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Beyond the “Mechanism” Metaphor in Physics

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In previous posts, I discussed the use of the “mechanism” metaphor in science. I argued that this metaphor was useful historically in helping us to make progress in understanding cause-and-effect patterns in nature, but was limited or even deceptive in a number of important respects. In particular, the field of biology is characterized by evidence of spontaneity, adaptability, progress, and cooperative behavior among life forms that make the mechanism metaphor inadequate in characterizing and explaining life.

Physics is widely regarded as the pinnacle of the “hard sciences” and, as such, the field most suited to the mechanism metaphor. In fact, many physicists are so wedded to the idea of the universe as a mechanism, that they are inclined to speak as if the universe literally was a mechanism, that we humans are actually living inside a computer simulation. Why alien races would go through the trouble of creating simulated humans such as ourselves, with such dull, slow-moving lives, is never explained. But physicists are able to get away with these wild speculations because of their stupendous success in explaining and predicting the motion and actions of objects, from the smallest particles to the largest galaxies.

Fundamental to the success of physics is the idea that all objects are subject to laws that determine their behavior. Laws are what determine how the various parts of the universal mechanism move and interact. But when one starts asking questions about what precisely physical laws are and where they come from, one runs into questions and controversies that have never been successfully resolved.

Prior to the Big Bang theory, developed in the early twentieth century, the prevailing theory among physicists was that the universe existed eternally and had no beginning. When an accumulation of astronomical observations about the expansion of the universe led to the conclusion that the universe probably began from a single point that rapidly expanded outward, physicists gradually came to accept that the idea that the universe had a beginning, in a so-called “Big Bang.” However, this raised a problem: if laws ran the universe, and the universe had a beginning, then the laws must have preexisted the universe. In fact, the laws must have been eternal.

But what evidence is there for the notion that the laws of the universe are eternal? Does it really make sense to think of the law of gravity as existing before the universe existed, before gravity itself existed, before planets, stars, space, and time existed? Does it make sense to think of the law of conservation of mass existing before mass existed, or Mendel’s laws of genetics existing before genes existed? Where and how did they exist? If you take the logic of physics far enough, one is apt to conclude that the laws of physics are some kind of God(s), or that God is a mechanism.

Furthermore, what is the evidence for the notion that laws completely determine the motion of every particle in the universe, that the universe is deterministic? Observations and experiments under controlled conditions confirmed that the laws of Newtonian physics could indeed predict the motions of various objects. But did these observations and experiments prove that all objects everywhere behaved in completely predictable patterns?

Despite some fairly large holes in the ideas of eternal laws and determinism, both ideas have been popular among physicists and among many intellectuals. There have been dissenters, however.

The French philosopher Henri Bergson (1859-1941) argued that the universe was in fact a highly dynamic system with a large degree of freedom within it. According to Bergson, our ideas about eternal laws originated in human attempts to understand the reality of change by using fixed, static concepts. These concepts were useful tools — in fact, the tools had to be fixed and static in order to be useful. But the reality that these concepts pointed to was in fact flowing, all “things” were in flux, and we made a major mistake by equating our static concepts with reality and positing a world of eternal forms, whether that of Plato or the physicists. Actual reality, according to Bergson, was “unceasing creation, the uninterrupted up-surge of novelty.” (Henri Bergson, The Creative Mind, p. 7) Moreover, the flow of time was inherently continuous; we could try to measure time by chopping it into equal segments based on the ticking of a clock or by drawing a graph with units of time along one axis, but real time did not consist of segments any more than a flowing river consisted of segments. Time is a “vehicle of creation and choice” that refutes the idea of determinism. (p. 75)

Bergson did not dispute the experimental findings of physics, but argued that the laws of physics were insufficient to describe what the universe was really like. Physicists denied the reality of time and “unceasing creation,” according to Bergson, because scientists were searching for repeatable patterns, paying little or no attention to what was genuinely new:

[A]gainst this idea of the absolute originality and unforeseeability of forms our whole intellect rises in revolt. The essential function of our intellect, as the evolution of life has fashioned it, is to be a light for our conduct, to make ready for our action on things, to foresee, for a given situation, the events, favorable or unfavorable, which may follow thereupon. Intellect therefore instinctively selects in a given situation whatever is like something already known. . .  Science carries this faculty to the highest possible degree of exactitude and precision, but does not alter its essential character. Like ordinary knowledge, in dealing with things science is concerned only with the aspect of repetition. (Henri Bergson, Creative Evolution, p. 29)

