Body Mentalism

Body Mentalism

We are all too familiar with attempts to describe the mind in terms of the body, the better to integrate the two. Behaviorism and materialism spring to mind (in both senses). These attempts are seldom if ever convincing, at first glance or after many glances. They seem to put the mind where it is not. But we never hear about the converse procedure: describing the body in terms of the mind. Is it possible, and what would it show? We might think of this as reductive mentalism—reducing the physical (bodily) to the mental. What would it look like? A behaviorist view of the mind would say that seeing is what eyes do; a mentalist view of the eyes would say they are the organs of seeing. The bodily behavior corresponding to seeing is eye-centered; the mental process corresponding to using the eyes is seeing. Definitionally, seeing is eye behavior, or eyes are the organs of seeing. In these definitions we ignore the intrinsic properties of the defined thing in favor of its extrinsic relational properties: we don’t refer to the phenomenological properties of seeing, and we don’t refer to the physical properties of the eyes. The eyes and seeing are clearly connected, so we exploit this connection to give a reductive definition: seeing is what the eyes do, and the eyes are what is used to see. The inner becomes the outer and the outer becomes the inner. Hey presto, we have a reduction. Occam is a happy man. Pushing further, we can give a similar treatment to the other sense organs: the ears are the organs of hearing, the nose of smelling, the mouth of tasting (etc.), the skin of feeling. We could replace, in a spirit of reduction, our familiar terms for sense organs with these contrived mentalistic definitions: the ears are the organ of hearing, the nose the organ of smelling, etc. If we are very scrupulous, we can stipulate that the word “organ” doesn’t mean “organ of the body” as a physical thing, but rather whatever plays the right role vis-à-vis the mind. We call this word topic-neutral. We have thus mentalized the sense organs of the body. We have re-conceived the body as the embodiment of mind, where “embodiment” is understood neutrally as “whatever realizes the mind” (it could be immaterial).

Following this general pattern, we can move on to the limbs. The hands are defined as organs of desire satisfaction: they serve to relieve hunger, among many other things, all psychological (produce aesthetic pleasure, keep us feeling warm, etc.). The arms are part of this general organ of mental well-being. The legs take us to other places that give us new experiences, or enable us to enjoy a game of football, etc. As for the internal organs, they enable us to live long happy lives, maximize pleasure, be living conscious beings. The body is conceived as the servant of the mind, its ancillary. We think of it from this psychological perspective, which is by no means unnatural—though somewhat exclusionary corporeally. But isn’t this precisely what troubles us about the converse attempt at reduction? The mind no doubt is connected to behavior, but it isn’t just behavior—it has its own intrinsic nature. We can re-describe each in terms of the other and succeed in referring to the thing in question, but the exercise strikes us as ignoring what is essential—the materiality of the body and the mentality of the mind. The same trick can be performed with respect to the brain and the mind: we can describe the brain as “the organ of the mind” and C-fire firing as “the correlate of pain”—we don’t haveto describe them by their usual names. The pre-frontal cortex can be described as “the place where thought takes place” and not fail to refer to the corresponding part of the brain. Thus, we can mentalize the brain; we might even venture to claim that we have reduced the brain to the mind—and certainly we have subtracted a lot from the brain by this maneuver (“reduced” it). Similarly, we can describe the mind by the brain, as in “the mental state realized by C-fiber firing”, and again the feeling is that we have missed the essence of pain. We have referred to pain, but not as pain. A simple verbal trick has been converted into a metaphysical vision, all too easily. The truth is that such re-descriptions are just that: they establish precisely nothing of metaphysical (ontological) significance. In effect, they misinterpret correlation (causal or not) as constitution. When you feel pain, C-fibers fire in your brain, and when C-fibers fire in your brain you feel pain, and we can describe one by reference to the other—so what?[1]

[1] The same reasoning applies to functionalism, as elementary reflection will reveal. I have never heard of anyone trying to define the body by the mind in the way described, and it must surely strike us as bizarre. Why is describing the mind in terms of the body any better?

