Using GREP in InDesign to find prime numbers

Prime numbers are those that are divisible only by themselves and by the number one. Now I dislike arithmetic, and my heart sinks whenever I hear the word ‘divisible’, because it suggests boring activities such as counting or doing “long division sums”.

But I enjoy working with text, and trying out clever things with “find” and “change to” in applications such as InDesign. So it was a real pleasure to learn recently that GREP can be used to find prime numbers. (GREP is InDesign’s implementation of “regular expressions” for matching text.) Grasping how it can do that also helps to throw light on the concept of a prime number. And it does so in an intuitive and simple way that does not involve doing arithmetic.

Imagine an old-fashioned pavement made out of a fixed number of rectangular paving slabs laid side by side. Imagine a child walking from one end of the pavement to the other. By “avoiding the cracks” between them, the child can always reach the last slab, whatever their number, by simply stepping from one slab to the next. But by jumping over alternate slabs (i.e. every second slab), the child might not be able to land on the last slab – it depends whether there is an even number of them. Likewise, by taking big leaps of three slabs at a time, our child will only be able to land on the last slab if their total number is a multiple of three. And so on.

I hope you can see how this might continue into larger and larger numbers. So on it goes, with our child taking larger and larger steps, possibly with the help of a pair of stilts. For example, if the pavement is 15 slabs in length, the fifteenth slab can be reached by taking five big leaps of three slabs each, or three even longer stilted strides of five slabs each.

Now here’s the really important thing about prime numbers: the last slab of a prime number of such slabs can only be reached by taking a single step over all of the slabs that precede it.

GREP can be used to find prime numbers, because a simple GREP expression can match non-prime numbers. It manages to do that by mimicking the behavior of a child stepping over multiple paving slabs as just described.

Let’s build up a GREP expression slowly to see how this works. By analogy with reaching all the way to the final slap of a pavement, we want our GREP expression to match an entire series of letters. Let’s choose any letter at random, such as capital M.

We should start off with the simplest of GREP expressions: M will match any single instance of the letter M. If I have a long series of Ms (like this: MMMMMMMMM) the GREP expression M+ will match the whole series at once. That’s because the plus sign asks it to match one or more Ms, and by default GREP is “greedy” – it will match as much as it can, in this case the whole series. We can change that default behavior by adding a question mark. In isolation, M+? will match the same as M on its own.

What we want to build is a GREP expression that will mimic the behavior of a child skipping over whole paving slabs (plural) rather than one-by-one by simply stepping over the cracks between them. The expression MM+? works for that purpose, because it will match two or more instances of the letter M, at the same time as matching as little as possible thanks to the ? at its end. This gets really useful when combined with parentheses to make a “unit” (MM+?), and \1 to match whatever that unit matches (the number one is used here because it’s the “first unit” in the entire expression).

Bearing in mind what I have just said about the default “greediness” of GREP and the way it can be overridden with a question mark ?, consider the following expression:

(MM+?)\1+

This expression is nearly what we’re looking for, as it matches as much as can be matched by repeatedly re-using its smallest constituent parts, where the parts in question are anything bigger than single letters. To illustrate, consider this series of six Ms: MMMMMM.

The MM+? in parentheses matches the first two Ms in MMMMMM. It won’t match all of them because the ? tells it to match as little as possible, and it won’t match just one because it must match at least two. So now \1 matches a pair of Ms. So \1+ matches as many pairs of Ms as it can, to try and match all six Ms. As it happens, just two further pairs are needed.

This is analogous to a child reaching the final slab of a pavement of six slabs by jumping over the first two slabs in one go, then repeating the same feat twice. Reaching the last of any even number of slabs involves the same procedure, repeating the initial jump as many times as may be necessary.

But now suppose we use the same expression to try to match nine Ms. Just repeating matching pairs won’t work this time, because nine isn’t a multiple of two. This is where GREP does something clever. It “backtracks” as soon as it has to give up on its initial attempt to match the whole series by repeating a matching pair. Next, it tries matching MM+? to three Ms instead of two. This is what it must do, if you think about it, since it is trying to match as little as possible with the part of the expression in parentheses, yet as much as possible with the entire expression. The default “greediness” of GREP remains the “prime directive”, and it might be able to match more by trying repeated triples rather than repeated pairs of matched letters. And in the case of nine letters, it turns out happily again, with \1+ matching two further triples.

This is analogous to a child reaching a ninth slab by leaping over three in one go at first, then repeating it two more times.

I hope it’s obvious how this continues. GREP will keep trying out larger and larger initial matches as long as it fails to match the entire series by repeating its initial match. With non-prime numbers of letters, it will eventually succeed. But with prime numbers, it will never arrive at an initial match whose repetition succeeds in matching the entire series. So prime numbers are those that GREP can’t match when searching in series of the same character (such as the letter M).

