科学可以解释一切吗?
【博主评:
温伯格的文章是有很多深意。但是只读他的(或其他人的)文章,和真正去做物理,体会是完全不同的。我觉得温伯格是代表了做基本粒子物理和宇宙论的一部分物理学家的哲学观。物理中其他领域的人看法也可能很不同。
就拿凝聚态物理来说吧。你可以说量子力学已经“解释”了所有现象,剩下的只是计算,而不是“基本”的发现。但是凝聚态物理学家会认为有一些定律并不比量子力学不“基本”。这是因为这些定律虽然在理论上可能可以由量子力学“推导”出来,但事实上离开了实验是根本不可能发现的。
我也板门弄斧,提一个替代的真理观。我们了解世界就像拼图一样。我们的观察(以及从观察中总结出的定律)是一块块碎片。拼在一起,知道他们的相互关系,就是科学的任务。有时候,我们可以从已经拼好的部分推论出新的一块的位置。我们就说这新的一块没有其他的“基本”。但是这和我们的拼法和次序有关,并不见得是自然本身决定的。如温伯格说的广义相对论与超弦论谁更基本的问题,可能就是一个伪问题:可能它们都是一个更大的理论的一部分。它们之间的可容性只有在这个更大的理论的框架下才能理解。
顺便提一下,惠勒(John ArchibaldWheeler)提出过另一个有趣的认识论。他说,我们所理解的科学研究过程可以由以下游戏来模拟:一群人坐在一间屋子里,约定好一个物品。另一个人走进来,要猜出那是什么。他挨个儿问这些人问题,回答是“是”或“否”。如果他的问题设计得好,就能成功地猜到。
但是,惠勒说,也许游戏其实不是如此。哪些人并没有约定物品。他们只是随机地提供回答,唯一的限制是不能与以前的回答相矛盾。对猜的人来说,他并看不出两个游戏有什么不同。他最后也能得到一个答案。但是这个答案不是预先存在的,而是取决于他所问的问题。
惠勒认为,科学研究也是一样。我们的研究活动都是与自然的相互作用,实际上同时也改变着自然。所以我们得到什么结果,取决于我们研究的方式。当然这是我很粗浅的理解,也有着明显的漏洞。有兴趣的话你自己去看惠勒的书吧。
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【因长度限制,原文的最后部分被删掉。原文可在http://www.nybooks.com/articles/article-preview?article_id=14263找到。】
Can Science Explain Everything? Anything?
By Steven Weinberg
One evening a few years ago I was with some other faculty membersat the University of Texas, telling a group of undergraduates aboutwork in our respective disciplines. I outlined the great progresswe physicists had made in explaining what was known experimentallyabout elementary particles and fields—how when I was a student Ihad to learn a large variety of miscellaneous facts aboutparticles, forces, and symmetries; how in the decade from themid-1960s to the mid-1970s all these odds and ends were explainedin what is now called the Standard Model of elementary particles;how we learned that these miscellaneous facts about particles andforces could be deduced mathematically from a few fairly simpleprinciples; and how a great collective Aha! then went out from thecommunity of physicists.
After my remarks, a faculty colleague (a scientist, but not aparticle physicist) commented, “Well, of course, you know sciencedoes not really explain things—it just describes them.” I hadheard this remark before, but now it took me aback, because I hadthought that we had been doing a pretty good job of explaining theobserved properties of elementary particles and forces, not justdescribing them.[1]
I think that my colleague’s remark may have come from a kind ofpositivistic angst that was widespread among philosophers ofscience in the period between the world wars. Ludwig Wittgensteinfamously remarked that “at the basis of the whole modern view ofthe world lies the illusion that the so-called laws of nature arethe explanations of natural phenomena.”
It might be supposed that something is explained when we find itscause, but an influential 1913 paper by Bertrand Russell had arguedthat “the word ’cause’ is so inextricably bound up with misleadingassociations as to make its complete extrusion from thephilosophical vocabulary desirable.”[2] This left philosophers likeWittgenstein with only one candidate for a distinction betweenexplanation and description, one that is teleological, defining anexplanation as a statement of the purpose of the thingexplained.
E.M. Forster’s novel Where Angels Fear to Tread gives a goodexample of teleology making the difference between description andexplanation. Philip is trying to find out why his friend Carolinehelped to bring about a marriage between Philip’s sister and ayoung Italian man of whom Philip’s family disapproves. AfterCaroline reports all the conversations she had with Philip’ssister, Philip says, “What you have given me is a description, notan explanation.” Everyone knows what Philip means by this—inasking for an explanation, he wants to learn Caroline’s purposes.There is no purpose revealed in the laws of nature, and not knowingany other way of distinguishing description and explanation,Wittgenstein and my friend had concluded that these laws could notbe explanations. Perhaps some of those who say that sciencedescribes but does not explain mean also to compare scienceunfavorably with theology, which they imagine to explain things byreference to some sort of divine purpose, a task declined byscience.
