06 February 2026

Philosophical Detritus V: Determinism and Free Will.

I'm about write an essay about determinism and free will. No one is compelling me to do this; I just noticed that a lot of people were confused, and I hope to arrive at some clarity. I do not know in advance what each sentence is going to say or how many sentences there will be. I don't even know, as I start writing, all the ideas that I'm going to explore. I do research and learn things as I go. But I sit and write, usually in several sessions, until I think I've covered the topic adequately, and voila, another essay emerges.

English has a large vocabulary, with many nuances and synonyms. It also has a very flexible grammar, allowing ideas to be stated in many different ways with slightly different emphases. Moreover, the issues I want to write about are complex. 

There are a million essays I might have written. How did I come to write this particular one? It certainly feels like I chose the words and sentences as I sit and  deliberate on what to say and how to say it. Most especially when I write a sentence one way and then subsequently change the wording or phrasing. But what is really going on?

Do I choose words on a coolly rational basis, with no input from any other faculty, including my own emotions? Or were the words that I apparently chose to write actually predetermined by the laws of physics at the time of the Big Bang? Are either of these two widely believed possibilities plausible? Should I appeal to some middle ground, or should I find some completely different way to frame the discussion? How would I even know?

Of the legacy philosophical concepts I've commented on in this series of essays, determinism and free will are probably the least coherent. And this essay has been the most difficult to write. There are so many different approaches that even a basic overview of the main currents in this topic would be longer than I intend this essay to be. For any given statement one can make, the contrary is likely to be vigorously asserted by someone else. As before, my aim is to try to cut through the bullshit with some pragmatism. There's just so much of it in this case.

The plethora of approaches for both determinism and free will (viewed as standalone concepts) are only multiplied when they are combined into one argument, where they are sometimes mutually exclusive and sometimes compatible. There is no consensus on either term on its own, and no consensus on how the two relate. It's not just that we disagree on details. There is no consensus on how to conceptually frame this discussion. In the case of free will, those who take a determinist stance argue that it simply doesn't exist, so there is nothing to frame. The situation is not helped when commentators tacitly assume a worldview and proceed as if that view is normative, which is all too common.

In matters related to determinism and free will, there is a profound dissensus and continuing divergence of views amongst intellectuals. The issue only becomes more complex over time. This abject failure to agree is sometimes presented positively as pluralism; however, in genuine pluralism, we expect a range of coherent positions that compete to explain some phenomenon. Here, we cannot even agree that there is a phenomenon to be explained.

Discussions of this type have been documented for thousands of years. Nowhere are the failures of academic philosophy and science more starkly revealed than in such long-term unresolved issues. I agree with Einstein that concepts should be as simple as possible, but no simpler. I'm not arguing for an enforced unity or some naive oversimplification. I'm genuinely perturbed by wanting to understand such issues and finding them so hopelessly lost in the weeds. At this point, it would take considerable effort to do worse than professional philosophers.

Academic philosophy seems to have devolved into competitive sophistry, completely unrelated to the lives that most of us live. Of course, people who like arguments find competitive sophistry endlessly entertaining. While arguing can be a diverting hobby for some, the rest of us find it annoying and counterproductive: it doesn't really change anything. 

One of the main themes of these essays has been the lack of epistemic privilege. No person has privileged access to reality. Ergo, no one is in a position of authority vis-à-vis reality. And this was strongly pointed out by both David Hume (1711 – 1776) and Immanuel Kant (1724 – 1804). Rather than admit this, priests, scientists, and philosophers all seem to charge ahead regardless. And so confusion reigns. And I find this intensely irritating. Unlike some of my other suggestions about legacy concepts, I don't see anything here worth rescuing.

I think the whole, millennia-long exercise of arguing about determinism and free will has been a gigantic waste of everyone's time. If you are confused about this topic and go looking for clarity amongst philosophers, scientists, or historians, all you will find is a great deal more confusion. The topic is a tangle of shifting definitions, hidden assumptions, and conflicting ideological commitments. No layperson has any hope of finding genuine clarity, but all kinds of pseudo-clarity are on sale.

Pragmatically, we all experience making decisions and choices; we experience the impact of the choices we make and the impact of the choices that others make. This has to be our starting point. But we also have to acknowledge that we are often baffled by our own decisions. Decisions involve conscious and unconscious mechanisms. Any philosophy which does not say something constructive about these is not worth our time and energy. 


Demonic Determinism

The modern idea of determinism is often traced to the great French mathematician  Pierre Simon, Marquis de Laplace (1749–1827). In 1814, he wrote:

“We ought then to regard the present state of the universe as the effect of its anterior state and as the cause of the one which is to follow. Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective situation of the beings who compose it—an intelligence sufficiently vast to submit these data to analysis—it would embrace in the same formula the movements of the greatest bodies of the universe and those of the lightest atom; for it, nothing would be uncertain and the future, as the past, would be present to its eyes.”
— Essai philosophique sur les probabilités. (tr. by F. W. Truscott and F. L. Emory) Chapman & Hall, 1902. p.4.

The "intelligence" (une intelligence) mentioned by Laplace somehow became known in English as "Laplace's demon". While we credit Laplace, this mechanistic idea about the universe seems to have been quite widely accepted at the time. 

These days, we usually sum up the idea by saying that if we knew the location and momentum of every particle in the universe with perfect accuracy and precision, and if we also knew all the laws of physics that govern particles to the same perfect degree, then we could perfectly predict the future. 

In this hypothetical, the word if is doing a lot of work. For example, it is assumed in this view that such knowledge is theoretically possible. Remember that Laplace was saying this a century before quantum physics had been conceived. His view of the universe was purely classical and mechanistic.

Laplace also assumes that we can always recover the past by putting in negative values for time into some mathematical description of nature. This is true of classical laws of motion, but it's not possible in statistical mechanics (and thus thermodynamics) or in quantum mechanics. And note that all we get from this exercise is knowledge of the past, not the actual past (I will come back to this point in an essay about time and time travel).

The idea of "conservation of information" is quite popular, though it's unrelated to physical conservation laws based on physical symmetries in the universe (Noether's theorem). As far as I can see, the idea that "information" is conserved relies on a series of ontological presuppositions that cannot be true, not least of which is the assumption that the universe is absolutely deterministic. Arguments along the lines that, apparently, lost information is only hidden and unrecoverable, rather than truly lost, seem to have a weird definition of "lost".

The basic idea of determinism is that events can only occur in one way. All events are absolutely predetermined in advance by the starting conditions of the universe and the combined laws of nature. This view is similar to the absolute fatalism of Advaita Vedanta theology, which attracted Erwin Schrödinger in his later years. 

Determinists believe that, even though we experience ourselves making choices, there is never any doubt about the outcome. In this view, everything can be reduced to particles following rules. Obviously, if we have no choices and make no decisions, then there can be no such thing as "free will" or any other kind of will. An important corollary of this fact is that there can be no coherent morality or ethics. If no one chooses to do actions, then no one is responsible for those actions (Buddhists who deny the existence of agents also have this problem). Indeed, the idea that evil is blameworthy is entirely negated. Determinism is a form of nihilism. Nothing we do, say, or think makes any difference. Concepts like morality, fairness and justice no longer have any meaning. Nothing matters.

My sense is that while determinists make some powerful arguments, almost no one is willing to simply abandon the concept of morality. Which means that while some people (especially some physicists) argue for an uncompromising version of determinism, most intellectuals understand that morality needs to be retained and preserved. Indeed, the mainstream of academic philosophy has always promoted so-called compatibilism: a range of ideas that embrace determinism but argue that it (somehow) does not rule out free will.

Importantly, the idea of determinism is largely absent from our judicial systems. Notions of agency and responsibility appear to be indispensable to a society. This is a theme I plan to circle back to by way of a conclusion to this series of essays.

As an aside, note that male intellectuals like to call their favoured, often uncompromising, stance on any given topic the "hard" version, and any compromise the "soft" version. So, an uncompromising approach to determinism is often called "hard determinism", and compatibilist approaches are called "soft determinism". And one cannot help but think that, while Freud was wrong in most respects, he was not totally wrong. I try to avoid penis-based terminology in my writing.