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Physicalisms

Physicalisms

The word “physicalism” covers a multitude of sins: it is vague, honorific, and deeply mysterious. What does it mean? Don’t say it means “what physicists do”—that is completely circular and uninformative. Also, physics varies from one physicist to another: whose physics do we mean? Do we mean Descartes’ physics, centering around the notions of extension and mechanism? If so, empty space is physical. Do we mean Locke’s physics, in which solidity is the key idea? Do we mean Newton’s physics, in which we have the ideas of mass, force, and acceleration (plus gravity)? Is motion the essence of the physical (matter)? Do we mean Clerk-Maxwell’s electro-magnetic physics with its fields and ethereal forces? Do we mean Einstein’s physics and its apparatus of frames of reference, speed of light, denial of absolute simultaneity, time dilation, and curved space-time? This is a good deal conceptually richer than earlier conceptions of the physical. Do we mean quantum-mechanical physics with its weird and wonderful ontology and dynamics: indeterminism, wave-particle duality, entanglement, wave-function collapse, particle dissolution? Or do we mean an energy-based physics in which solid located bits of matter are a thing of the past? Or do we go the whole hog and opt for an Eddington-style physics in which the essence of matter is consciousness (or some such), or Russellian neutral monism? Don’t say we should plump for what is in common to these various theories, because that will require us to fall back on the idea of “the physical”, for which we have no definition; and there is nothing in common between them at the level of basic theoretical concepts—they are rivals. We can’t even unify gravitation theory with quantum theory. It’s really a hotch-potch of ideas designed with different goals in mind than explaining the mind.

It won’t help to move up a level and try to define the physical in terms of the organic body, say by reference to behavior or the brain. Do we mean the behavior of Pavlov, Watson, Thorndike, or Skinner—and what is meant by “behavior”? Not inner behavior, to be sure, so we must mean physical behavior—whatever that is. And do we include volition in our concept of behavior? In addition, we don’t get reduction of the mental to the physical if behavior is not reducible to the physical, so we are still stuck with explaining “physical”. Nor is the brain any help: what theory of the brain—vitalist or mechanist, localized or holistic? What properties of the brain are allowed—informational, panpsychist, unknown? No, we need to include only the physical brain if physicalism is to be vindicated, but we have yet to define the physical. Do we mean some hypothetical future physics quite unlike our present physics? But that leaves us with no conception at all, and is consistent with a future physics that denies all of current physics. The only concrete meaning is given by specific theories, but there are many of them—so many physicalisms. We might hope to make progress by narrowing it down to some concept agreed upon by all theories—say, shape or motion. Assuming these notions are not too elastic, we at least have a well-defined theory of “physicalism”—which we may label “shapism” and “motionism”. Thus, the mind is reducible to shape or to motion or possibly to both. But who holds that view? It sounds grossly implausible without the magic of that nebulous word “physical”. What shape is pain or thought or emotion—triangular, oblong, star-shaped? And is the mind an arena of motion—thoughts and feelings zipping around like so many weightless projectiles? What speed are they going, do they ever stop moving, how much slower than the speed of light are they? Is quick thinking the same phenomenon as a ball flying through space (the width of a skull)? So, the more specific and concrete we get in trying to find a formulation of physicalism, the more balderdash we spout. There is simply no content to the idea, or a ludicrous content. No one ever claims that mind (consciousness etc.) is the same thing as shape, solidity, motion, force, acceleration, electro-magnetism, curved space, quantum jumps, muscle contractions, salivation, pecking, etc. People just have a hazy (uninformed) idea in their mind of some recondite physical stuff that the mind might reduce to, because actual physics contains nothing even remotely plausible. And if mind were really matter, wouldn’t any property of matter have the seeds of mind contained in it—mass, shape, texture, sharpness? Paradigms of the material are hardly paradigms of the mental. If mind were matter, matter would be mental in its most basic form. Hence all the shady talk of emergence and supervenience. Were early theories of matter, as pronounced by the pre-Socratics, already decent stabs at the nature of mind? If some ancient Greek had stated that mind is mud, would we say “Good try old chap, but in need of a little refinement”? Or mind is sand, or mind is pebbles, or mind is sea water (matter being fresh water). Are modern theories of matter really any better from the point of view of explaining mind? What have Newton’s three laws of motion got to do with thought and feeling? Physics proper, as opposed to some fanciful idea of it, has nothing to do with mind; its basic concepts contain no hint of the mental. You might as well be a “botanicalist” about the mind—the mind consists of peas and cabbage.[1]

