12.3.09

Democritus and Leucippus, the Great Greek Atomists

The founders of atomism were two, Leucippus and Democritus. It is difficult to disentangle them, because they are generally mentioned together, and apparently some of the works of Leucippus were subsequently attributed to Democritus. Leucippus, who seems to have flourished about 440 B.C., came from Miletus, and carried on the scientific rationalist philosophy associated with that city. He was much influenced by Parmenides and Zeno. So little is known of him that Epicurus (a later follower of Democritus) was thought to have denied his existence altogether, and some moderns have revived this theory. There are, however, a number of allusions to him in Aristotle, and it seems incredible that these (which include textual quotations) would have occurred if he had been merely a myth.

...The fundamental ideas of the common philosophy of Leucippus and Democritus were due to the former, but as regards the working out it is hardly possible to disentangle them, nor is it, for our purposes, important to make the attempt. Leucippus, if not Democritus, was led to atomism in the attempt to mediate between monism and pluralism, as represented by Parmenides and Empedocles respectively. Their point of view was remarkably like that of modern science, and avoided most of the faults to which Greek speculation was prone. They believed that everything is composed of atoms, which are physically, but not geometrically, indivisible; that between the atoms there is empty space; that atoms are indestructible; that they always have been, and always will be, in motion; that there are an infinite number of atoms, and even of kinds of atoms, the differences being as regards shape and size. Aristotle asserts that, according to the atomists, atoms also differ as regards heat, the spherical atoms, which compose fire, being the hottest; and as regards weight, he quotes Democritus as saying "The more any indivisible exceeds, the heavier it is." But the question whether atoms are originally possessed of weight in the theories of the atomists is a controversial one.

The atoms were always in motion, but there is disagreement among commentators as to the character of the original motion. Some, especially Zeller, hold that the atoms were thought to be always falling, and that the heavier ones fell faster; they thus caught up the lighter ones, there were impacts, and the atoms were deflected like billiard balls. This was certainly the view of Epicurus, who in most respects based his theories on those of Democritus, while trying, rather unintelligently, to take account of Aristotle's criticisms. But there is considerable reason to think that weight was not an original property of the atoms of Leucippus and Democritus. It seems more probable that, on their view, atoms were originally moving at random, as in the modern kinetic theory of gases. Democritus said there was neither up nor down in the infinite void, and compared the movement of atoms in the soul to that of motes in a sunbeam when there is no wind. This is a much more intelligent view than that of Epicurus, and I think we may assume it to have been that of Leucippus and Democritus.

As a result of collisions, collections of atoms came to form vortices....

It was common in antiquity to reproach the atomists with attributing everything to chance. They were, on the contrary, strict determinists, who believed that everything happens in accordance with natural laws. Democritus explicitly denied that anything can happen by chance. Leucippus, though his existence is questioned, is known to have said one thing: "Naught happens for nothing, but everything from a ground and of necessity." It is true that he gave no reason why the world should originally have been as it was; this, perhaps, might have been attributed to chance. But when once the world existed, its further development was unalterably fixed by mechanical principles. Aristotle and others reproached him and Democritus for not accounting for the original motion of the atoms, but in this the atomists were more scientific than their critics. Causation must start from something, and wherever it starts no cause can be assigned for the initial datum. The world may be attributed to a Creator, but even then the Creator Himself is unaccounted for. The theory of the atomists, in fact, was more nearly that of modern science than any other theory propounded in antiquity.