In practice, there are dozens of different perspectives on determinism and even taxonomies that are supposed to help us grapple with the definitional promiscuity. If this problem is unfamiliar, I've posted a structured list at the end as an appendix. No doubt some will find the list inadequate, which only reinforces my point about the proliferation of definitions. However, I don't find any of these approaches interesting or meaningful. I don't think the idea of metaphysical determinism is coherent or cogent, at least as far as Laplacian determinism is concerned. There are numerous problems.


Mechanics of Various Kinds

Newtonian, Hamiltonian, and Lagrangian formulations of physics are deterministic as conceived, but also incomplete: they cannot account for events in systems with very large masses, very high relative velocities, and very high energies. Einstein's relativity theories are deterministic and can account for the exceptions. However, relativity is also incomplete, since it cannot be reconciled with our theory for very small masses and it clearly makes a wrong prediction for the Big Bang. We don't know of any classical—i.e., deterministic—theories that are complete. They all break down beyond certain limits. 

Moreover, we cannot even see the entire universe, and we have no idea what lies beyond the limits imposed on us by the speed of light. We can infer that parts of the universe exist from which light will never reach us. We have no way to infer the extent or nature of those parts of the universe. We can infer that physics is the same across the visible universe, but we simply don't know if this holds beyond the limits of our knowledge. Our "universe" could be a tiny bubble in a much larger structure. 

Incidentally, I don't find any multiverse theories cogent. This is simply what happens when you canonise mathematics and adopt the procedure of bending reality to fit your theory (a procedure that has more in common with medieval theology than with empirical science). Which brings us to so-called "quantum mechanics".

As far as I can see, quantum mechanics is not deterministic at all. While some people like to assert that it is, I showed why this is not the case in my previous essay: quantum mechanics can never tell us where a particle is. Precise location information is simply not a possible output of the Schrödinger equation. Indeed, to do a location-based calculation, we have to tell the Schrödinger equation where we expect the particle to be (often based on classical approximations). And all it does is tell us the probability of finding it there. This means that Laplace's demon has no starting information, so even if it knew the laws of physics, it couldn't apply them. 

That is to say, there are no deterministic rules in quantum mechanics that govern where a particle is now or where it will be 1 second from now. But it gets worse.

The uncertainty principle says that the precision with which we know where a particle will be (based on its momentum) is inversely proportional to the precision with which we know where it is now. This means that if we could know exactly where all the particles are at some time, we would necessarily know nothing about where they are going. Even a quantum Laplace demon could not know exactly where a particle is and simultaneously know exactly how it is moving.

Another problem is that quantum mechanics is not a scalable theory. The Schrödinger equation for hydrogen, while being a complex problem in three-dimensional calculus, is nonetheless solvable. The Schrödinger equation for helium is not solvable, even in principle. Rather, in order to use quantum mechanics in a three-body system, one has to impose a series of simplifying assumptions, not least of which is treating the nucleus as a classical object. Rather than admit the implications of this for determinism, physicists simply ignore the fact and proceed as if quantum mechanics is a complete description and fully deterministic.

It's widely known that physicists themselves are deeply divided over the ontology of quantum mechanics, see:

  • Gibney, Elizabeth. (2025) "Physicists disagree wildly on what quantum mechanics says about reality, Nature survey shows." Nature News 30 July 2025.

Again, this is not simply a failure to find a consensus on details. With the mathematics treated as canonical and inviolable, physicists are left to propose increasingly bizarre speculative accounts of how "reality" might be bent to fit the maths canonical. In philosophy, we call this a Procrustean bed

If you accept canonical quantum mechanics, then you must abandon determinism.


Structure Matters

I wrote three long essays exploring the idea that both structure and scale are important factors in any description of nature (NB: I was still using the term "reality" in a reified way a lot back then; I wouldn't phrase it that way now, but the basic intuitions about structure and scale are still relevant).

Here I owe a debt to Richard Jones, see

  • Jones, Richard H. (2013). Analysis & the Fullness of Reality: An Introduction to Reductionism & Emergence. Jackson Square Books.

Incidentally, Jones is also the most underrated Nāgārjuna scholar on the planet. He has published English translations of all Nāgārjuna's major works and a good chunk of Prajñāpāramitā. His commentary on Prajñāpāramitā was a major influence on me. But like me, Jones is an outsider. 

Structure refers to (relatively) static arrangements of stuff, be it particles, bricks, or people. A structural property is a property that an object obtains by virtue of the arrangement of its parts. A good example is the buoyancy of a ship made of steel. Steel is ~8x more dense than water. A 1000 kg lump of steel would have a volume of about 125 litres, about the same volume as a bathtub. In water, it would sink like a proverbial stone. However, if you take that 1000 kg lump of steel, flatten it to about 5mm thick, and shape it into a hollow cylinder that encompasses a volume greater than 8000 litres, then that steel structure will float on water.

I use "structure" as the general term, but I mean it to include systems. Structures are relatively static and stable, while systems are relatively dynamic and can be unstable. 

Reductionism focuses on parts, aiming to find something irreducible at the bottom of the well. Metaphysical reductionism says that "reality" resides only in the lowest level of structure that cannot be further reduced to parts; the corollary being that macroscopic objects are not real. Reductionist methods aim to first eliminate structure to expose the underlying parts.

The problem with this becomes apparent in biology. Simply atomising an organism tells us little about it. Even dissecting it only tells us so much. To understand a biological organism, we have to leave it whole and observe how it interacts with surrounding structures and systems (ecology), which themselves are inevitably only parts of much larger systems all the way up to the universe as an all-encompassing structure (cosmology).

Life cannot be understood via reductionism alone. The alternative goes by several names: holism, antireductionism, and emergentism.

It seems to be true that the universe is made of atoms, for example. And that atoms are made of electrons, protons, and neutrons. And that protons and neutrons also have some structure. But just as a pile of bricks is not a house, a universe of unstructured atoms is not what we observe. Atoms form molecules. Molecules form crystals, polymers, cells, and other kinds of structures. Cells form organs. And organs form bodies. And bodies form societies.

Structure exists. It persists over time. And it confers causal properties on complex objects. These properties are sometimes vaguely called "emergent", but "structural" is more accurate and precise, and less open to abuse. Importantly, while lower levels of structure place constraints on higher levels, they do not determine higher levels (I'll come back to this).

In order to understand the universe we actually inhabit, we do need to use reductionist theories and methods to understand the substantial foundations. But on its own, this is not enough. We also have to use holist theories and methods to understand the structures that the foundations support.


Scale Matters

As we move between different scales, our explanations of nature often break down. It was larger scales made visible via telescopes that exposed the incompleteness of Newtonian physics. Structure imparts structural properties to stuff. Microscopic effects are lost at larger scales, and macroscopic effects are greater than the sum of their parts.

For example, quantum mechanics simply ignores gravitation because the impact of it on the scale of electrons and protons is so small that ignoring it has no meaningful impact on precision or accuracy, and the simplification offers a huge advantage in computability. But if your theory ignores gravitation, it has no claim to being "deterministic" in the Laplacian sense.

Scale matters because, as I noted already, substantial properties constrain but don't determine structural properties. We cannot doubt, for example, that the properties of molecules are constrained by the properties of atoms. A molecule cannot have arbitrary properties. However, the properties of water (OH₂) are also strongly related to the asymmetrical arrangement of the three atoms. It is this structure that gives the water molecule its polarity, for example. Organic chemistry is even more fascinating since the possible arrangements of carbon, nitrogen, oxygen, and hydrogen atoms are almost endless.

As we scale up, we lose track of microscopic details. In chemistry, we talk in an idealised way about individual molecules, but, actually, 1 gram of water contains ~3 x 10²² water molecules. This number is unimaginably large, and individual molecules are unimaginably small. The only way to deal with such large numbers of molecules is with abstractions and statistics. Hence, statistical mechanics and thermodynamics.