[1] Physicalism today is really no more plausible as a theory of mind than physicalism of the seventeenth century; it isn’t as if the progress of physics has made it any more explanatory of the mental than it used to be. We haven’t moved the physical world closer to the mind than it seemed in the past. One would think, if physicalism were true, that the progress of physics would have revealed the physical basis of the mind, but nothing like this has happened. The physical is no closer to the mind that it was three hundred years ago (or two thousand years ago). All we have are loose correlations not explanatory connections.

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Happy 250th!

Happy 250th!

And so, America reaches its two hundred and fiftieth birthday, a milestone event (as some wit remarked). As nations go, that is about the early teen years (England is about 80 now). It seems uncertain of itself, neither one thing nor the other, wondering who it is. It has a toddler for president, but he is a fat toddler, not some skinny unit. He moans and weeps all the time, and lashes out frantically; no one seems to like him much. His linguistic skills are still in the development stage (grammar is a work in progress). He is fond of shiny bangles and sleep-overs. He wears pajamas all the time (he calls them “suits”). Anyway, he is not a bad sort (or so they say), just a little primitive and simple-minded. His meltdowns must be forgiven, in view of his tender age. The rest of the country is in its tweener years—charming, really, if a little unruly. It doesn’t know what gang it belongs to. Not quite Mods and Rockers, but more like Jets and Sharks. Some wear funny (but cheap) hats, others go hatless. Some have never been to school; others have had a few years of elementary education. They like to get together and have shouting parties in which they talk loudly over each other. They are still working on their manners. Some talk pure vicious nonsense; others struggle to articulate their thoughts but mean well. They all have a strange tendency to go completely hysterical for no reason; this can result in actual homicide. It is hoped that this is a passing phase, some sort of hormonal foul-up, but pediatricians fear a genetic component. Anyway, it keeps everyone from getting bored. Oh yes, there is also an epidemic of loneliness, despair, drug addiction, and seething anger that leads to gun play (they still like to play, especially with guns); but it is hoped the pharmaceutical industry will soon find a cure. Who is in charge? Hard to say: it is supposed to be a democracy, but theorists suspect it is the toy industry (aka the media and the tech-military complex). Only fictions are believed. People hate each other with a passion, but preach love from dawn till dusk. So, it’s like any schoolyard or rumpus-room. In only a few years adolescence will set in and then things will really heat up (literally). In nation time, this will be a couple of hundred years from now and no one really knows what will happen. Maybe a sixteen-year-old America will be a more mature place, or maybe it will have a prolonged childhood. One thing is certain: there will be celebrations, good feelings, and much irrational self-confidence.

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Football Mania

Football Mania

I have been enjoying the World Cup these last couple of weeks, apart from the horrendous English accents of some of the commentators (one of whom insists on calling it the World Kep). I have been impressed by the level of skill exhibited, even by England, but especially by Congo. But what really caught my attention was the level of fascination with footballers’ torsos. Women have been drooling over the spectacle of football players taking off their shirts, which is a not uncommon occurrence; Messi and Ronaldo have come in for special admiration. Admittedly, these are fine specimens of manhood, and pretty nifty with their feet too, but it’s the abs that have got these ladies all excited. There are close-ups of those abs plus lascivious commentary—libidinal, lecherous, erotomaniac. I have no objection to this flagrant ogling of the male form; indeed, I encourage it. If the female gaze likes to linger on Messi’s stomach muscles, who am I to object? It’s all very sex-positive and lust-affirmative. It may even stimulate them to get out there and kick a ball around. But is it not somewhat inharmonious with respect to the current excoriation of the male gaze? I mean, what would the feminists (bless their stony hearts) say if there were lecherous men obsessing on-air over female abs, complete with intimate close-ups? Isn’t it a bit, like, objectifying and degrading: these people are professional athletes not sex objects! I myself admire an athletic leg no matter the gender to which it belongs (with a weakness for the female leg, may God forgive me), but I doubt this would be tolerated on national television at exorbitant length. Isn’t there a touch of hypocrisy going on here? Bit of a double standard, eh, jot of inconsistency, what? I had to laugh, but really, come on. These lovely (sorry!) lascivious ladies were not above describing the players as “sexy”, “attractive”, and “hot”—words that must on no account be used about female athletes. Or am I being too critical and logocentric? Let these smitten commentators enjoy their manly pecs and abs (why abs?) while men keep silent on such matters and chuckle inwardly.