Bergson acknowledged the existence of repetitive patterns in nature, but rather than seeing these patterns as reflecting eternal and wholly deterministic laws, Bergson proposed a different metaphor. Drawing upon the work of the French philosopher Felix Ravaisson, Bergson argued that nature develops “habits” of behavior in the same manner that human beings develop habits, from initial choices of behavior that over time become regular and subconscious: “Should we not then imagine nature, in this form, as an obscured consciousness and a dormant will? Habit thus gives us the living demonstration of this truth, that mechanism is not sufficient to itself: it is, so to speak, only the fossilized residue of a spiritual activity.” In Bergson’s view, spiritual activity was the ultimate foundation of reality, not the habits/mechanisms that resulted from it (The Creative Mind, pp. 197-98, 208).

Bergson’s views did not go over well with most scientists. In 1922, in Paris, Henri Bergson publicly debated Albert Einstein about the nature of time. (See Jimena Canales, The Physicist and the Philosopher: Einstein, Bergson, and the Debate that Changed Our Understanding of Time). Einstein’s theory of relativity posited that there was no absolute time that ticked at the same rate for every body in the universe. Time was linked to space in a single space-time continuum, the movement of bodies was entirely deterministic, and this movement could be predicted by calculating the space-time coordinates of these bodies. In Einstein’s view, there was no sharp distinction between past, present, and future — all events existed in a single block of space-time. This idea of a “block universe” is still predominant in physics today, though it is not without dissenters.

Most people have a “presentist” view of reality.

But physicists prefer the “block universe” view, in which all events are equally real.

Source: Time in Cosmology

 

In fact, when Einstein’s friend Michele Besso passed away in 1955, Einstein wrote a letter of condolence to Besso’s family in which he expressed his sympathies to the family but also declared that the separation between past, past, and future was an illusion anyway, so death did not mean anything. (The Physicist and the Philosopher, pp. 338-9)

It is widely believed that Bergson lost his 1922 debate with Einstein, in large part because Bergson did not fully understand Einstein’s theory of relativity. Nevertheless, while physicists everywhere eventually came to accept relativity, many rejected Einstein’s notion of a completely determinist universe which moved as predictably as a mechanism. The French physicist Louis de Broglie and the Japanese physicist Satosi Watanabe were proponents of Bergson and argued that the indeterminacy of subatomic particles supported Bergson’s view of the reality of freedom, the flow of time, and change. Einstein, on the other hand, never did accept the indeterminacy of quantum physics and insisted to his dying day that there must be “hidden” variables that would explain everything.  (The Physicist and the Philosopher, pp. 234-38)

 

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Moving forward to the present day, the debate over the reality of time has been rekindled by Lee Smolin, a theoretical physicist at the Perimeter Institute for Theoretical Physics. In Time Reborn, Smolin proposes that time is indeed real and that the neglect of this fact has hindered progress in physics and cosmology. Contrary to what you may have been taught in your science classes, Smolin argues that the laws of nature are not eternal and precise but emergent and approximate. Borrowing the theory of evolution from biology, Smolin argues that the laws of the universe evolve over time, that genuine novelty is real, and that the laws are not precise iron laws but approximate, granting a degree of freedom to what was formerly considered a rigidly deterministic universe.

One major problem with physics, Smolin argues, is that scientists tend to generalize or extrapolate based on conclusions drawn from laboratory experiments conducted under highly controlled conditions, with extraneous variables carefully excluded — Smolin calls this “physics in a box.” Now there is nothing inherently wrong with “physics in a box” — carefully controlled experiments that exclude extraneous variables are absolutely essential to progress in scientific knowledge. The problem is that one cannot take a law derived from such a controlled experiment and simply scale it up to apply to the entire universe; Smolin calls this the “cosmological fallacy.” As Smolin argues, it makes no sense to simply scale up the findings from these controlled experiments, because the universe contains everything, including the extraneous variables! Controlled experiments are too restricted and artificial to serve as an adequate basis for a theory that includes everything. Instead of generalizing from the bottom up based on isolated subsystems of the universe, physicists must construct theories of the whole universe, from the top down. (Time Reborn, pp. 38-39, 97)

Smolin is not the first scientist to argue that the laws of nature may have evolved over time. Smolin points to the eminent physicists Paul Dirac, John Archibald Wheeler, and Richard Feynman as previous proponents of the idea that the laws may have evolved. (Time Reborn, pp. xxv-xxvi) But all of these theorists were preceded by the American philosopher and scientist Charles Sanders Peirce (1839-1914), who argued that “the only possible way of accounting for the laws of nature and for uniformity in general is to suppose them results of evolution.” (Time Reborn, p. xxv) Dr. Smolin gives credit to Charles Sanders Peirce for originating this idea, and proposes two ways in which the laws of nature have evolved.