For example, the temperature of a volume of gas is proportional to the mean kinetic energy (= ½mv²) of the molecules in that volume. The pressure the gas exerts on its container is proportional to the average speed with which molecules collide with it. And so on.

In any case, determinism is a relic of reductive, mechanistic thinking about the universe. Uncompromising determinism is a castle built on sand. Physics is far less complete than it would need to be to support determinism, and quantum physics is not deterministic at all (at least in the Laplacian sense). Moreover, the absolute fatalism of determinism seems to fly in the face of experience, requiring us to abandon the whole concept of morality, which almost no one outside of academic physics is willing to do.

If anything, the situation with free will is even worse.


Free Will

We cannot even agree on how to spell this concept that may or may not exist. Three spellings are in common use: "free will", "free-will", and "freewill". Research suggests that most people opt for two words these days and that the other options are out of fashion. But the concept is singular, and the phrase seems like an obvious compound to me (in Sanskrit we'd call it a karmadhāraya compound). Sigh. 

If you look at general histories of free will, you will see claims that discussions extend back to antiquity, but my sense is that this is not quite true. People in antiquity may have speculated about how we make choices, but the particular idea of free will seems to be somewhat later.

However, we are hampered in such deliberations by the absence of a consensus on what free will means. Again, I have supplied a structured list of major views in the appendix for easy reference.

Apart from ancient discussions, ideas about free will embrace a range of influences. Early modern philosophers such as Hobbes, Descartes, Spinoza, Locke, Hume, and Kant all wrote about free will. Many scientists, such as Laplace, Darwin, and Einstein has commented on the issue, most often as a consequence of their commitment to determinism. Freud also commented on the issue. It's one of those issues on which the great and good all have (different) opinions.

One of the most striking forms of evidence that physicists cite against free will is the experiments performed by Benjamin Libet in the 1980s. This suggests that we make decisions around half a second earlier than we become aware of having made a decision. I noted in an essay titled Free Will is Back on the Menu (11 March 2016) that few of Libet's colleagues accepted his interpretation at the time, and it has been thoroughly debunked since. What Libet measured was conscious anticipation, not unconscious decision-making. See, for example:

And yet, it is still common to see Libet cited in arguments about free will, especially by physicists. Notably, when Libet is cited in this context, no other neurophysiology authors are cited, and, notably, none of the neurophysiology literature that discussed Libet's work is ever cited. Which flies in the face of scholarly methods. The "literature review" remains an essential part of any research project.

Part of the problem with free will is the idea that there is one and only one decision-making faculty. And this faculty is all or nothing; it either makes all the decisions, or we don't make any decisions. Which is not even remotely consistent with my experience of making decisions. For a start, most decisions don't involve any conscious deliberation. And according to Hugo Mercier and Dan Sperber—authors of The Enigma of Reason—the reasons we give for such unconscious decisions are merely post-hoc rationalisations, fabulated on the fly. 

One of the main sources of argument about free will is Christian theologians responding to the problem of evil, starting in the fourth century CE. The problem is relatively simple. If Jehovah is both good and omnipotent, why is there evil in the world at all? If Jehovah cannot do anything about evil, then he is not worthy of worship; if he can but does not, then Jehovah is evil. The theologians decided to blame humans, or more precisely, to blame women via their mythical progenitor Eve. God gave Adam and Eve free will, and Eve used it to disobey Jehovah's stricture not to eat the fruit of the knowledge of good and evil, thereby bringing evil into the world. Obviously, the theology of free will requires applying some rather torturous logic to some rather implausible fairy tales.

And the result of all this attention from intellectuals across centuries, if not millennia, in at least a dozen different cultures? A vague, poorly defined, hotly disputed, abstract concept that may or may not exist.

It is already clear that if one adopts determinism, then one is forced to abandon morality. This result is so appalling that many philosophers and other intellectuals have tried to have their cake and eat it. They embrace determinism, but still claim that morality is meaningful. This kind of view is called compatibilism


Compatibilism

Here is Albert Einstein in 1929 (by which time he probably knew that quantum mechanics was not deterministic, even if few other people did):

I am a determinist. As such, I do not believe in free will... I believe with Schopenhauer: We can do what we wish, but we can only wish what we must. (from an interview published in the Saturday Evening Post. 26 Oct 1929, p.114)

However, Einstein immediately contradicts himself:

Practically, I am, nevertheless, compelled to act as if freedom of the will existed. If I wish to live in a civilized community, I must act as if man is a responsible being.

If no actions are the result of decisions, if "we can only wish what we must", then no one is responsible for their actions, and thus they are not culpable for transgressions. The very idea of transgression has to be deprecated. Einstein's position is incoherent. Which just goes to show that physicists, no matter how great they are, often make lousy philosophers.

Compatibilism is not a single unified idea, but generally speaking, compatibilists do what Einstein does. They begin by claiming to accept determinism. For example, they will agree that all events, including human actions, are fixed by prior states and laws. They try to get around the morality-denying fatalism of this statement by redefining morality or some other fudge. For example, one approach is to argue that an action becomes morally significant when it flows from the agent’s internal psychological structures—desires, reasoning, character—without external compulsion.

Unfortunately, under determinism, the notion of an "agent" is incoherent. There are no agents; there are just entities evolving according to laws. Agency implies choice, and choice is eliminated by determinism.

Compatibilism is also simply incoherent.


Deciding to go Up Hill

Every adult human has vast experience of making decisions. This is something we all do all day long. Banal choices like what to wear or eat, and morally significant choices like choosing to be honest or non-violent. Life choices like where to live, who to live with, or what job to do.

As with choosing which words to write in this essay, there are almost always many options for what to do next in any situation.

Anyone who denies that we are making decisions, as Einstein did, is bound to provide an alternative explanation of what is actually happening. If that alternative explanation is determinism, then agents, free will, and responsibility are automatically eliminated, and we lose morality entirely. So, rather than explaining human behaviour, determinism simply eliminates it from consideration.

We have the category "agent" precisely because agents are not like other objects. Water has no choice but to flow downhill: water is not an agent. A thrown rock follows a parabolic arc. Rocks are not agents. A planet orbits a sun in an elliptical orbit. Planets are not agents.

Agents are not passive in the face of physics. An agent can go up hill or around hills. Some agents can fly over the hill. Humans often simply remove inconvenient hills or tunnel under them. As a being that experiences having agency, I would say that, where agents are concerned, there is something more going on than merely following laws

Agents use energy to do actions that are allowed but not favoured by the laws of physics; actions that would never happen spontaneously in nature. Agents can remain in overly energetic states over long periods of time, consuming energy to remain so. 


The Choice of Illusions

Simply saying "choice is an illusion" is not an explanation. If we go down this road, then reductio ad absurdum, all experience is an illusion. In which case, we have not explained anything. An illusion ought not to be able to participate in causality. However, it's quite clear that my choices translate into actions and events that are causal.

For example, I start writing in the morning with a flask of pǔ'ěrchá 普洱茶 or Pu'er tea (普洱 is a toponym that cannot really be translated). From time to time, I take a sip. When my cup is empty, I refill it. When my flask is empty, I make another pot of cha. Each action has objective consequences in the sense that it results in a repeatable sequence of objective events that would not happen if I chose not to do them. This is how we objectively define causation. This causal sequence of events is not an illusion. My cup being empty is objectively not the same as my cup being full. My desire for more tea causes me to refill my cup. But it doesn't compel me to refill it, nor does it compel me to fill it with tea, let alone Pu'er tea. There's no inevitability in this situation. 

It's one thing to performatively state the belief that "experience is an illusion", but in practice, people who act like experience is an illusion typically have a psychiatric problem such as dissociative disorder, and they find it difficult or impossible to function socially.

It would be weird to believe that our decisions are not influenced by our cultural conditioning, the language we speak, our peers, and environmental exigencies. The idea of a perfectly free will—sometimes called contracausal free will—is clearly nonsensical. Like the fictional "rational faculty" that operates without any input from emotion or external influences, free will in this sense is a unicorn. And yet it is precisely contracausal free will that many people tacitly have in mind if they have not thought much about it.