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A well-read page

Greetings Colin – thanks for sending this:
a) Loved this line: “Physics is an ontological mess for all its mathematical sophistication, but biology is on solid ontological ground.”
b) Here’s a source reference for that Elizabeth Anscombe line:
“The high success of Newton’s astronomy was in one way an intellectual disaster: it produced an illusion from which we tend still to suffer.”
c) Picture of my copy of  Ethics Evil and Fiction
image.png
d) Will send draft of intro to Shakespeare and Ethics pamphlet shortly.
Cheers
Jag
On Wed, Jul 1, 2026 at 8:27 AM Colin <cmg124@aol.com> wrote:
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Law and Nature

Laws and Nature

When Newton brought all motion under a single set of laws, he changed our view of nature. Now nature was uniform, seamless, of a piece. These laws were mathematical, so nature was mathematical. The natural kind corresponding to these laws was a mathematical kind. Mass, force, and velocity were mathematical kinds, definable mathematically. But then, all moving objects had the same general real essence—masses in mathematical motion. Differences of natural kind were negligible in the light on the universal laws of motion. Nature is defined by its laws and these laws were uniform. Planets, rocks, animals, humans—all were subject to the same physical laws, mathematically formulated. All should then be covered by the same science. A certain image of physical reality was conjured by this Newtonian vision: abstract, mechanical, invariant, homogeneous, mathematical. It was an entrancing vision, laying out a format for all natural sciences. It should apply to everything that moves, including animals and people.

But the science of biology was different: organisms move differently from each other, and they differ strikingly in other ways too. The biological taxonomists had their work cut out for them. Newton was no help to them. They focused on species and their differences: how did these species originate, and what defined them? The differences were at least as important as the similarities. Darwin did not seek universal laws of animal motion, applicable to Earth and beyond; he had other fish to fry (or describe). Newton’s problems were not his. He was not blinded by mathematical science, oblivious to form and function, concentrating only on mass. This made biology into a different kind of science; more different even than psychology, which could focus on the universal laws of stimulus and response. Biology, especially zoology, was all about diversity, not uniformity. It dealt with the problem of diverse species, while Newtonian physics was about uniform matter. For physics all matter belongs to one natural kind; for biology life forms are of different natural kinds. The laws, such as they are, vary from species to species; very little unites them. The natural kind ANIMAL plays a negligible role and is hard to define. The natural kind LIVING THING is even harder to pin down and is probably not even a natural kind. There are no uniform biological laws of motion—ways that all creatures behave (move through space). In physics general laws lead to mathematical etiolation, but in biology we have concrete individuality of kinds. Newton’s vision (inherited by modern physics) is one of vast homogeneity, while Darwin’s vision is one of limitless variety, local specificity. What we call “nature” looks very different under each dispensation.[1]

[1] This paper belongs with my “Biology and Physics”.

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Biology and Physics

Biology and Physics

Biology and physics are very different types of science, but why is this—and is it remediable? Are they essentially different, or is it just a historical contingency? Physics as we have it is highly mathematical, consisting of strict mathematically formulated fundamental laws, expressed as equations; biology is not very mathematical, employs loose statistical laws, if any, and makes little use of equations. You can’t be a (contemporary) physicist and not be a mathematician, but you can be a biologist, especially a zoologist, and be mathematically semi-literate (same for psychology). On the face of it, this seems strange: both are sciences, dealing with the natural material world, and yet one is heavily mathematical and the other isn’t. Part of the reason is that physics is concerned primarily with motion and biology isn’t—and motion is susceptible to mathematical treatment. But why is physics so preoccupied with motion? It is the study of the physical world and not all of that is motion; and animals also move. Zoology is not the study of animal motion, though animals move, and the things that move in physics have a composition and structure. Is biology really immature physics—will it develop into a mathematical physics of animal motion? Is it trying to be like physics and failing? Does biology await its Newton? Or is it simply barking up a different tree—doing a different kind of thing?