The first way is through a series of “Big Bangs,” in which each new universe selects different laws each time. Smolin argues that there must have been an endless succession of Big Bangs in the past which have led to our current universe with its particular set of laws. (p. 120) Furthermore, Smolin proposes that black holes create new, baby universes, each with its own laws — so the black holes in our universe are the parents of other universes, and our own universe is the child of a black hole in some other universe! (pp. 123-25) Unfortunately, it seems impossible to adequately prove this theory, unless there is some possible way of observing these other universes with their different laws.

Smolin also proposes that laws can arise at the quantum level based on what he calls the “principle of precedence.” Smolin makes an analogy to Anglo-Saxon law, in which the decisions of judges in the past serve as precedents for decisions made today and in the future, in an ever-growing body of “common law.” The idea is that everything in the universe has a tendency to develop habits; when a truly novel event occurs, and then occurs again, and again, it settles into a pattern of repetition; that settled pattern of repetition indicates the development of a new law of nature. The law did not previously exist eternally — it emerged out of habit. (Time Reborn, pp. 146-53) Furthermore, rather than being bound by deterministic laws, the universe remains genuinely open and free, able to build new forms on top of existing forms. Smolin argues, “In the time-bound picture I propose, the universe is a process for breeding novel phenomena and states of organization, which will forever renew itself as it evolves to states of ever higher complexity and organization. The observational record tells us unambiguously that the universe is getting more interesting as time goes on.” (p. 194)

And yet, despite his openness to the idea of genuine novelty in the evolution of the universe, even Smolin is unable to get away from the idea of mechanisms being ultimately responsible for everything. Smolin writes that the universe began with a particular set of initial conditions and then asks “What mechanism selected the actual initial conditions out of the infinite set of possibilities?” (pp. 97-98) He does not consider the possibility that in the beginning, perhaps there was no mechanism. Indeed, this is the problem with any cosmology that aims to provide a total explanation for existence; as one goes back in time searching for origins, one eventually reaches a first cause that has no prior cause, and thus no causal explanation. One either has to posit a creator-God, an eternal self-sufficient mechanism, or throw up one’s hands and accept that we are faced with an unsolvable mystery.

In fact, Smolin is not as radical as his inspiration, Charles Sanders Peirce. According to Peirce, the universe did not start out with a mechanism but rather began from a condition of maximum freedom and spontaneity, only gradually adopting certain “habits” which evolved into laws. Furthermore, even after the development of laws, the universe retained a great deal of chance and spontaneity. Laws specified certain regularities, but even within these regularities, a great deal of freedom still existed. For example, life forms may have been bound to the surface of the earth and subject to the regular rotation of the earth, the orbit of the earth around the sun, and the limitations of biology, but nonetheless life forms still retained considerable freedom.

Peirce, who believed in God, held that the universe was pervaded not by mechanism but mind, which was by definition characterized by freedom and spontaneity. As the mind/universe developed certain habits, these habits congealed into laws and solid matter. In Peirce’s view, “matter . . . [is] mere specialised and partially deadened mind.” (“The Law of Mind,” The Monist, vol. 11, no. 4, July 1892) This view is somewhat similar to the view of the physicist Werner Heisenberg, who noted that “Energy is in fact the substance from which all elementary particles, all atoms and therefore all things are made. . . .”

One contemporary philosopher, Philip Goff of Durham University, following Peirce and other thinkers, has argued that consciousness is not restricted to humans but in fact pervades the universe, from the smallest subatomic particles to the most intelligent human beings. This theory is known as panpsychism. (see Goff’s book Galileo’s Error: Foundations for a New Science of Consciousness) Goff does not argue that atoms, rocks, water, stars, etc. are like humans in their thought process, but that they have experiences, albeit very primitive and simple experiences compared to humans. The difference between the experiences of a human and the experiences of an electron is vast, but the difference still exists on a spectrum; there is no sharp dividing line that dictates that experience ends when one gets down to the level of insects, cells, viruses, molecules, atoms, or subatomic particles. In Dr. Goff’s words:

Human beings have a very rich and complex experience; horses less so; mice less so again. As we move to simpler and simpler forms of life, we find simpler and simpler forms of experience. Perhaps, at some point, the light switches off, and consciousness disappears. But it’s at least coherent to suppose that this continuum of consciousness fading while never quite turning off carries on into inorganic matter, with fundamental particles having almost unimaginably simple forms of experience to reflect their incredibly simple nature. That’s what panpsychists believe. . . .