Framing the issue in black and white terms—either free will exists or it doesn't—virtually guarantees failure to understand decision-making. And yet this is what most commentators seem to insist on, and certainly this framing of the issue is by far the most common one amongst the general public.

A better, more pragmatic approach would be to enquire into what factors influence our decisions. I've already mentioned some of the main influences.

As I write, for example, my word choices are governed by the rules of the English language, by my vocabulary, by the style I adopt, by my knowledge of the subject and its conventions, and so on. Language itself is constrained by human anatomy and physiology. There is no arbitrary or abstract "freedom"; it's not a standalone idea. There are degrees of freedom within an elaborate set of physical and social constraints. That's what we should be talking about. 


Conclusion

Growing up, my moral education often consisted of simplistic aphorisms. This may help explain why I'm still fond of aphorisms (see my collection on the about page). One of the most common aphorisms I heard as a kid was: "Two wrongs don't make a right." In determinism and free will, we have two wrongs. Added together, they do not make a right.

Determinism seems attractive because, superficially, it offers a level of objective certainty that religious fanatics can only dream of. However, beyond the surface, determinism unravels because none of our working theories of nature is truly deterministic or complete enough to support determinism. Moreover, the tendency to combine uncompromising determinism with uncompromising reductionism creates a false picture of the universe. Importantly, such views ignore the influence of either structure or scale.

Our principal microscopic theory of matter, quantum physics (in its various manifestations), doesn't even scale from a hydrogen atom to a helium atom, let alone to the macroscopic world. The calculations are simply too complex to ever be solved without making radical assumptions like treating the nucleus as a classical object. Which, incidentally, proves that nature is not performing calculations when a helium atom comes into existence. 

The addition of layers of structure is significant. Because structure makes a qualitative and quantitative contribution. Structure is objective and causal.

Certainly, the macroscopic world is constrained by features of the microscopic, but it is not determined by them. Molecules are more than the sum of their parts. And that "more" is not mystical, magical, or emergent: it is precisely the contribution of structure. This is why reductionism fails as a universal approach.

Compatibilism is not unlike bleeding heart liberalism, the proponents of which acknowledge the evil done by capitalism, and strive to meliorate or mitigate the damage it does through acts of charity, but who nonetheless wholeheartedly embrace capitalism. 

The real problem with determinism, and the reason that even ardent determinists like Einstein adopt compatibilist approaches, is that it denies all forms of morality. The most fundamental assumption of morality is that we make choices that are reflected in our behaviour, especially our behaviour towards others. Without this assumption, all of our ideas about morality, fairness, and justice go out the window.

Religious theories of morality are even worse, since they divorce moral sensibilities from human experience. In theistic religions, morality is perceived to be imposed by some external agent. The Abrahamic religions have a very dim view of humanity. Buddhism, quite frankly, sees most people, and all non-Buddhists, as moral idiots.

I follow the primate ethologist Frans de Waal in seeing morality as structural feature of living a social lifestyle, and as rooted in the capacities of empathy and reciprocity. For a more detailed account, see my series of essays on this.

And the source:
  • Waal, Frans de. (2013). The bonobo and the Atheist: In Search of Humanism Amongst the Primates. W.W. Norton & Co.

In this view, we are naturally moral, since we inherit the capacities for empathy and reciprocity. If we are immoral, this is probably the result of deliberately suppressing empathy or subverting reciprocity. It is detrimental to the group, and the group is essential to our survival and the passing on of our genes. Ergo, the group acts to curb and prevent actions that undermine the group, which helps to keep the group functioning harmoniously. The main job of the "alpha male" chimp is to interpose in conflicts on the side of the weaker party. And to ensure that any members of the group who are in conflict find a way back to harmony. Rather than being the strongest or most violent, the alpha male is generally the most trusted and respected male in the group. 

The social primate code is "United we stand, divided we fall. All for one, and one for all." 

Any philosophy of nature that denies the centrality of morality in our (social) lives is practically useless. As I said at the outset, I don't see anything worth rescuing from this mess. Neither determinism nor free will is even a good idea. Whereas morality is a great idea. If the choice is either determinism or morality, then I choose morality without any hesitation. 

~~Φ~~


Appendix

Approaches to Determinism

  • I. Determinism Proper (what is fixed?)
    • Global determinism — the complete state of the world plus laws fixes all future states
    • Local determinism — determinism holds in some domains but not others
    • Nomological determinism — determinism relative to the laws of nature
    • Causal determinism — every event has a sufficient prior cause
    • Logical determinism — truth-values about the future fix what will occur
    • Theological determinism — divine foreknowledge or decree fixes outcomes
  • II. Indeterminism (denial of fixation)
    • Ontological indeterminism — the world itself is not fully fixed
    • Causal indeterminism — causes do not necessitate effects
    • Event-level indeterminism — some events lack sufficient causes
    • System-level indeterminism — higher-level descriptions are indeterminate
  • III. Hybrid Views (mixed structure)
    • Soft determinism — deterministic structure with explanatory slack
    • Probabilistic causation — laws constrain outcomes statistically
    • Emergent indeterminism — indeterminacy arises at higher levels
    • Chaotic determinism — determinism with practical unpredictability
  • IV. Epistemic Positions (about knowledge, not reality)
    • Epistemic determinism — the world may be deterministic even if unknowable
    • Epistemic indeterminism — indeterminacy reflects limits of description
    • Predictive scepticism — determinism undecidable in practice
  • V. Deflationary / Quietist
    • Instrumentalism — determinism as a modelling choice
    • Pragmatic determinism — determinism adopted for explanatory utility
    • Semantic deflationism — disputes about determinism are verbal or framework-relative
  • VI. Metaphysical Rejections
    • Anti-realist determinism — no fact of the matter about determinism
    • Pluralist metaphysics — multiple incompatible but adequate descriptions

Approaches to Free Will

  • I. Denial
    • Eliminativism — no such thing as free will
  • II. Deflationary / Revisionary
    • Pragmatic / practice-based — “free will” fixed by its role in responsibility practices
    • Revisionism — weakened notion retained for moral or social purposes
  • III. Accounts of Agency (what kind of thing acts?)
    • Reductive event-causal agency — actions explained by mental events
    • Non-reductive agency — agency irreducible to subpersonal processes
    • Emergent agency — agency arises at the personal level
    • Agent-causal agency — agents as primitive causes
  • IV. Accounts of Control (what makes action mine?)
    • Reasons-responsive control — sensitivity to reasons
    • Guidance control — ownership of the mechanism producing action
    • Hierarchical control — higher-order endorsement
    • Identification/ownership — identification with motives
  • V. Accounts of Sourcehood (where does action ultimately come from?)
    • Historical sourcehood — dependence on past self-shaping
    • Structural sourcehood — present-time ownership of springs of action
    • Ultimacy-based sourcehood — agent as ultimate origin
  • VI. Phenomenological / Narrative
    • Phenomenological agency — lived experience of choosing
    • Narrative identity — agency embedded in a self-narrative

16 January 2026

How can a particle be in two places at once? (Superposition, Again)

Image of atom

A common question for lay people confronted with counterintuitive popular narrative accounts of quantum physics is:
 
How can a particle be in two places at once?

The idea that a particle can be in two places at once is a common enough interpretation of the idea of quantum superposition, but this is not the only possible interpretation. Some physicists suggest that superposition means that we simply don't know the position, and some say that it means that the "position" is in fact smeared out into a kind of "cloud" (not an objective cloud). However, being in two places at once is an interpretation that lay people routinely encounter, and it has become firmly established in the popular imagination.

Note that while the idea is profoundly counterintuitive, physicists often scoff at intuition. Richard Feynman once said, "The universe is under no obligation to make sense to you." I suppose this is true enough, but it lets scientists off the hook to easily. The universe might be obligation-free, but science is not. I would argue precisely that science is obligated to make sense. For the first 350 years or so, science was all about making sense of empirical data. This approach was consciously rejected by people like Werner Heisenberg, Max Born, and Niels Bohr before arriving at their anti-realist conclusions.