This mode of reasoning seems to me wrong not only substantively,but als procedurally. It is not the job of philosophers or anyoneelse to dictate meanings o words different from the meanings ingeneral use. Rather than argue that scientists ar incorrect whenthey say, as they commonly do, that they are explaining things whethey do their work, philosophers who care about the meaning ofexplanation i science should try to understand what it is thatscientists are doing when they say the are explaining something. IfI had to give an a priori definition of explanation i physics Iwould say, “Explanation in physics is what physicists have donewhen the say Aha!” But a priori definitions (including this one)are not much use.
As far as I can tell, this has become well understood byphilosophers of science at least since World War II. There is alarge modern literature on the nature of explanation, byphilosophers like Peter Achinstein, Carl Hempel, Philip Kitcher,and Wesley Salmon. From what I have read in this literature, Igather that philosophers are now going about this the right way:they are trying to develop an answer to the question “What is itthat scientists do when they explain something?” by looking at whatscientists are actually doing when they say they are explainingsomething.
Scientists who do pure rather than applied research commonly tellthe public and funding agencies that their mission is theexplanation of something or other, so the task of clarify-ing thenature of explanation can be pretty important to them, as well asto philosophers. This task seems to me to be a bit easier inphysics (and chemistry) than in other sciences, becausephilosophers of science have had trouble with the question of whatis meant by an explanation of an event (note Wittgenstein’sreference to “natural phenomena”) while physicists are interestedin the explanation of regularities, of physical principles, ratherthan of individual events.
Biologists, meteorologists, historians, and so on are concernedwith the causes of individual events, such as the extinction of thedinosaurs, the blizzard of 1888, the French Revolution, etc., whilea physicist only becomes interested in an event, like the foggingof Becquerel’s photographic plates that in 1897 were left in thevicinity of a salt of uranium, when the event reveals a regularityof nature, such as the instability of the uranium atom. PhilipKitcher has tried to revive the idea that the way to explain anevent is by reference to its cause, but which of the infinitenumber of things that could affect an event should be regarded asits cause?[3]
Within the limited context of physics, I think one can give ananswer of sorts to the problem of distinguishing explanation frommere description, which captures what physicists mean when they saythat they have explained some regularity. The answer is that weexplain a physical principle when we show that it can be deducedfrom a more fundamental physical principle. Unfortunately, toparaphrase something that Mary McCarthy once said about a book byLillian Hellman, every word in this definition has a questionablemeaning, including “we” and “a.” But here I will focus on the threewords that I think present the greatest difficulties: the words”fundamental,” “deduced,” and “principle.”
The troublesome word “fundamental” can’t be left out of thisdefinition, becaus deduction itself doesn’t carry a sense ofdirection; it often works both ways. The bes example I know isprovided by the relation between the laws of Newton and the law ofKep-ler. Everyone knows that Newton discovered not only a law thatsays th force of gravity decreases with the inverse square of thedistance, but also a law o motion that tells how bodies move underthe influence of any sort of force. Somewha earlier, Kepler haddescribed three laws of planetary motion: planets move on ellipsewith the sun at the focus; the line from the sun to any planetsweeps over equal area in equal times; and the squares of theperiods (the times it takes the various planets t go around theirorbits) are proportional to the cubes of the major diameters of thplanets’ orbits
It is usual to say that Newton’s laws explain Kepler’s. Buthistorically Newton’s law of gravitation was deduced from Kepler’slaws of planetary motion. Edmund Halley, Christopher Wren, andRobert Hooke all used Kepler’s relation between the squares of theperiods and the cubes of the diameters (taking the orbits ascircles) to deduce an inverse square law of gravitation, and thenNewton extended the argument to elliptical orbits. Today, ofcourse, when you study mechanics you learn to deduce Kepler’s lawsfrom Newton’s laws, not vice versa. We have a deep sense thatNewton’s laws are more fundamental than Kepler’s laws, and it is inthat sense that Newton’s laws explain Kepler’s laws rather than theother way around. But it’s not easy to put a precise meaning to theidea that one physical principle is more fundamental thananother.
It is tempting to say that more fundamental means morecomprehensive. Perhaps the best-known attempt to capture themeaning that scientists give to explanation was that of CarlHempel. In his well-known 1948 article written with Paul Oppenheim,he remarked that “the explanation of a general regularity consistsin subsuming it under another more comprehensive regularity, undera more general law.”[4] But this doesn’t remove the difficulty. Onemight say for instance that Newton’s laws govern not only themotions of planets but also the tides on Earth, the falling offruits from trees, and so on, while Kepler’s laws deal with themore limited context of planetary motions. But that isn’t strictlytrue. Kepler’s laws, to the extent that classical mechanics appliesat all, also govern the motion of electrons around the nucleus,where gravity is irrelevant. So there is a sense in which Kepler’slaws have a generality that Newton’s laws don’t have. Yet it wouldfeel absurd to say that Kepler’s laws explain Newton’s, whileeveryone (except perhaps a philosophical purist) is comfortablewith the statement that Newton’s laws explain Kepler’s.