Let’s glance at the history. Newton came before Darwin. Physics and biology were not so markedly different before Newton (though Galileo and others were pointing it in a Newtonian direction). Newton mathematized physics with his three laws of motion and law of gravitation. Darwin never mathematized biology. They seem to be up to different things—not developing a unified science of physics and biology. Newton revolutionized physics, as is often reported, thus setting the stage for the age of Newtonian science. He had a massive influence, for good or ill.[1] Later science tried to mimic his achievements, generally failing (especially psychology). Biology deals with living things, physics with dead things (inorganic, or considered only physically). Darwin came in Newton’s wake. But suppose things had been different and Darwin had come first, revolutionizing biology. Suppose the buzzwords were not “force”, “motion”, “mass”, and “gravity” but “survival of the fittest”, “reproduction”, “species”, and (later) “gene”. Suppose biology had beaten physics to the finish line—it was the first real science, the glory of the Royal Society. It had the prestige, the power, the charisma. And suppose no one of Newton’s caliber had graced the scientific scene—no “God said let Newton be and all was light” (actually gravitation). Maybe physics doesn’t reach maturity till the twentieth century, while biology proceeds apace. Darwin is the shining scientific star and there is no miraculous Newton to compare with him. Wouldn’t the physicists look up to Darwin as their model and his theory as their loadstone? Wouldn’t they formulate their theories with reference to biology? Little to no mathematics, no obsessive focus on motion, no equations. Physical objects are modelled on organisms, atoms on cells, molecules on genes. Books like The Selfish Atom would appear and become bestsellers. Purposive language would be freely employed. Mechanism would be deplored. Gravity would be seen on analogy with (or a special case of) human and animal attraction. Heavy emphasis would be placed on evolutionary questions (how did the physical universe get here?), a keen interest taken in physical anatomy (material structure), a fascination with how physical things survive in a violent world—but not much about motion per se. Physics would look more like natural history than it does now. It would not be the queen of the sciences. It would not have the prestige it now enjoys. You could be a successful physicist and not know much mathematics. On the other hand, if Darwin had been an ace mathematician obsessed with motion, maybe biology would have looked very different, and in need of correction. As it is, however, Newton ruled the scientific universe and made everyone want to emulate him. The world was seen as a Newtonian mechanism.

I am saying all this because I believe physics has become too mathematical, or too exclusively mathematical—too unlike biology. Not that there is anything wrong with mathematics, but it skews our sense of the physical world and hence our science of it. Physics is about the nature of the physical world not about the mathematics of motion—that is just a part of it. It should be primarily concerned with evolution, anatomy, and physiology (the internal workings of material things). It should explain the transformation of one physical thing into another (metamorphosis), the creation of new kinds of object (red dwarves, black holes), the behavior of solar families (like our solar system), the microanatomy of physical cells (as atoms could have been called). We should have the mindset of a naturalist, a love of nature, an interest in classification and origins. Not anthropomorphic, to be sure, but not exclusively mathematical and abstract. To my mind, zoology is among the best sciences we have (probably the best), considered from every viewpoint, whereas physics has areas of dissatisfaction—quantum theory, space and time, the ultimate nature of matter, the ontology of force, the problem of unifying gravitation theory with particle physics, dark matter and energy. Putting it simply, we don’t know what the hell is going on in the physical universe, but the dynamics of the animal world is well understood. We have nothing like the gene-centered theory in physics—nothing all-encompassing and genuinely illuminating. In physics we easily lapse into operationalism and positivism, while in biology we deal with reality as it manifestly and intrinsically is. We have no qualms about being zoological realists, but instrumentalism is perennially popular in physics. Lions, elephants, and ants exist, no question, but fields, quarks, strings? Physics is an ontological mess for all its mathematical sophistication, but biology is on solid ontological ground. Biologists should not mimic physicists; physicists should mimic biologists. In sum, go back to the mindset of pre-Newtonian physics—the science of the material universe in all its aspects. Psychology benefited from leaving behaviorism behind and rediscovering seventeenth century psychology (as urged by Noam Chomsky); physics might benefit by rediscovering pre-mathematical physics (it can keep the mathematical stuff too). Stop talking about predicting motion on the basis of equations and start digging into the nature of matter as such. Newton himself appreciated this point, because he recognized that he had no theory of the real nature of gravitation, only a predictive mathematical apparatus. In a slogan: biologize physics! Make it more like Aristotle’s physics, but without the errors. Don’t be afraid to let go of the formulas and get down to the nitty-gritty.