But here's the thing. Atoms are unambiguously and unequivocally objective (their existence and properties are independent of the observer). We even have images of individual atoms now (above right). Electrons, protons, neutrons, and neutrinos are all objective entities. They exist, they persist, they take part in causal relations, and we can measure their physical properties such as mass, spin, and charge. The spectral absorption/emission lines associated with each atom are also objective.

It was the existence of emission lines, along with the photoelectric effect, that led Planck and Einstein to propose the first quantum theory of the atom. And if these lines are objective, then we expect them to have an objective cause. And since they obviously form a harmonic series we ought to associate the lines with objective standing waves. The mathematics used to describe and predict the lines does describe a standing wave, but for reasons that are still not clear to me, physicists deny that an objective standing wave is involved. The standing wave is merely a mathematical calculation tool. Quantum mechanics is an antirealist scientific theory, which is an oxymoron. 

However, we may say that if an entity like the atom in the image above has mass, then that mass has to be somewhere at all times It may be relatively concentrated or distributed with respect to the centre of mass, but it is always somewhere. Mass is not abstract. Mass is physical and objective. Mass can definitely not be in two places at once. Similarly, electrical charge is a fundamental physical property. It also has to be somewhere. If we deny these objective facts then all of physics goes down the toilet. 

Moreover, if that entity with mass and charge is not at absolute zero, then it has kinetic energy: it is moving. If it is moving, that movement has a speed and a direction (i.e. velocity). At the nanoscale, there is built-in uncertainty regarding knowing both position and velocity at the same time, but we can, for example, know precisely where an electron is when it hits a detector (at the cost of not knowing its speed and direction at that moment).

Quantum theory treats such objective physical entities as abstractions. Bohr convinced his colleagues that we cannot have a realist theory of the subatomic. It's not something anyone can describe because it's beyond our ability to sense. This was long before images of atoms were available. 

The story of how we came to have an anti-realist theory of these objective entities and their objective behaviour would take me too far from my purpose in this essay, but it's something to contemplate. Mara Beller's book Quantum Dialogue goes into this issue in detail. Specifically, she points to the covert influence of logical positivism on the entire Copenhagen group.

The proposition that a particle can be in two places at once is not only wildly counterintuitive, but it breaks one of Aristotle's principles of reasoning: the principle of noncontradiction. Which leaves logic in tatters and reduces knowledge to trivia. Lay people can only be confused by this, but I think that, secretly, many physicists are also confused.

To be clear:

  • No particle has ever been observed to be in different locations at the same time. When we observe particles, they are always in one place and (for example, in a cloud chamber) appear to follow a trajectory. Neither the location nor the trajectory is described by quantum physics.
  • No particle has ever been predicted to be in different locations at the same time. The Schrödinger equation simply cannot give us information about where a particle is.

So the question is, why do scientists like to say that quantum physics means that a particle can be in two places, or in two "states"*, at one time? To answer this, we need to look at the procedures that are employed in quantum mechanics and note a rather strange conclusion.

* One has to be cautious of the word "state" in this context, since it refers only to the mathematical description, not to the physical state of a system. And the distinction is seldom, if ever, noted in popular accounts.

What follows will involve some high school-level maths and physics.


The Schrödinger Equation

Heisenberg and Schrödinger developed their mathematical models to try to explain why the photons emitted by atoms have a specific quantum of energy (the spectral emission lines) rather than an arbitrary energy. Heisenberg used matrices and Schrödinger used differential equations, but the two approaches amount to the same thing. Even when discussing Schrödinger's differential equation, physicists still use matrix jargon like "eigenfunctions" indiscriminately.

The Schrödinger equation can take many forms, which does not help the layperson. However, the exact form doesn't matter for my purposes. What does matter is that they all include a Greek letter psi 𝜓. Here, 𝜓 is not a variable of the type we encounter in classical physics; it is a mathematical function. Physicists call 𝜓 the wavefunction. Let's dig into what this means.


Functions

A function, often denoted by f, is a mathematical rule. In high school mathematics, we all learn about simple algebraic functions of the type:

f(x) = x + 1

This rule says: whatever the current value of x is, take that value and add 1 to it.

So if x = 1 and we apply the rule, then f(x) = 2. If x = 2.5, then f(x) = 3.5. And so on.

A function can involve any valid mathematical operation or combinations of them. And there is no theoretical limit on how complex a function can be. I've seen functions that take up whole pages of books.

We often meet this formalism in the context of a Cartesian graph. For example, if the height of a line on a graph is proportional to its length along the x-axis, then we can express this mathematically by saying that y is a function of x. In maths notation.

y = f(x); where f (x) = x + 1.

Or simply: y = x + 1.

This particular function describes a line at +45° that crosses the y-axis at y = 1. Note also that if the height (y) and length (x) are treated as the two orthogonal sides of a right-triangle, then we can begin to use trigonometry to describe how they change in relation to each other. Additionally, we can treat (x,y) as a matrix or as the description of a vector.

In physics, we would physically interpret an expression like y = x + 1 as showing how the value of y is proportional to the value of x. We also use calculus to show how one variable changes over time with respect to another, but I needn't to go into this.


Wavefunctions and Hilbert Spaces

The wavefunction 𝜓 is a mathematical rule (where 𝜓 is the Greek letter psi, pronounced like "sigh"). If we specify it in terms of location on the x-axis, 𝜓(x) gives us one complex number (ai + b; where i = √-1) for every possible value of x. And unless otherwise specified, x can be any real number, which we write as x ∈ ℝ (which we read as "x is a member of the set of real numbers"). In practice, we usually specify a limited range of values for x.

All the values of 𝜓(x), taken together, can be considered to define a vector in an abstract notional "space" we call a Hilbert space, after the mathematician David Hilbert. The quantum Hilbert space has as many dimensions as there are values of x, and since x ∈ ℝ, this means it has infinitely many dimensions. While this seems insane at first glance, since a "space" with infinitely many dimensions would be totally unwieldy, in fact, it allows physicists to treat 𝜓(x) as a single mathematical object and do maths with it. It is this property that allows us to talk about operations like adding two wavefunctions (which becomes important below).

We have to be careful here. In quantum mechanics, 𝜓 does not describe a objective, physical wave in space. Hilbert space is not an objective space. This is all just abstract mathematics. Moreover, there isn’t an a priori universal Hilbert space containing every possible 𝜓. Every system produces a distinct abstract space. 

That said, Sean Carroll and other proponents of the so-called "Many Worlds" interpretation first take the step of defining the system of interest as "the entire universe" and notionally assign this system a wavefunction 𝜓universe. However, there is no way to write down an actual mathematical function for such an entity since it would have infinitely many variables. Even if we could write it down, there is no way to compute any results from such a function: it has no practical value. In gaining a realist ontology, we lose all ability to get information without introducing massive simplifications. Formally, you can define a universal 𝜓. But in practice, to get predictions, you always reduce to a local system, which is nothing other than ordinary quantum mechanics without the Many Worlds metaphysical overlay. So in practice, Many Worlds offers no advantage over "shut up and calculate". And since the Many Worlds ontology is extremely bizarre, I fail to see the attraction.

It is axiomatic for the standard textbook approach to quantum mechanics—deriving from the so-called "Copenhagen interpretation"—that there is no objective interpretation of 𝜓. Neutrally, we may say that the maths needn't correspond to anything in the world, it just happens to give the right answers. The maths itself is agnostic; it doesn't require any physical interpretation. Bohr and co positivistically insisted that it's not possible to have a physical interpretation because we cannot know the world on that scale.

As readers likely know, the physics community is deeply divided over (a) the possibility of realist interpretations, i.e. the issue of 𝜓-ontology and (b) which, if any, realist interpretation of 𝜓 is the right one. There is a vast amount of confusion and disagreement amongst physicists themselves over what the maths represents, which does not help the layperson at all. But again, we can skip over this and stay focussed on the goal.


The Schrödinger equation in Practice

To make use of the Schrödinger equation, a physicist must carefully consider what kind of system they are interested in and define 𝜓 so that it describes that system. Obviously, this selection is crucial for getting accurate results. And this is a point we have to come back to.