There are couple of loose ends to tie up. GREP needs to recognize the start and the end of such a series. We might tell it only to look within entire paragraphs, in which case we should put ^ at the start of the expression and $ at the end (this is a standard GREP convention). Or we might use spaces between series to mark them off from each other, and look for any character except spaces instead of the letter M. Using standard GREP code for “positive lookbehind” (?<= ), “positive lookahead” (?= ), and “anything but” [^ ] set to spaces, it ends up like this:

(?<= )([^ ][^ ]+?)\1+(?= )

The expression (?<= )([^ ][^ ]+?)\1+(?= ) matches any series of the same character whose length is non-prime, but it won’t match any whose length is prime. It’s a straightforward matter to apply this in InDesign or any equivalent application to find prime numbers. (Interested readers familiar with InDesign can download a simple Javascript that demonstrates the basic idea here.)

I have tested several scripts for generating and testing quite large prime numbers, and GREP works remarkably efficiently when put to this unintended purpose. In doing so, I have acquired a more intuitive grasp of what prime numbers are, and why they are part of nature. For example, 13-year cicadas and 17-year cicadas only have to compete against each other every 13 × 17 = 221 years, when they emerge in the same year. It is no accident that evolution stumbles upon prime numbers in this sort of situation.

I can see why we might we might call primes the “building blocks” of the counting numbers. Best of all, I’ve had to do no arithmetic!

What’s wrong with individualism?

My fridge is an inanimate object. It doesn’t desire anything. It doesn’t have any preferences or interests. It is entirely non-sentient. If I slowly and sadistically hammered a nine-inch nail right through the side of my fridge, or even nailed it to a cross, it wouldn’t matter morally at all. It wouldn’t feel a thing.

Mind you, if you hammered a nail into my fridge, it would matter morally, because it’s my fridge, and I don’t want you to do that. I’d prefer it if you didn’t do that, and it would harm me if you did. But the harm would be done to me as a sentient individual rather than to the fridge which feels nothing, cares for nothing, and deserves nothing.

See the difference? On the one side, something that isn’t sentient and doesn’t deserve moral respect. On the other side, something that is sentient and so does deserve moral respect.

What about my society or my community? – Groupings of individuals are composed of individuals who are sentient and so do deserve moral respect, but the groupings themselves are as non-sentient as my fridge. Like a triangular arrangement of non-triangular dots (∴), the parts have a property that the whole doesn’t have. The mistake of assuming the whole has a property that the parts have is called the “fallacy of composition”. (The converse error of assuming the parts have a property of the whole is called the “fallacy of division”.) The important thing to see is that it is a mistake.

‘Individualist’ is an obvious word for someone who thinks sentient individuals deserve moral respect but thinks inanimate, non-sentient objects like fridges or society do not deserve moral respect. Please note that an individualist so understood would not normally be someone who “lacks compassion”. Why not? – Such an individualist would normally think that since individuals count, individuals have responsibilities to look after each other and to respect each other’s interests. “People matter” – in fact only individual people matter. This sort of individualist wouldn’t normally have compassion for inanimate, non-sentient objects such as fridges or society, because why should they?

But evidently, the word ‘individualist’ is also used in a pejorative sense to mean someone who “lacks compassion” like that. Presumably, this second sort of individualist thinks society should be run along the lines of “every man for himself”, with each individual protecting his or her own interests and not caring about other individuals. Philosophers often distinguish between the two sorts of individualism by labeling the first “liberalism” and the second “rugged individualism”. I hope you can see why traditionally, liberalism was associated with the left wing of politics rather than the right wing, and why the word ‘liberal’ is sometimes used in a sloppy way to mean “left wing”.

When Margaret Thatcher’s critics berate her for “not caring about society”, what do they mean? – Usually they mean that she didn’t do enough to protect the interests of weak individuals from the selfish greed of strong individuals. That strikes me as a perfectly legitimate criticism.

But some of her critics seem to mean that she was wrong to care about individual people instead of caring about an inanimate, non-sentient object called “society”. It strikes me as inhumane to care about non-sentient “collectives” of people such as nations or races instead of sentient individual people. That way lies fascistic nonsense about “destiny” and collective culpability. So I think this second sort of criticism is illegitimate and conceptually confused.

I don’t expect non-specialists to be familiar with technical philosophical terms, but I do hope that people of average intelligence can grasp the difference just discussed, and not get carried away by a rather everyday sort of ambiguity. (Such seems to have been the fate of current Irish president Michael D Higgins.)

In the hope of bringing a little bit more “harmony” where there was “discord”, let’s use language clearly!