The atomists, unlike Socrates, Plato, and Aristotle, sought to explain the world without introducing the notion of purpose or final cause. The "final cause" of an occurrence is an event in the future for the sake of which the occurrence takes place. In human affairs, this conception is applicable. Why does the baker make bread? Because people will be hungry. Why are railways built? Because people will wish to travel. In such cases, things are explained by the purpose they serve. When we ask "why?" concerning an event, we may mean either of two things. We may mean: "What purpose did this event serve?" or we may mean: "What earlier circumstances caused this event?" The answer to the former question is a teleological explanation, or an explanation by final causes; the answer to the latter question is a mechanistic explanation. I do not see how it could have been known in advance which of these two questions science ought to ask, or whether it ought to ask both. But experience has shown that the mechanistic question leads to scientific knowledge, while the teleological question does not. The atomists asked the mechanistic question, and gave a mechanistic answer. Their successors, until the Renaissance, were more interested in the teleological question, and thus led science up a blind alley.

In regard to both questions alike, there is a limitation which is often ignored, both in popular thought and in philosophy. Neither question can be asked intelligibly about reality as a whole (including God), but only about parts of it. As regards the teleological explanation, it usually arrives, before long, at a Creator, or at least an Artificer, whose purposes are realized in the course of nature. But if a man is so obstinately teleological as to continue to ask what purpose is served by the Creator, it becomes obvious that his question is impious. It is, moreover, unmeaning, since, to make it significant, we should have to suppose the Creator created by some super-Creator whose purposes He served. The conception of purpose, therefore, is only applicable within reality, not to reality as a whole.

A not dissimilar argument applies to mechanistic explanations. One event is caused by another, the other by a third, and so on. But if we ask for a cause of the whole, we are driven again to the Creator, who must Himself be uncaused. All causal explanations, therefore, must have an arbitrary beginning. That is why it is no defect in the theory of the atomists to have left the original movements of the atoms unaccounted for.

It must not be supposed that their reasons for their theories were wholly empirical. The atomic theory was revived in modern times to explain the facts of chemistry, but these facts were not known to the Greeks. There was no very sharp distinction, in ancient times, between empirical observation and logical argument. Parmenides, it is true, treated observed facts with contempt, but Empedocles and Anaxagoras would combine much of their metaphysics with observations on water-clocks and whirling buckets. Until the Sophists, no philosopher seems to have doubted that a complete metaphysic and cosmology could be established by a combination of much reasoning and some observation. By good luck, the atomists hit on a hypothesis for which, more than two thousand years later, some evidence was found, but their belief, in their day, was none the less destitute of any solid foundation.

...As regards space, the modern view is that it is neither a substance, as Newton maintained, and as Leucippus and Democritus ought to have said, nor an adjective of extended bodies, as Descartes thought, but a system of relations, as Leibniz held. It is not by any means clear whether this view is compatible with the existence of the void. Perhaps, as a matter of abstract logic, it can be reconciled with the void. We might say that, between any two things, there is a certain greater or smaller distance, and that distance does not imply the existence of intermediate things. Such a point of view, however, would be impossible to utilize in modern physics. Since Einstein, distance is between events, not between things, and involves time as well as space. It is essentially a causal conception, and in modern physics there is no action at a distance. All this, however, is based upon empirical rather than logical grounds. Moreover the modern view cannot be stated except in terms of differential equations, and would therefore be unintelligible to the philosophers of antiquity.

It would seem, accordingly, that the logical development of the views of the atomists is the Newtonian theory of absolute space, which meets the difficulty of attributing reality to notbeing. To this theory there are no logical objections. The chief objection is that absolute space is absolutely unknowable, and cannot therefore be a necessary hypothesis in an empirical science. The more practical objection is that physics can get on without it. But the world of the atomists remains logically possible, and is more akin to the actual world than is the world of any other of the ancient philosophers.

Democritus worked out his theories in considerable detail, and some of the working out is interesting. Each atom, he said, was impenetrable and indivisible because it contained no void. When you use a knife to cut an apple, the knife has to find empty places where it can penetrate; if the apple contained no void, it would be infinitely hard and therefore physically indivisible. Each atom is internally unchanging... The only things that atoms do are to move and hit each other, and sometimes to combine when they happen to have shapes that are capable of interlocking. They are of all sorts of shapes; fire is composed of small spherical atoms, and so is the soul. Atoms, by collision, produce vortices, which generate bodies and ultimately worlds. There are many worlds, some growing, some decaying; some may have no sun or moon, some several. Every world has a beginning and an end. A world may be destroyed by collision with a larger world. This cosmology may be summarized in Shelley's words:

Worlds on worlds are rolling ever From creation to decay, Like the bubbles on a river Sparkling, bursting, borne away.