Would the physics of an alien intelligence be like ours? Is our physics shaped by our peculiar traits and biological history—our taste for numbers, in particular? It seems likely that it is: our physics has a particular intellectual history and results from a combination of our biological brain and what lies outside of it—not to mention the idiosyncrasies of its heroes. We have resorted to a mathematized physics because it is the best method available given our epistemic situation, not because it is the only way physics could be done. Aliens might have developed their physics later than, and in the light of, their biology, and be mathematically inept.[2]They had many Darwins and zero Newtons. Their biology is a lot more advanced than their physics. Well, we need to be a bit more like them. As a bonus, many more people will be interested in physics now that it isn’t presented so mathematically; people will get degrees in English and physics combined. Maybe AI could be encouraged to develop this new non-mathematical physics (we especially need to downplay calculus). Science in general doesn’t need mathematics, though it can be useful, so physics could re-invent itself in a form suitable for the innumerate. You could do physics without the tedium of calculation. We are already half-way there, given that AI might take over calculation duties; we could then focus on the interesting stuff. Arithmetic always felt like a pain in the brain. I look forward to a physics without numbers. Mathematics can be left to the mathematicians.[3]

[1] There are those who believe, not without reason, that Newton was historically disastrous, as well as intellectually brilliant: for he established an ideal of knowledge that mesmerized his contemporaries and descendants, shaping (and deforming) other sciences and even the humanities. Everyone wanted to be like Newton, but the world is not exclusively Newtonian; it is also Darwinian, Shakespearean, sometimes Kafkaesque (it’s even Nabokovian in places). It isn’t all colorless billiard balls in mechanical motion.

[2] See Daniel Whiteson, Do Aliens Speak Physics? (2025) for a discussion of alien physics.

[3] I think the human mind is more naturally suited to doing biology than physics, given the way we constitutionally think; you have to be something of an oddball to resonate to a physics textbook. Darwin is a lot easier to read (I myself have read all of Charles Darwin, as I have Jane Austen—both a joy to read). I intend this paper to fuel the ego of biologists—you are not inferior to those physicist chaps! And physics really does have too much prestige in our intellectual culture, admirable though it is (the subject not the people—that is a separate question).

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Rigidity and Necessity

Rigidity and Necessity

The idea of rigid designation was one of Kripke’s best ideas in Naming and Necessity, but he didn’t explore it in much depth. I will rectify that omission, putting rigidity in its proper place. It will turn out to be both more familiar and less well understood than we have been led to believe. The first point to be made is that rigidity is not really a property of words per se; it is a property of meanings—or better concepts. There could be rigid designation in thought independently of language, and in language the property is derivative from concepts. For, as we all know, words qua sounds and marks are only contingently connected to their meaning and reference, i.e., they are arbitrary signs. As Kripke is well aware, a word is rigid only relative to an interpretation of it—relative to a language (a term is “rigid-in-L”). It is really the sense that is rigid not the sign itself. There is no necessary connection between the syntactic or phonetic features of the term and its reference in a language; the connection obtains at the semantic level. No problem—but useful to bear in mind. A more substantial point is that rigidity is a type of necessity: it simply means that the designator necessarily designates its actual reference—in all possible worlds it designates the same object. A flexible (or flaccid) designator contingently designates its actual reference—in some possible worlds it designates other objects (e.g., “the teacher of Aristotle”). I don’t know why Kripke chose to use the word “rigid” in this connection, and he doesn’t say, but he could have left that word alone and stuck to “necessary”. It gives the impression that some other notion is being invoked, which is quickly belied by his actual use of the term “rigid” (ditto for “flexible”). We can simply define “rigid designation” as “necessary designation”—designating (denoting) the same object in all worlds (in which it exists). Again, no sweat, we just incorporate this point into our understanding.  It’s odd that Kripke didn’t make the point explicit, but the new term is certainly catchy; we would be living is a poorer possible world if it had never been invented. So, I will persist with it. We could equally have spoken of an invariable designator or a hard designator–or firm or fixed or stiff or inelastic or inflexible or unbending or locked-in; we would have meant that it couldn’t be otherwise, i.e., it is necessary.