The starting point of the panpsychist is that physical science doesn’t actually tell us what matter is. . . . Physics tells us absolutely nothing about what philosophers like to call the intrinsic nature of matter: what matter is, in and of itself. So it turns out that there is a huge hole in our scientific story. The proposal of the panpsychist is to put consciousness in that hole. Consciousness, for the panpsychist, is the intrinsic nature of matter. There’s just matter, on this view, nothing supernatural or spiritual. But matter can be described from two perspectives. Physical science describes matter “from the outside,” in terms of its behavior. But matter “from the inside”—i.e., in terms of its intrinsic nature—is constituted of forms of consciousness.

Unfortunately, there is, at present, no proof that the universe is pervaded by mind, nor is there solid evidence that the laws of physics have evolved. We do know that the science of physics is no longer as deterministic as it used to be. The behavior of subatomic particles is not fully predictable, despite the best efforts of physicists for nearly a century, and many physicists now acknowledge this. We also know that the concepts of laws and determinism often fail in the field of biology — there are very few actual laws in biology, and the idea that these laws preexisted life itself seems incoherent. No biologist will tell you that human beings in their present state are the inevitable product of determinist evolution and that if we started the planet Earth all over again, we would end up in 4.5 billion years with exactly the same types of life forms, including humans, that we have now. Nor can biologists predict the movement of life forms the same way that physicists can predict the movement of planets. Life forms do their own thing. Human beings retain their free will and moral responsibility. Still, the notion that the laws of physics are pre-existent and eternal appears to have no solid ground either; it is merely one of those assumptions that has become widely accepted because few have sought to challenge it or even ask for evidence.

What Does Science Explain? Part 5 – The Ghostly Forms of Physics

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The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work — that is, correctly to describe phenomena from a reasonably wide area. Furthermore, it must satisfy certain esthetic criteria — that is, in relation to how much it describes, it must be rather simple. — John von Neumann (“Method in the Physical Sciences,” in The Unity of Knowledge, 1955)

Now we come to the final part of our series of posts, “What Does Science Explain?” (If you have not already, you can peruse parts 1, 2, 3, and 4 here). As I mentioned in my previous posts, the rise of modern science was accompanied by a change in humanity’s view of metaphysics, that is, our theory of existence. Medieval metaphysics, largely influenced by ancient philosophers, saw human beings as the center or summit of creation; furthermore, medieval metaphysics proposed a sophisticated, multifaceted view of causation. Modern scientists, however, rejected much of medieval metaphysics as subjective and saw reality as consisting mainly of objects impacting or influencing each other in mathematical patterns.  (See The Metaphysical Foundations of Modern Science by E.A. Burtt.)

I have already critically examined certain aspects of the metaphysics of modern science in parts 3 and 4. For part 5, I wish to look more closely at the role of Forms in causation — what Aristotle called “formal causation.” This theory of causation was strongly influenced by Aristotle’s predecessor Plato and his Theory of Forms. What is Plato’s “Theory of Forms”? In brief, Plato argued that the world we see around us — including all people, trees, and animals, stars, planets and other objects — is not the true reality. The world and the things in it are imperfect and perishable realizations of perfect forms that are eternal, and that continually give birth to the things we see. That is, forms are the eternal blueprints of perfection which the material world imperfectly represents. True philosophers do not focus on the material world as it is, but on the forms that material things imperfectly reflect. In order to judge a sculpture, painting, or natural setting, a person must have an inner sense of beauty. In order to evaluate the health of a particular human body, a doctor must have an idea of what a perfectly healthy human form is. In order to evaluate a government’s system of justice, a citizen must have an idea about what perfect justice would look like. In order to critically judge leaders, citizens must have a notion of the virtues that such a leader should have, such as wisdom, honesty, and courage.  Ultimately, according to Plato, a wise human being must learn and know the perfect forms behind the imperfect things we see: we must know the Form of Beauty, the Form of Justice, the Form of Wisdom, and the ultimate form, the Form of Goodness, from which all other forms flow.

Unsurprisingly, many intelligent people in the modern world regard Plato’s Theory of Forms as dubious or even outrageous. Modern science teaches us that sure knowledge can only be obtained by observation and testing of real things, but Plato tells us that our senses are deceptive, that the true reality is hidden behind what we sense. How can we possibly confirm that the forms are real? Even Plato’s student Aristotle had problems with the Theory of Forms and argued that while the forms were real, they did not really exist until they were manifested in material things.