When we set out to model an electron in a hydrogen atom, for example, we have to choose an expression for 𝜓 whose outputs correspond to the abstract mathematical "state" of that electron. There's no point in choosing some other expression, because it won't give accurate results. Ideally, there is one and only one expression that perfectly describes the system, but in practice, there may be many others that approximate it.

For the sake of this essay, I will discuss the case in which 𝜓 is a function of location. In one dimension, we can state this as: 𝜓(x). When working in three spatial and one time dimensions, for technical reasons, we use spherical spatial coordinates, which are two angles and a length, as well as time: 𝜓(φ,θ,x,t). The three-dimensional maths is challenging, and physicists are not generally required to be able prove the theorem. They only need to know how to apply the end results.

Schrödinger himself began by describing an electron trapped in a one-dimensional box, as perhaps the simplest example of a quantum system (this is an example of a spherical cow approximation). This is very often the first actual calculation that students of quantum mechanics perform. How do we choose the correct expression for this system? In practice, this (somewhat ironically) can involve using approximations derived from classical physics, as well as some trial and error.

We know the the electron is a wave and so we expect it to oscillate with something like harmonic motion. In simple harmonic motion, the height of the wave on the y-axis changes as the sine of the position of the particle on the x-axis.

One of the simplest equations that satisfies our requirements, therefore, would be 𝜓(x) = sin x, though we must specify lower and upper limits for x reflecting the scale of the box.

However, it is not enough to specify the wavefunction and solve it as we might do in wave mechanics. Rather, we first need to do another procedure. We apply an operator to the wavefunction.

Just as a function is a rule applied to a number to produce another number, an operator is a rule applied to a function that produces another function. In this method, we identify operators by giving them a "hat".

So, if p is momentum (for historical reasons), then the operator that we apply to the wavefunction so that it gives us information about momentum is p̂. And we can express this application as 𝜓. For my purposes, further details on operators (including Dirac notation) don't matter. However, we may say that this is a powerful mathematical approach that allows us to extract information about any measurable property for which an operator can be defined, from just one underlying function. It's actually pretty cool.

There is one more step, which is applying the Born rule. Again, for the purposes of this essay, we don't need to say more about this, except that when we solve p̂ψ, the result is a vector (a quantity + a direction). The length of this vector is proportional to the probability that, when we make a measurement at x, we will find momentum p. And applying the Born rule gives us the actual probability.

So the procedure for using the Schrödinger equation has several steps. Using the example of 𝜓(x), and finding the momentum p at some location x, we get something like this:

  • Identify an appropriate mathematical expression for the wavefunction 𝜓(x).
  • Apply the momentum operator 𝜓(x).
  • Solve the resulting function (which gives us a vector).
  • Apply the Born Rule to obtain a probability.

So far so good (I hope).

To address the question—How can a particle be in two places at once?—we need to go back to step one.


Superposition is Neither Super nor Related to Position.

It is de rigueur to portray superposition as a description of a physical situation, but this is not what was intended. For example, Dirac's famous quantum mechanics textbook presents superposition as an a priori requirement of the theory, not a consequence of it. Any wavefunction 𝜓 must, by definition, be capable of being written as a combination of two or more other wavefunctions: 𝜓 = 𝜓₁ + 𝜓₂. Dirac simply stated this as an axiom. He offers no proof, no evidence, no argument, and no rationale.

We might do this with a problem where using one 𝜓 results in overly complicated maths. For example it's common to treat the double-slit experiment as two distinct systems involving slit 1 and slit 2. For example, we might say that 𝜓₁ describes a particle going only through slit 1, and 𝜓₂ describes a particle going through slit 2. The standard defence in this context looks like this:

  • The interference pattern is real.
  • The calculation that predicts it more or less requires 𝜓 = 𝜓₁ + 𝜓₂.
  • Therefore, the physical state of the system before measurement must somehow correspond to 𝜓₁ + 𝜓₂.

But the last step is exactly the kind of logic that quantum mechanics itself has forbidden. We cannot say what the state of the system is prior to measuring it. Ergo, we cannot say where the particle is before we measure it and we definitely cannot say its in two places at once.

To be clear, 𝜓 = 𝜓₁ + 𝜓₂ is a purely mathematical exercise that has no physical objective counterpart. According to the formalism, 𝜓 is not an objective wave. So how can 𝜓₁ + 𝜓₂ have any objective meaning? It cannot. Anything said about a particle "being in multiple states at once", or "taking both/many paths", or "being in two places at once" is all just interpretive speculation. We don't know. And the historically dominant paradigm tells us that we cannot know and we should not even ask.

To be clear, the Schrödinger does not and cannot tell us what happens during the double slit experiment. It can only tell us the probable outcome. The fact that the objective effect appears to be caused by interference and the mathematical formalism involves 𝜓₁ + 𝜓₂ is entirely coincidental (according to the dominant paradigm).

Dirac has fully embraced the idea that quantum mechanics is purely about calculating probabilities and that it is not any kind of physical description. A physical description of matter on the sub-atomic scale is not possible in this view. And his goal does not involve providing any such thing. His goal is only to perfect and canonise the mathematics which Heisenberg and Born had presented as a fait accompli in 1927:

“We regard quantum mechanics as a complete theory for which the fundamental physical and mathematical hypotheses are no longer susceptible of modification.”—Report delivered at the 1927 Solvay Conference.

I noted above that we have to specify some expression for 𝜓 that makes sense for the system of interest. If the expression is for some kind of harmonic motion, then we must specify things like the amplitude, frequency, direction of travel, and phase. Our choices here are not, and cannot be, derived from first principles. Rather, they must be arbitrarily specified by the physicist.

Now, there are an almost infinite number of expressions of the type 𝜓(x) = sin (x). We can specify amplitude, etc., to any arbitrary level of detail.

  • The function 𝜓(x) = 2 sin (x) will have twice the amplitude.
  • The function 𝜓(x) = sin (2x) will have twice the frequency.
  • The function 𝜓(x) = sin (-x) will travel in the opposite direction.

And so on.

A physicist may use general knowledge and a variety of rules of thumb to decide which exact function suits their purposes. As noted, this may involve using approximations derived from classical physics. We need to be clear that nothing in the quantum mechanical formalism can tell us where a particle is at a given time or when it will arrive at a given location. Whoever is doing the calculation has to supply this information.

Obviously, there are very many expressions that could be used. But in the final analysis, we need to decide which expression is ideal, or most nearly so. 

For a function like 𝜓(x) = sin (x), for example, we can add some variables: 𝜓(x) = A sin (kx). Where A can be understood as a scaling factor for amplitude, and k as a scaling factor for frequency. Both A and k can be any real number (A ∈ ℝ and k ∈ ℝ).

Even this very simple example clearly has an infinite number of possible variations since ℝ is an infinite set. There are infinitely many possible functions 𝜓₁, 𝜓₂, 𝜓₃, ... 𝜓. Moreover, because of the nature of the mathematics involved, if 𝜓₁ and 𝜓₂ are both valid functions, then 𝜓₁ + 𝜓₂ is also a valid function. It was this property of linear differential equations that Dirac sought to canonise as superposition.

To my mind, there is an epistemic problem in that we have to identify the ideal expression from amongst the infinite possibilities. And having chosen one expression, we then perform a calculation, and it outputs probabilities for measurable quantities.

The 𝜓-ontologists try to turn this into a metaphysical problem. Sean Carroll likes to say "the wavefunction is real". 𝜓-ontologists then make the move that causes all the problems, i.e. they speculatively assert that the system is in all of these states until we specify (or measure) one. And thus "superposition" goes from being a mathematical abstraction to being an objective phenomena, and its only one more step to saying things like "a particle can be in two places at once". 

I hope I've shown that such statements are incoherent at face value. But I hope I've also made clear that such claims are incoherent in terms of quantum theory itself, since the Schrödinger equation can never under any circumstances tell us where a particle is, only the probability of finding it in some volume of space that we have to specify in advance. 