René Descartes, used car salesman

Consider some differences between a car salesman and a car mechanic. The car salesman’s job is essentially social: he uses rhetorical skills of persuasion. He wants to sell you a car as an entire package. The car mechanic’s job is different: it involves engineering rather than persuasion. She works on much more limited, specific parts of your car. She rolls up her sleeves and works under the hood, where salesmen pushing a “positive driver experience” won’t go. Although there is some overlap between the two types of job, for the most part the techniques used by one are inappropriate for the other.

There is a similar division of labor in epistemology. Philosophers such as Descartes call all knowledge into question at the same time, the eventual purpose being to provide reassurance. Doubt is cast on the “entire package” until we can be persuaded that we are indeed entitled to say we know what we thought we knew all along. In his Meditations, Descartes in effect steals our car, then sells it back to us in his capacity as a used car salesman. Contrast that with the approach of philosophers such as Quine, whose aim is to explain how we acquire knowledge in this or that area of human life.

Internalism and externalism

There is a crucial difference in the methods involved. Descartes is an internalist – in providing reassurance, he can only allow himself to appeal to what is already “internally available” to him as justified belief. Quine is an externalist – in providing explanations, he is free to use any information that may usefully serve that purpose, such as scientific hypotheses about how sense organs work, philosophical theories about language and mind, and so on.

This isn’t an effete distinction of merely philosophical interest. Internalism can give science a mistaken self-image, and in so doing make for bad science. For example, Kant thought scientific inquiry revealed what had to be the case given the phenomena we observe. The assumption is that to find what we seek, we need not – in fact we cannot – stray outside the “internal” realm of the “given”. But in fact, science reveals what might be the case rather than what must be the case. In other words, it provides sufficient rather than necessary conditions for observable phenomena. These sufficient conditions are the product of conjecture – of guessing about the external world instead of building on what is internal or “given”.

As another example of the baleful influence of internalism, consider Francis Bacon’s inductivist model of science, which supposes that scientific laws are inductive generalizations from repeat observations. The structure is assumed to be that of an edifice resting on foundations: the observational “basis” implies the extrapolated generalizations. Internalism tells us that the best inductive generalizations are those supported by the strongest internal reasons – usually the ones that are extrapolated from the largest number of observations. Externalism needn’t reject induction altogether, but instead of focusing on their internal basis, it tells us that the best inductive generalizations are those that are as a matter of external fact the most reliable – i.e. the ones that are underwritten by genuine lawlike connections in the real world, even if we aren’t aware of them. So, internalism puts a premium on observing many white swans to conclude that all swans are white. Externalism instead asks whether there really is a lawlike connection between color and genus-membership. (There isn’t.)

Kant and Bacon were natural philosophers of earlier times, but the corruption of internalism continues in our own day. Consider the way inductivist sciences such as psychology and climate science assume that theory (or models) are “based on observational data”. This assumption is so deep-seated that repeatable testing has all but been abandoned. In these nether regions of science, observations are not made in order to confirm or falsify the predictions made by hypotheses, as happens in legitimate branches of science. Instead, the role of observation has been reversed. Rather than test theory, “data” are sought which supposedly imply it. Where no honest “data” are available, dishonest ones are conjured up in the form of “proxies”. The theories (or models) so arrived at are typically supported by statistical extrapolation, which is an application of induction. That should not be accepted as any substitute for testing.

Social versus naturalized epistemology

I’m going to be a bit idiosyncratic now, and call the internalist project of providing reassurance or persuasion “social” epistemology. Although one can (like Descartes) call one’s own knowledge into question so that only one person is involved, the methodological pattern is essentially rhetorical, and is modeled on the social interaction that occurs when one person tries to persuade another person of something called into question. When we try to persuade one another that a belief is true, we can only appeal to what we agree upon already before proceeding “onwards and upwards”. Even though the beliefs are “empirical” – a posteriori, uncertain, etc. – the business of persuasion has the same “foundational” structure as mathematics. That is, some claims are taken for granted like axioms, and used as a “basis” to imply some further claims like theorems.

I’ll follow Quine’s terminology in calling the externalist project of explaining knowledge “naturalized” epistemology.

The techniques of car salesmanship are inappropriate for car mechanics, and similarly, the methods of social epistemology are inappropriate for naturalized epistemology. Yet the habitual practices of social epistemology spill over into epistemology in general. Perhaps more worryingly, the habitual practices of social philosophy also infect branches of science (or would-be science) that make foundationalist assumptions about “justification”.

Persuasion

When we try to persuade another person of something, we try to “implant” a new belief in the other person’s belief system. Usually, we already believe what we are trying to persuade the other person of – in other words, it’s already a “node” in our own belief system, which is bound to differ in many details from their belief system.

The practice of implanting a belief usually involves finding out where our respective belief systems do not differ, so that the potential new belief can be incorporated into their system by becoming “anchored” to the same nodes in their system as the ones it is already anchored to in our own system.