However, there is one important sense in which modern science retained the notion of formal causation, and that is in mathematics. In other words, most scientists have rejected Plato’s Theory of Forms in all aspects except for Plato’s view of mathematics. “Mathematical Platonism,” as it is called, is the idea that mathematical forms are objectively real and are part of the intrinsic order of the universe. However, there are also sharp disagreements on this subject, with some mathematicians and scientists arguing that mathematical forms are actually creations of the human imagination.

The chief difference between Plato and modern scientists on the study of mathematics is this: According to Plato, the objects of geometry — perfect squares, perfect circles, perfect planes — existed nowhere in the material world; we only see imperfect realizations. But the truly wise studied the perfect, eternal forms of geometry rather than their imperfect realizations. Therefore, while astronomical observations indicated that planetary bodies orbited in imperfect circles, with some irregularities and errors, Plato argued that philosophers must study the perfect forms instead of the actual orbits! (The Republic, XXVI, 524D-530C) Modern science, on the other hand, is committed to observation and study of real orbits as well as the study of perfect mathematical forms.

Is it tenable to hold the belief that Plato and Aristotle’s view of eternal forms is mostly subjective nonsense, but they were absolutely right about mathematical forms being real? I argue that this selective borrowing of the ancient Greeks doesn’t quite work, that some of the questions and difficulties with proving the reality of Platonic forms also afflicts mathematical forms.

The main argument for mathematical Platonism is that mathematics is absolutely necessary for science: mathematics is the basis for the most important and valuable physical laws (which are usually in the form of equations), and everyone who accepts science must agree that the laws of nature or the laws of physics exist. However, the counterargument to this claim is that while mathematics is necessary for human beings to conduct science and understand reality, that does not mean that mathematical objects or even the laws of nature exist objectively, that is, outside of human minds.

I have discussed some of the mysterious qualities of the “laws of nature” in previous posts (here and here). It is worth pointing out that there remains a serious debate among philosophers as to whether the laws of nature are (a) descriptions of causal regularities which help us to predict or (b) causal forces in themselves. This is an important distinction that most people, including scientists, don’t notice, although the theoretical consequences are enormous. Physicist Kip Thorne writes that laws “force the Universe to behave the way it does.” But if laws have that kind of power, they must be ubiquitous (exist everywhere), eternal (exist prior to the universe), and have enormous powers although they have no detectable energy or mass — in other words, the laws of nature constitute some kind of supernatural spirit. On the other hand, if laws are summary descriptions of causation, these difficulties can be avoided — but then the issue arises: do the laws of nature or of physics really exist objectively, outside of human minds, or are they simply human-constructed statements about patterns of causation? There are good reasons to believe the latter is true.

The first thing that needs to be said is that nearly all these so-called laws of nature are actually approximations of what really happens in nature, approximations that work only under certain restrictive conditions. Both of these considerations must be taken into account, because even the approximations fall apart outside of certain pre-specified conditions. Newton’s law of universal gravitation, for example, is not really universal. It becomes increasingly inaccurate under conditions of high gravity and very high velocities, and at the atomic level, gravity is completely swamped by other forces. Whether one uses Newton’s law depends on the specific conditions and the level of accuracy one requires. Kepler’s laws of planetary motion are an approximation based on the simplifying assumption of a planetary system consisting of one planet. The ideal gas law is an approximation which becomes inaccurate under conditions of low temperature and/or high pressure. The law of multiple proportions works for simple molecular compounds, but often fails for complex molecular compounds. Biologists have discovered so many exceptions to Mendel’s laws of genetics that some believe that Mendel’s laws should not even be considered laws.

The fact of the matter is that even with the best laws that science has come up with, we still can’t predict the motions of more than two interacting astronomical bodies without making unrealistic simplifying assumptions. Michael Scriven, a mathematician and philosopher at Claremont Graduate University, has concluded that the laws of nature or physics are actually cobbled together by scientists based on multiple criteria:

Briefly we may say that typical physical laws express a relationship between quantities or a property of systems which is the simplest useful approximation to the true physical behavior and which appears to be theoretically tractable. “Simplest” is vague in many cases, but clear for the extreme cases which provide its only use. “Useful” is a function of accuracy and range and purpose. (Michael Scriven, “The Key Property of Physical Laws — Inaccuracy,” in Current Issues in the Philosophy of Science, ed. Herbert Feigl)

The response to this argument is that it doesn’t disprove the objective existence of physical laws — it simply means that the laws that scientists come up with are approximations to real, objectively existing underlying laws. But if that is the case, why don’t scientists simply state what the true laws are? Because the “laws” would actually end up being extremely long and complex statements of causation, with so many conditions and exceptions that they would not really be considered laws.