This example of Newton’s and Kep-ler’s laws is a bit artificial,because there is no real doubt about which is the explanation ofthe other. In other cases the question of what explains what ismore difficult, and more important. Here is an example. Whenquantum mechanics is applied to Einstein’s general theory ofrelativity one finds that the energy and momentum in agravitational field come in bundles known as gravitons, particlesthat have zero mass, like the particle of light, the photon, buthave a spin equal to two (that is, twice the spin of the photon).On the other hand, it has been shown that any particle whose massis zero and whose spin is equal to two will behave just the waythat gravitons do in general relativity, and that the exchange ofthese gravitons will produce just the gravitational effects thatare predicted by general relativity. Further, it is a generalprediction of string theory that there must exist particles of masszero and spin two. So is the existence of the graviton explained bythe general theory of relativity, or is the general theory ofrelativity explained by the existence of the graviton? We don’tknow. On the answer to this question hinges a choice of our visionof the future of physics—will it be based on space-time geometry,as in general relativity, or on some theory like string theory thatpredicts the existence of gravitons?
The idea of explanation as deduction also runs into trouble when weconside physical principles that seem to transcend the principlesfrom which they have bee deduced. This is especially true ofthermodynamics, the science of heat an temperature and entropy.After the laws of thermodynamics had been formulated i thenineteenth century, Ludwig Boltzmann succeeded in deducing theselaws fro statistical mechanics, the physics of macroscopic samplesof matter that are compose of large numbers of individualmolecules. Boltzmann’s explanation o thermodynamics in terms ofstatistical mechanics became widely accepted, eve though it wasresisted by Max Planck, Ernst Zermelo, and a few other physicistswh held on to the older view of the laws of thermodynamics asfree-standing physica principles, as fundamental as any others. Butthen the work of Jacob Bekenstein an Stephen Hawking in thetwentieth century showed that thermodynamics also applie to blackholes, and not because they are composed of many molecules, butsimpl because they have a surface from which no particle or lightray can ever emerge. S thermodynamics seems to transcend thestatistical mechanics of many-body system from which it wasoriginally deduced
Nevertheless, I would argue that there is a sense in which the lawsof thermodynamics are not as fundamental as the principles ofgeneral relativity or the Standard Model of elementary particles.It is important here to distinguish two different aspects ofthermodynamics. On one hand, thermodynamics is a formal system thatallows us to deduce interesting consequences from a few simplelaws, wherever those laws apply. The laws apply to black holes,they apply to steam boilers, and to many other systems. But theydon’t apply everywhere. Thermodynamics would have no meaning ifapplied to a single atom. To find out whether the laws ofthermodynamics apply to a particular physical system, you have toask whether the laws of thermodynamics can be deduced from what youknow about that system. Sometimes they can, sometimes they can’t.Thermodynamics itself is never the explanation of anything—youalways have to ask why thermodynamics applies to whatever systemyou are studying, and you do this by deducing the laws ofthermodynamics from whatever more fundamental principles happen tobe relevant to that system.
In this respect, I don’t see much difference between thermodynamicsand Euclidean geometry. After all, Euclidean geometry applies in anastonishing variety of contexts. If three people agree that eachone will measure the angle between the lines of sight to the othertwo, and then they get together and add up those angles, the sumwill be 180 degrees. And you will get the same 180-degree resultfor the sum of the angles of a triangle made of steel bars or ofpencil lines on a piece of paper. So it may seem that geometry ismore fundamental than optics or mechanics. But Euclidean geometryis a formal system of inference based on postulates that may or maynot apply in a given situation. As we learned from Einstein’sgeneral theory of relativity, the Euclidean system does not applyin gravitational fields, though it is a very good approximation inthe relatively weak gravitational field of the earth in which itwas developed by Euclid. When we use Euclidean geometry to explainanything in nature we are tacitly relying on general relativity toexplain why Euclidean geometry applies in the case at hand.
In talking about deduction, we run into another problem: Who is itthat is doing th deducing? We often say that something is explainedby something else without ou actually being able to deduce it. Forexample, after the development of quantu mechanics in themid-1920s, when it became possible to calculate for the first timein clear and understandable way the spectrum of the hydrogen atomand the bindin energy of hydrogen, many physicists immediatelyconcluded that all of chemistry i explained by quantum mechanicsand the principle of electrostatic attraction betwee electrons andatomic nuclei. Physicists like Paul Dirac proclaimed that now all ochemistry had become understood. But they had not yet succeeded indeducing th chemical properties of any molecules except thesimplest hydrogen molecule Physicists were sure that all thesechemical properties were consequences of the law of quantummechanics as applied to nuclei and electrons
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