Now we come to a less terminological point, indeed a metaphysical point. This is that rigid designation is a metaphysically necessary relation—a type of metaphysical necessity like other metaphysical necessities. It belongs to a family of modal theses. Other members of the family include: identity, origin, composition, instantiation, causation, succession (of numbers), and spatial and temporal relations. Thus: the identity of Hesperus with Phosphorus is a necessary relation; queen Elizabeth II being born of these particular parents is a necessary relation; this table being made of a particular piece of wood is a necessary relation; a cat instantiating the natural kind CAT is a necessary relation; 3 being the successor of 2 is a necessary relation; this event being caused by that event is a necessary relation; this region of space being next to this other region is a necessary relation; this moment in time following the prior moment is a necessary relation. And the name “Aristotle” (in the English language) designating a particular polymathic ancient Greek philosopher is a necessary relation (it designates Aristotle in all worlds, never Diogenes). This whole happy family of rigid (necessary) relations has name designation as one of its members (but not typical definite description designation). The name is invariably (necessarily) attached to a specific object in the way Elizabeth II is invariably (necessarily) attached to her actual parents (a couple of stiff Germans or some such). Or: the mental representation underlying the use of the name is non-contingently bound to its actual referent—unlike, say, “the inventor of bifocals”. That is the modal metaphysics of names (as understood by contemporary disciples of John Stuart Mill anyway). And just as anti-essentialists will question the list offered above, so description theorists of names will question Kripke’s claim about names. They might even reject the whole modal metaphysics being proposed, sternly insisting that nothing is metaphysically necessary. The point is that rigidity is of a piece with other claims of metaphysical necessity. Kripke could have cited the rigidity of names as another example of de re necessity along with identity, origin, composition, and natural kind. Why didn’t he? I don’t know; he seems not to have recognized the affinity between rigidity and other de re necessities. He didn’t see that semantic relations are a special case of modal facts (necessary or contingent). He could likewise have contended that the semantic relation between descriptions and their referents is contingent (non-rigid), like the relation between Elizabeth II and the palace in which she was born. It’s all a bunch of modal metaphysics, love it or hate it.

The next point that needs badly to be made (it’s aching to be made) is that rigidity has nothing essentially to do with names; it is a general feature of natural languages (and conceptual schemes).[1] First, it applies to (some) definite descriptions (“the actual inventor of bifocals”, “the successor of 2”); so, it is not the same property as what is called “direct reference” or “Millianism”. Nor is it confined to singular terms: predicates, too, rigidly refer to the properties or attributes they “express”—in all possible worlds “red” refers to redness (never to blueness). Logical connectives rigidly designate (mean, express) particular truth functions: “and” refers to conjunction in all worlds, never to disjunction—that is its contribution to truth conditions in all worlds. The concept of conjunction is inextricably linked to a particular truth function; it can’t be pulled apart from this function and used flexibly to refer to other truth functions in the manner of flexible definite descriptions. Quantifiers likewise rigidly designate specific second-level functions; they can’t vary their reference across other such functions—as if “all” could refer to the existential quantifier function in some possible worlds. We can even say that a necessarily true sentence rigidly designates its actual truth-value, since it has no other truth-value in any possible world. Rigidity (the de jure kind) is thus the rule not the exception; names are by no means uniquelyrigid. Language is generally rigid in its referential propensities. Senses are generally tied inelastically to their references—firm, fixed, invariable. There is a necessary relation between the two semantic levels. What else would you expect? Why would all aboutness in thought and language depend on knowledge of contingent properties? Haven’t we got enough to think about? Rigidity is predictable and banal not remarkable and exotic. Rigidity in language is as commonplace as solidity in the physical world—or, we might say, physical rigidity (most physical objects are rigid).