Life developed out of the primeval slime. There is some fire everywhere in a living body, but most in the brain or in the breast. (On this, authorities differ.) Thought is a kind of motion, and is thus able to cause motion elsewhere. Perception and thought are physical processes. Perception is of two sorts, one of the senses, one of the understanding. Perceptions of the latter sort depend only on the things perceived, while those of the former sort depend also on our senses, and are therefore apt to be deceptive. Like Locke, Democritus held that such qualities as warmth, taste, and colour are not really in the object, but are due to our sense-organs, while such qualities as weight, density, and hardness are really in the object.

Democritus was a thorough-going materialist; for him, as we have seen, the soul was composed of atoms, and thought was a physical process. There was no purpose in the universe; there were only atoms governed by mechanical laws. He disbelieved in popular religion, and he argued against the nous of Anaxagoras. In ethics he considered cheerfulness the goal of life, and regarded moderation and culture as the best means to it. He disliked everything violent and passionate; he disapproved of sex, because, he said, it involved the overwhelming of consciousness by pleasure. He valued friendship, but thought ill of women, and did not desire children, because their education interferes with philosophy. In all this, he was very like Jeremy Bentham; he was equally so in his love of what the Greeks called democracy.

Democritus—such, at least, is my opinion—is the last of the Greek philosophers to be free from a certain fault which vitiated all later ancient and medieval thought. All the philosophers we have been considering so far were engaged in a disinterested effort to understand the world. They thought it easier to understand than it is, but without this optimism they would not have had the courage to make a beginning. Their attitude, in the main, was genuinely scientific whenever it did not merely embody the prejudices of their age. But it was not only scientific; it was imaginative and vigorous and filled with the delight of adventure. They were interested in everything—meteors and eclipses, fishes and whirlwinds, religion and morality; with a penetrating intellect they combined the zest of children.

From this point onwards, there are first certain seeds of decay, in spite of previously unmatched achievement, and then a gradual decadence. What is amiss, even in the best philosophy after Democritus, is an undue emphasis on man as compared with the universe. First comes scepticism, with the Sophists, leading to a study of how we know rather than to the attempt to acquire fresh knowledge. Then comes, with Socrates, the emphasis on ethics; with Plato, the rejection of the world of sense in favour of the self-created world of pure thought; with Aristotle, the belief in purpose as the fundamental concept in science. In spite of the genius of Plato and Aristotle, their thought has vices which proved infinitely harmful. After their time, there was a decay of vigour, and a gradual recrudescence of popular superstition. A partially new outlook arose as a result of the victory of Catholic orthodoxy; but it was not until the Renaissance that philosophy regained the vigour and independence that characterize the predecessors of Socrates.


The History of Western Philosophy, Bertrand Russell, Chapter 9

11.3.09

Quantum Theory's Shocking Implications

Quantum theory was developed early in the twentieth century to explain the "mechanics"—the mechanism—governing the behavior of atoms. The energy of an atom was found to change only by a discrete quantity, a quantum, hence quantum mechanics, a term that includes both the actual experimental observations and the quantum theory explaining them.

Quantum theory is at the base of every natural science from chemistry to cosmology. We need it to understand why the sun shines, how TV sets produce pictures, why grass is green, and how the universe started in the Big Bang. Much of modern technology is based on devices designed with quantum mechanics.

Prequantum physics, classical mechanics, or classical physics, sometimes called Newtonian physics, is usually an excellent approximation for objects much larger than molecules, and it is simpler to use than quantum theory. But it is only an approximation, and it does not work at all for the atoms that everything is made of. Nevertheless, classical physics is basic to our conventional wisdom, our Newtonian world-view. But it's a world-view we now know is fundamentally flawed.