Conclusion

The idea that a particle can be in two places at once is clearly nonsense even by the criteria of the quantum mechanics formalism itself. The whole point of denying the relevance of realism was to avoid making definite statements about what is physically happening on a scale that we can neither see nor imagine (according to the logical positivists).

So coming up with a definite, objective interpretation—like particles that are in two places at once—flies in the face of the whole enterprise of quantum mechanics. The fact that the conclusion is bizarre is incidental since it is incoherent to begin with.

The problem is that while particles are objective; our theory is entirely abstract. Particles have mass. Mass is not an abstraction; mass has to be somewhere. So we need an objective theory to describe this. Quantum mechanics is simply not that theory. And nor is quantum field theory. 

I'm told that mathematically, Dirac's canonisation of superposition was a necessary move. And to be fair, the calculations do work as advertised. One can accurately and precisely calculate probabilities with this method. But no one has any idea what this means in physical terms, no one knows why it works or what causes the phenomena it is supposed to describe. When Richard Feynman said "No one understands quantum mechanics", this is what he mean. And nothing has changed since he said it.

It would help if scientists themselves could stop saying stupid things like "particles can be in two places at once". No, particles cannot be in two places at once, and nothing about quantum mechanics makes this true. There is simply no way for quantum mathematics, as we currently understand it, to tell us anything at all about where a particle is. The location of interest is something that the physicist doing the calculation has to supply for the Schrödinger equation, not something the equation can tell us (unlike in classical mechanics).

And if the equation cannot tell us the location of the particle, under any circumstances, then it certainly cannot tell us that it is in two places or many places. Simple logic alone tells us this much.

The Schrödinger equation can only provide us with probabilities. While there are a number of possible mathematical "states" the particle can be in, we do not know which one it is in until we measure it.

If we take Dirac and co at face value, then stating any pre-measurement physical fact is simply a contradiction in terms. Pretending that this is not problematic is itself a major problem. Had we been making steady progress towards some kind of resolution, it might be less ridiculous. But the fact is that a century has passed since quantum mechanics was proposed and physicists still have no idea how or why it works but still accept that "the fundamental physical and mathematical hypotheses are no longer susceptible of modification."

Feynman might have been right when he said that the universe is not obligated to make sense. But the fact is that, science is obligated to make sense. That used to be the whole point of science, and still is in every other branch of science other than quantum mechanics. No one says of evolutionary theory, for example, that it is all a mysterious blackbox that we cannot possibly understand. And no one would accept this as an answer. Indeed, a famous cartoon by Sydney Harris gently mocks this attitude...


The many metaphysical speculations that are termed "interpretations of quantum mechanics" all take the mathematical formalism that explicitly divorces quantum mechanics from realism as canonical and inviolable. And then they all fail miserably to say anything at all about reality. And this is where we are.

It is disappointing, to say the least.

~~Φ~~

02 January 2026

Philosophical Detritus IV: Truth

"I swear by Almighty God to tell the truth,
the whole truth, and nothing but the truth."

—Traditional British courtroom oath

In this series of essays, fuelled by questions on the Quora website, I have been questioning the value of the legacy of certain abstract concepts in philosophy. I've argued for an epistemic-nominalist approach to abstraction, i.e. abstractions are ideas about things; they are not things in their own right. And I've tried to show that this means we have to reconsider the value of traditional metaphysics generally. No one has privileged access to reality; i.e. there is no epistemic privilege. And in view of this, I have explored how a pragmatic approach can at least net us a useful concept.

So far, I have applied this to the major concepts of "consciousness" and "reality". I have tried to show that commonly used definitions, including "common sense" definitions, are hopelessly confused and unhelpful. This is fueled by the long-standing, active, and growing dissensus on these abstract concepts, amongst professional philosophers. Philosophers not only lack agreement, but on these topics, they actively and vociferously disagree and are constantly coming up with new ways to disagree. Not only is the goal of a universal definition difficult, but the methods adopted virtually guarantee failure. Hence, we often fail to agree on important matters even after thousands of years of argument.

In this essay, I will tackle another legacy metaphysical concept from philosophy: "truth". Yet again, there is a profound and ongoing dissensus about what "truth" means and what value it holds. It seems obvious to us to ask, "What is true?" and "What is the truth?" But it is surprisingly difficult to answer such questions in a satisfying way. Beware, we are in deep, shark-infested waters here. There is a serious risk of drowning or being eaten alive. Let's dive in!


Truth

"True" is used in several senses, but the underlying sense of the word is "firm, reliable, certain, trustworthy." We are particularly concerned with the idea applied to statements and propositions; i.e. with telling the truth, or veracity.

When trying to define "true" and "truth", we immediately run into the problem of epistemic privilege. No one is in a position to state the truth with absolute certainty, because no one can possibly know what it is. And, if we don't know what truth is, then we don't know if any given statement is true or not. And yet we constantly make confident pronouncements on the truth of statements. I went most of my life not realising how utterly weird this situation is. Now I cannot unsee it. But I do think I can unfuck it, to some extent.

There are numerous competing definitions of "truth" that do not converge (this is always a bad sign). For example, we might invoke:

  1. Correspondence Theory: Truth is a statement's accurate representation of objective reality.
  2. Coherence Theory: Truth is the logical consistency of a statement within a larger system of beliefs.
  3. Pragmatist Theory: Truth is what is useful, reliable, or works successfully in practice.
  4. Consensus Theory: Truth is what is agreed upon by a specified group, often through ideal discourse.
  5. Deflationary Theory: "Truth" is a redundant or logical concept that adds no substantial meaning beyond disquotation (e.g., " 'Snow is white' is true" just means snow is white).
  6. Performative Theory: To call a statement true is to perform an act of endorsement or agreement.
  7. Semantic Theory (Tarski): Truth is formally defined for a language by satisfying conditions like " 'Snow is white' is true if and only if snow is white."
  8. Epistemic Theories: Truth is what is knowable or justifiable under ideal epistemic conditions.
  9. Pluralist Theories: Different domains of discourse may require different truth properties (e.g., moral vs. factual truth).

All of these approaches have pros and cons. However, note that all the metaphysical definitions have the problem of epistemic privilege. For example, how can anything be said to represent "objective reality" when no one can possibly know what objective reality is? (If this is unclear, refer back to my essay on reality.) Defining "truth" in terms of "belief" fails because belief is a feeling about an idea, and belief can be false. And yet throwing out the concept of truth entirely seems too drastic.

I think we need to go back to basics. "Truth" is not just an abstract metaphysical concept; it's also a moral concept. Thus, we need to start by thinking about what morality is and why it has a claim on us. However, philosophy's problems also plague this topic. If anything, even after thousands of years of intellectual effort, there is an even greater dissensus around the concept of morality.

I believe we can do better than the present flailing around. To my mind, the place to start is (the late, great) Frans de Waal's work on morality in animals. Especially, his book:

  • de Waal, Frans. (2013). The bonobo and the Atheist: In Search of Humanism Amongst the Primates. W.W. Norton & Co.
De Waal's 2011 TED talk Moral Behavior in Animals is an excellent introduction to the main themes in the book and useful for the short videos of the relevant experiments. No one watching this can come away thinking that capuchin monkeys do not understand fairness, for example.

I've written at length about morality, in the light of reading de Waal:

We begin with a simple fact that I highlighted in my 20th anniversary essay: humans evolved an obligatory social lifestyle. We evolved to live in communities, and rare outliers notwithstanding, humans are obliged by our nature to live in communities. And we are not alone in this. Chimps, bonobos, gorillas, and many other mammals are obliged to live in social groups.

A social lifestyle offers numerous evolutionary advantages. We are stronger as a collective than we are as individuals. Indeed, large-scale cooperation is our evolutionary superpower. I'm aware that I assert this in a general climate of ideological individualism and a hegemonic political ideology that despises collectivism and asserts slogans such as "there is no such thing as society". Nonetheless, Humans are social creatures who live in communities and form societies that have cultures.