Kripke is rightly celebrated for distinguishing metaphysical from epistemic necessity, and for clarifying the distinction. He is particularly good on articulating what epistemic necessity amounts to: the impossibility of an identical epistemic situation correlated with a different fact. Most things turn out to be epistemically contingent—anything that is not certain, basically. “I exist” is epistemically necessary, but not “I am in Miami”. Strange, then, that he says nothing about epistemic rigidity: is it epistemically necessary that “Aristotle” designates Aristotle (that guy)—is this a cast-iron certainty? No, because I might be a brain in a vat and designate nobody by this name; and no, because I might have made a mistake about its reference—maybe the name really refers to Aristotle’s assistant and then got mistakenly applied to the great philosopher. If you ask me who “Aristotle” names, I will say the great Greek philosopher who wrote such and such books, but in fact it refers to his bookless assistant. It might turn out that many names I use refer to people other than the people I think they refer to—I am fallible that way. I don’t always know who my names refer to; skepticism applies. Yet my names do refer metaphysically rigidly—just not epistemically. I can be wrong about whether a table is made of wood and yet it necessarily is (if it is); and I can be wrong about whether a name refers to the person I think it does, though it necessarily does (if it does). So, names are epistemically non-rigid, i.e., it could turn out that they have a different bearer from the one I think they have. This is exactly the same as other metaphysically necessities for which metaphysical necessity does not imply epistemic necessity. The only way to inject epistemic necessity into a name is by stipulating that it refers to oneself: I say “Let the name ‘Colin McGinn’ refer to the same person as ‘I’ refers to when I say it”; then it will be certain that “Colin McGinn” designates me, since that is guaranteed by my knowledge that I am myself, about which I cannot be wrong.

Returning to metaphysical rigidity, we can observe that it does raise metaphysical questions. First, it brings up the issue of metaphysical necessity in general: we can only make sense of rigid reference if we can make sense of metaphysical necessity in general (is this why Kripke gave it another name?). There is the vexing question of how we know that names rigidly designate their bearers, given that necessity is not an empirical property of things—like the necessity of origin or kind. We just have a modal intuition to this effect; so, the epistemology of modality is an issue. Second, there is something peculiar about the necessary link between language and the world: how do meanings hook up necessarily with objects?  How is what is in the mind necessarily conjoined with something existing outside my mind? How does meaning entail reality?[2] The sense of “Aristotle” ensures that in all worlds Aristotle is denoted, but how does it do that? Is it because sense and reference are identical (as Mill maintained) or is the sense somehow glued to the reference? Necessary relations are already puzzling, but the puzzle intensifies if it crosses ontological categories: the name in my head somehow contrives to take the same reference in every possible world—by what magical power does it do that? Rigid designation may be common and banal, but that doesn’t mean it isn’t philosophically puzzling. Call this the “rigidity puzzle”: Kripke could have written a paper entitled “A Puzzle About Rigidity”. What is the meaning of a name such that rigid designation holds of it? How can we avoid collapsing sense into reference if rigidity holds? Not easy questions.[3]

[1] I discuss this more fully in my old paper “Rigid Designation and Semantic Value”, published in Philosophical Quarterly (1982).

[2] Here we see the concerns of Kripke’s Wittgenstein on Rules and Private Language intersecting with the doctrines of Naming and Necessity: what would the semantic skeptic say about the concept of rigid designation? What kind of fact is that? How does “+” rigidly mean addition?

[3] In Naming and Necessity Kripke manages to make the whole subject seem commonsensical and straightforward, but it raises thorny philosophical questions. I have always wished he would have gone back to that seminal text, especially with respect to metaphysical necessity. Did he really have nothing more to say about it? I discussed it in “Modal Reality” (1981), and David Lewis made a living out of it, but Kripke was cryptically silent on the subject.

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