Since ancient times philosophers have come up with esoteric speculations on the nature of physical reality. But earlier generations had the logical option of rejecting such theorizing and holding to a straightforward, commonsense picture. Today, in light of facts demonstrated in quantum experiments, that common-sense view is no longer a logical option.

Can a world-view suggested by quantum mechanics have relevance beyond science? Consider a couple of other questions: Did Copernicus's denial that Earth was the center of the cosmos have relevance beyond science? What about Darwin's theory of evolution? The relevance of quantum mechanics is, in a sense, more immediate than either Copernican or Darwinian ideas, which deal with the long ago or far away. Quantum theory is about the here and now and even encounters the essence of our humanity, our consciousness.

Why then hasn't quantum theory had the intellectual and societal impact of those other insights? Perhaps because those others are easier to comprehend—and much easier to believe. You can roughly summarize the implications of Copernicus or Darwin in a few sentences. To the modern mind at least, those ideas seem reasonable. Try summarizing the implications of quantum theory, and what you get sounds mystical.

Let's try a rough summary anyway. To account for the demonstrated facts, quantum theory tells us that an observation of one object can instantaneously influence the behavior of another greatly distant object—even if no physical force connects the two. Einstein rejected such influences as "spooky interactions," but they have now been demonstrated to exist. Quantum theory also tells us that observing an object to be someplace causes it to be there. For example, according to quantum theory, an object can be in two, or many, places at once—even far distant places. Its existence at the particular place it happens to be found becomes an actuality only upon its (conscious) observation.

This seems to deny the existence of a physically real world independent of our observation of it. You can see why Einstein was troubled. Erwin Schrodinger, a founder of modern quantum theory, told his now famous cat story to illustrate that since the quantum theory applies to the large as well as the small, the theory is saying something absurd. Schrodinger's cat, according to quantum theory, could be simultaneously dead and alive—until your observation causes it to be either dead or alive. Moreover, finding the cat dead would create a history of its developing rigor mortis; finding it alive would create a history of its developing hunger—backward in time.

Anyone who takes the implications of quantum theory seriously would presumably agree that you can't accept it with equanimity. Niels Bohr, the theory's principal interpreter, tells us: 'Anyone not shocked by quantum mechanics has not understood it." But a physicist setting out to design a laser or to explain the behavior of quarks, semiconductors, or stars must concentrate on his or her down-to-earth goal and ignore the theory's "shocking' implications. That is why, in teaching quantum mechanics to physics, chemistry, and engineering students, we avoid dealing with such things as the nature of reality or consciousness.

In fact, even mentioning such issues raises eyebrows. The story is told of a graduate student asking Richard Feynman: "Aside from being a tool for calculation, what actually is the quantum wavefunciion?" The only response overheard was: "Shh! First close the door." As J. M. Jauch puts it: "For many thoughtful physicists, [the deeper meaning of quantum mechanics) has remained a kind of skeleton in the closet.''

Back in the 1950s it was said that any nontenured faculty member in a physics department would endanger his or her career by showing interest in the implications of quantum theory. This is only somewhat less true today, but times are changing. Exploration of the fundamental issues in quantum mechanics increases today and extends beyond physics to psychology, philosophy, and artificial intelligence.

...The quantum enigma has challenged physicists for eight decades. Is it possible that crucial clues lie outside the expertise of physicists? Remarkably, the enigma can be presented essentially full-blown to nonscientists. Might someone unencumbered by years of training in the use of quantum theory have a new insight? After all. it was a child who pointed out that the emperor wore no clothes.


Quantum Enigma, Bruce Rosenblum, Fred Kuttner

It's Dreadfully Confusing!