In brief, de Waal identified two essential capacities shared by all social mammals (and some social birds, but I'll focus on mammals to keep it simple) that do a lot of work in explaining the evolutionary origins of morality: i.e. empathy and reciprocity. These capacities are minimally required for the social lifestyle of mammals. Note that social insects are a totally different story.

Empathy allows us to intuitively know how other individuals are feeling from interpreting (and internally modelling) cues such as posture, facial expressions, tone of voice, direction of gaze, and so on. This allows us to accurately judge the emotional impact of our actions on others. And their actions on each other. And this is the basis of moral rules about how we treat others. We don't need an external standard or judge to tell us that our actions resulted in happiness or hurt feelings. We simply know from observation. While the psychopath may not care, they still know.

Reciprocity involves responding in kind. If someone shares with us, we share with them. If someone is kind to us, we respond with kindness. Social animals keep track of what kind of relations they have with others, but also the relations of the rest of the group has with each other. It's vitally important—in evolutionary terms—to know how our community is functioning, what conflicts and alliances exist, and our place in all this.

Incidentally, this means that our sense of identity is not, and cannot be, only based on an autobiographical narrative (a story we tell ourselves about ourselves). Being obligatorily social, we also require a socio-biographical narrative (a story about our community and our place in it). While I arrived at this insight through reflecting on de Waal, ChatGPT tells me that it is similar to ideas found in Canadian philosopher Charles Taylor's Sources of the Self: The Making of the Modern Identity (1989).

Empathy and reciprocity lead humans to live in networks of responsive mutual obligations. And this leads to a deontological view of morality as being based on mutual obligation. This does not preclude anyone from talking in terms of virtue ethics or consequentialism or whatever. Indeed, taking these other perspectives can be advantageous. Rather, it means that we define "virtue" deontologically: A virtuous person is one who meets or exceeds their obligations to the community. Notably, the most virtuous people are seen to help others. Similarly, we judge the consequences of a person's actions in terms of whether or not they support or undermine their obligations.

Since none of us is perfect, it makes sense to have some way to deal with breakdowns in this system.* De Waal notes, for example, that the leading male chimp is constantly called on to mediate between other male chimps. If there is a fight, he always intervenes on the side of the weaker male. He goes out of his way to console the loser of a fight and makes sure that the two get back into harmony.

* There's a potential digression into rules and rule-following here that I will pass up for now, but see also the last of my series of essays on Searle's "social reality": Norms without Conscious Rule Following. (Here, again, there is an unexplored similarity to Taylor's philosophy).

From reciprocity, we get the idea of fairness. Fairness is everyone fulfilling their obligations. Unfairness is a failure of reciprocation. And justice involves restoring fairness.

Of course, how these basic elements are elaborated into systems of morality is wide open and dependent on many factors, including the local environment. Moral rules also get mixed with etiquette to make for complex mores, even without elaborate technology.

This brief outline is probably enough to be getting on with. But check the earlier, more extensive essays if things are unclear.


Truth is Both a Metaphysical Concept and a Moral Concept.

We now have two ideas to try to integrate:

  1. My critique of metaphysical concepts applies: truth is a metaphysical concept, and no one has epistemic privilege. "The truth" as a metaphysical absolute is unknowable. And yet most people still see value in truth as a moral concept.
  2. My view of morality as essentially deontological (deriving from mutual obligation).

The first idea means that, if I am ever called to give testimony in court, it will be interesting because I cannot make the traditional oaths (including the modern secular varieties). The lack of epistemic privilege means that I cannot promise to "tell the truth, the whole truth, and nothing but the truth." This would imply that I know "the truth" and that I'm capable of communicating it. While I might have a belief about the truth, no matter how sincere I might be in holding this belief, I can always be wrong. In which case, my belief is not the truth. And after all, belief is a feeling about an idea (and an involuntary feeling at that). Which raises the question: If belief is not a reliable guide to truth, why do we privilege it?

Rather ironically, given their role in justice and history, eyewitnesses are notoriously unreliable. It is common for several people to witness an event and for them all to tell different stories about what happened. What the court really wants is not that witnesses "tell the truth", since this is an unreasonable expectation of anyone who lacks epistemic privilege. The court wants to ensure that we do not set out to deceive the court. That is to say, the court wants us to be honest. And this lesser goal turns out to be a more straightforward proposition.

One day, it might be interesting to look at how we managed to put so much emphasis on knowing the unknowable, but I want to stay on the track of extracting something workable from the existing mess.

A functioning community requires that we trust the other members of the community to fulfil their obligations. If we are standing shoulder to shoulder, driving off a leopard, for example, it only works if enough of us stand our ground. A leopard will easily kill a lone human or chimp. But a group of us is much more intimidating. Five chimps, or humans with sticks, can easily drive a leopard off if they work together. Trust requires that we not deliberately try to deceive others.

No matter how honest I am, my view could be incorrect, inaccurate, or imprecise, and I might not know it. All I can promise is that I'm not deliberately trying to deceive you. And, morally, that is all you can ask of me. So if I appear in court, the only oath I could take would be to promise to be honest. It's up to the jury to decide if what I say is salient to assigning blame for a transgression.

I think this generalises. My moral obligation is not to "tell the truth", but to refrain from deliberate deception. Or, more positively, my obligation is for honesty rather the truthfulness. This makes allowance for my "knowledge" to be imperfect or even incorrect, it allows for the vagaries of memory, it allows for unexamined bias, and so on. Being honest does not guarantee accuracy or precision.

Something we need to be wary of is the relativisation of truth, which I see as a function of ideological individualism. We see this in the idea of a "personal truth". This is something that one person believes and asserts to be true. But when contradicted, they simply assert, "that's your truth", and "my truth" is unaffected by your truth.

While the standard metaphysical definitions fail to be meaningful or useful, the idea of a "personal truth" is catastrophic. Equating opinion with truth only creates confusion and uncertainty. At least those people who try to define truth by some external standard have the goal of reducing uncertainty.

Note that, in the ideal, science is not concerned with "truth" as many lay-people imagine. Rather, scientists examine phenomena and compare notes to produce heuristics that make predictions to some arbitrary level of accuracy and precision. It's not that Newton's laws of motion are untrue and that Einstein's are. Rather the situation is that, under such conditions as we encounter here on Earth, Newton's laws are sufficiently accurate and precise for our purposes. We can predict the future with confidence. But when we start to look on larger scales of mass, length, and energy the accuracy and precision of Newton's laws declines. And we find that Einstein's laws of motion provide better accuracy and precision.

Scientists make and test inferences about phenomena by close observation and comparing notes. While such inferences are incredibly, almost miraculously reliable, we still cannot claim that they are true in any deeper sense.


Conclusion

Thousands of years of documented arguments about "truth"—from a variety of cultures—have left a legacy of dissensus and confusion. Something that seems so straightforward as "telling the truth" turns out to be impossibly complicated. Not only do we not know the truth about anything, but we cannot even agree on how we would know it if we came across it.

Questions such as "What is true?" or "What is the truth?" can never be answered in a way that will satisfy everyone.

"Truth" is another legacy of philosophy that does more harm than good. Since metaphysical knowledge requires epistemic privilege that no one can possibly have, telling "the truth, the whole truth, and nothing but the truth" is an unattainable goal.

Morality does not arise out of metaphysics or commandments from some supernatural being. It emerges pragmatically from evolving to live in social groups that require cohesion to function. Evolution equipped us to live in societies bound by mutual obligations. And the moral obligation that emerges from this is not to "tell the truth", but to be honest. That is to say, we do not deliberately set out to deceive.

The problem of the zeitgeist is less that we live in a "post-truth era" and more that we live in an era characterised by dishonesty.

Pragmatically, honesty is attainable because it only requires that we not set out to deceive. This allows that our beliefs about what is true can be sincere but mistaken.

Honesty is a virtue because it promotes the trust and cooperation necessary for a group to fulfil its evolutionary function. The consequence of dishonesty is a breakdown of trust and cohesion.

However, all of the above notwithstanding, the idea of truth and the many discourses centred on it are deeply ingrained and unlikely to change. So expect confusion to reign.

~~Φ~~

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