An additional counterargument to mathematical Platonism is that while mathematics is necessary for science, it is not necessary for the universe. This is another important distinction that many people overlook. Understanding how things work often requires mathematics, but that doesn’t mean the things in themselves require mathematics. The study of geometry has given us pi and the Pythagorean theorem, but a child does not need to know these things in order to draw a circle or a right triangle. Circles and right triangles can exist without anyone, including the universe, knowing the value of pi or the Pythagorean theorem. Calculus was invented in order to understand change and acceleration; but an asteroid, a bird, or a cheetah is perfectly capable of changing direction or accelerating without needing to know calculus.

Even among mathematicians and scientists, there is a significant minority who have argued that mathematical objects are actually creations of the human imagination, that math may be used to model aspects of reality, but it does not necessarily do so. Mathematicians Philip J. Davis and Reuben Hersh argue that mathematics is the study of “true facts about imaginary objects.” Derek Abbot, a professor of engineering, writes that engineers tend to reject mathematical Platonism: “the engineer is well acquainted with the art of approximation. An engineer is trained to be aware of the frailty of each model and its limits when it breaks down. . . . An engineer . . . has no difficulty in seeing that there is no such a thing as a perfect circle anywhere in the physical universe, and thus pi is merely a useful mental construct.” (“The Reasonable Ineffectiveness of Mathematics“) Einstein himself, making a distinction between mathematical objects used as models and pure mathematics, wrote that “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.” Hartry Field, a philosopher at New York University, has argued that mathematics is a useful fiction that may not even be necessary for science. Field goes to show that it is possible to reconstruct Newton’s theory of gravity without using mathematics. (There is more discussion on this subject here and here.)

So what can we conclude about the existence of forms? I have to admit that although I’m skeptical, I have no sure conclusions. It seems unlikely that forms exist outside the mind . . . but I can’t prove they don’t exist either. Forms do seem to be necessary for human reasoning — no thinking human can do without them. And forms seem to be rooted in reality: perfect circles, perfect squares, and perfect human forms can be thought of as imaginative projections of things we see, unlike Sherlock Holmes or fire-breathing dragons or flying spaghetti monsters, which are more creatively fictitious. Perhaps one could reconcile these opposing views on forms by positing that the human mind and imagination is part of the universe itself, and that the universe is becoming increasingly consciously aware.

Another way to think about this issue was offered by Robert Pirsig in Zen and the Art of Motorcycle Maintenance. According to Pirsig, Plato made a mistake by positing Goodness as a form. Even considered as the highest form, Goodness (or “Quality,” in Pirsig’s terminology) can’t really be thought of as a static thing floating around in space or some otherworldly realm. Forms are conceptual creations of humans who are responding to Goodness (Quality). Goodness itself is not a form, because it is not an unchanging thing — it is not static or even definable. It is “reality itself, ever changing, ultimately unknowable in any kind of fixed, rigid way.” (p. 342) Once we let go of the idea that Goodness or Quality is a form, we can realize that not only is Goodness part of reality, it is reality.

As conceptual creations, ideal forms are found in both science and religion. So why, then, does there seem to be such a sharp split between science and religion as modes of knowledge? I think it comes down to this: science creates ideal forms in order to model and predict physical phenomena, while religion creates ideal forms in order to provide guidance on how we should live.

Scientists like to see how things work — they study the parts in order to understand how the wholes work. To increase their understanding, scientists may break down certain parts into smaller parts, and those parts into even smaller parts, until they come to the most fundamental, indivisible parts. Mathematics has been extremely useful in modeling and understanding these parts of nature, so scientists create and appreciate mathematical forms.

Religion, on the other hand, tends to focus on larger wholes. The imaginative element of religion envisions perfect states of being, whether it be the Garden of Eden or the Kingdom of Heaven, as well as perfect (or near perfect) humans who serve as prophets or guides to a better life. Religion is less concerned with how things work than with how things ought to work, how things ought to be. So religion will tend to focus on subjects not covered by science, including the nature and meaning of beauty, love, and justice. There will always be debates about the appropriateness of particular forms in particular circumstances, but the use of forms in both science and religion is essential to understanding the universe and our place in it.