Every day subatomic particles are created whenever cosmic particles from the sun or a distant galaxy collide with particles in our upper atmosphere. Specifically, these cosmic particles are protons, once known as cosmic rays, that are subatomic particles making up the nuclei of atoms. Few cosmic rays make their way to sea level. Hence nearly all of these newborn particles, called muons or mu mesons, are created at very high altitudes of our planet. These newborns can be counted with a little patience and a special device called a scintillation counter (which, as its name suggests, scintillates when something very tiny, like a muon, hits it). These counting devices can also determine what happens to these little babies after they have been detected. They can even count how long they live and what happens to them when they die. Upon death these particles decay, and when they decay, they suddenly disappear, leaving behind remnants.

Whereas we humans have a life span of around eighty years, give or take a few, muons survive intact for a much briefer time—an average of about two microseconds (two millionths of a second). However, some die very quickly, in under one microsecond, and some live for as long as six microseconds. Very few are found at the end of, say, eight microseconds.

In one experiment, physicists took scintillation counters to the top of a mountain 6300 feet above sea level. They counted the number of muons at that altitude and found that somewhere around 568 newborns passed into their counters each hour. They then followed the muons through their short lives, letting them travel down a short vertical tube where they came to rest and eventually decayed near a second scintillation counter. As expected, only 300 resting muons lived past two microseconds. Around 30 of them made it to the ripe old age of 6.3 microseconds. Because the scientists knew how far these particles traveled along the tube's length, they could determine how fast they flew before they rested and decayed, and they found that they moved at very near lightspeed.

Next, they took their counters down to the seaside. What did they anticipate there? Well, if a muon lived long enough and moved at near lightspeed, it could travel the 6300 feet down to sea level in about six microseconds. But given that most of them don't live that long, the scientists expected to find only a handful surviving— maybe 30 oldsters, say, who could make the journey.

Surprisingly, however, many more than 30 survived. In fact, around 412 made the trip without mishap.

How could that many live that long? Travel may add a certain pizzazz to ones life, but I have never heard of it lengthening one's life span. That is, not unless you take Einstein's relativity theory into account. The theory says that time does not function the same way for a moving object as it does for one standing still. Moving objects experience a slowing down of time, so that while the rest of the world passes through a given time period, the moving object passes a shorter time period. In this respect, we can estimate how long the 412 muons that reached sea level "thought" they had lived. It turns out that that they experienced a time period of only around 0.7 microseconds. Compare that with 6.3 microseconds—the time it takes to make the trip down the mountain at near lightspeed—and you see that this yields a factor of 9, exactly what would be calculated by Einstein's theory. In other words, the muons that survived the trip lived more than nine times their expected life span.

What is going on here? For the muons, nothing really extraordinary happened. They just lived their short, seven-tenths-of-a-microsecond life spans on their way down the mountain. But it just so happens that we on the ground passed through 6.3 microseconds of our life spans at the same time that the muons passed through only 0.7 microseconds. In what sense did these two periods take the same amount of time? In trying to think about such things, our very figures of speech become perplexing. Our language is so based on thinking in terms of absolute time that the mere idea of relative times hardly makes any sense. As Alice says, "It's dreadfully confusing!"

Relative distances, on the other hand, make sense. I can travel from my living room to my bedroom—some dozens of feet—by walking off a mile if I go downstairs, out the door, and around the block a few times before I walk into the bedroom. Or I can walk to the kitchen first and then to the bedroom. Each measure of distance is different. The distance is relative to the route I take. I always start in the living room and end up in the bedroom, but the distance I travel to get there can be, and is normally, different (since I rarely walk in a straight, shortest-distance line) each time I make the journey.

We assume that, in contrast to moving through space, moving from one point to another in time is possible only along a single "line" between those points. What if, however, time were not linear but more like distance? Then relative times would be understandable. We would say that those who went from one event to another would find their times as different from each other as if they had walked different distances between two points in space.


The Yoga of Time Travel, Fred Alan Wolf