kitcher argues that his theory avoids problems that plague Hempel’s. Also: It shows that there are general features of explanation that go beyond pragmatic concerns (against van Fraassen). It allows for non-causal explanations (against Salmon). 25