This practice gives a central role to arguments, ideally arguments that are deductively valid. Such arguments serve two distinct purposes. The first is to make premises explicit, in other words to bring out into the open what in our own case is sufficient reason to continue believing what we already believe (and hope will serve as fertile ground for sowing a new belief in the other person). The second purpose is to show what is in fact implied by those premises, in other words to show that they make a compelling reason for him to adopt the new belief.

In seeking fertile/common ground like that, the operative word is ground. We are looking for some shared beliefs that can be taken as “given”. This is a contextual matter of social epistemology, because it crucially depends on who is trying to persuade whom (as well as of what). The grounds so discovered might well be temporary. They are not “certain”, but they are taken for granted for the time being by the relevant parties. They are arrived at via a sort of “game” whose rules forbid appeal to anything other than the shared beliefs of those involved. These beliefs are treated as being “beyond question” in the discursive context, but I repeat: they are not certain in any absolute sense.

Our social habit of seeking foundations for belief should not extend beyond those discursive contexts – of persuasion, of calling the beliefs of others into question, that sort of thing. But alas, the appeal to “foundations” for belief has become a model for the analysis of knowledge in general. As I said above, it can steer scientific inquiry in the wrong direction as well.

Knowledge is justified true belief?

Consider the analysis of knowledge. Epistemology’s traditional three conditions on knowledge include the demand that any putative item of knowledge be “justified”. Justification is generally understood as synonymous with being grounded – in the sense of being implied by more secure foundations. The concept of knowledge itself is corrupted by granting the status of criterion to what should be merely a guiding assumption from the habitual practice of social epistemology.

Social epistemology does have a place in persuasion, where one person’s beliefs are called into question by another person, and so on. But outside of those contexts, all beliefs are in a sense “justified” simply by virtue of being beliefs in the first place. As genuine beliefs, they have to belong to a sufficiently rich belief system. And that usually means standing or falling with several other beliefs as new circumstances arise. In other words, any belief is part of a network in which it implies and is implied by other beliefs. In that sense, they are all “grounded”. Wittgenstein observed that many of our beliefs do not stand in need of justification. Perhaps none need justification because all of them are already justified. (Which of course is not to say that all of them are true.)

It is quite legitimate to ask what knowledge is, or whether we actually have knowledge in this or that particular area of inquiry. But if the aim is not the social “calling into question” or persuasion described above, the answers will usually not appeal to foundations at all. Knowledge consists of true beliefs sustained by reliable processes rather than true beliefs which are “justified” as social pressures might contextually demand. Those reliable processes might be causal, but they need not be. They connect beliefs with states of affairs, which are neither true nor false. The greater part of any such process is “external” and not likely to be known or even knowable to the knower. For example, dogs know when they are about to be taken for a walk, but they do not know that they know it, nor how they know it, and they are wholly unable to give an account of either. All that matters is that a lawlike connection exists between their actually being about to be taken for a walk, and their believing it. Furthermore, whatever “justification” they have is minimal – it hardly extends beyond the their belief belonging to a belief system. Yet this does not militate against their having knowledge.

Philosophers since Plato have drawn a distinction between rhetoric and logic. Rhetoric might be characterized as the “art” of persuasion, whereas logic is the “science” of truth. It seems to me that talk of epistemological foundations – of “justification”, “data”, “grounding”, etc. – should be understood as a concern of rhetoric rather than as part of a naturalistic account of how we come to know truths.

What is a paradigm?

Autobiography (skip to “Meaning is use” if you prefer)

Two books made a huge impression on me as a young man. Both literally kept me awake at night, although for very different reasons. The first was The Selfish Gene by Richard Dawkins, which I read as a first-year engineering student. I had been in love with physical sciences and biology since I was a child, and by the age of eighteen, I was already a pub bore on Darwin. But I was unhappy with standard high school biology’s explanation of altruism: supposedly, it was “for the good of the species”. I knew that couldn’t be right, but I couldn’t quite put my finger on what was wrong with it until I read The Selfish Gene. It was thrilling to be able to explain altruism properly, as well as so much else. It was fun to speculate about the earliest “replicators” and the origins of life on Earth (and probably the origins of life elsewhere). It was dizzying to imagine vast new intellectual projects, such as the biological treatment of human behavior, or the evolutionary treatment of ideas as distinct from living organisms.

The sheer exhilaration of all that explanatory power and speculative fecundity turned my love of science into something like a marriage. I officially “believed in science”. I fancied myself to be an intellectually tough-minded yet unusually enlightened character, who was dismissive of anything that seemed “unscientific”. (And since then I have met many who seem to have cultivated the same smug self-image.)

It may sound odd, but during the course of this marriage I began to lose interest in specializing in any particular branch of science, and began to think more about “how it all hangs together”, how disparate sciences can work with each other to reveal the true structure of reality. I wasn’t familiar with the terminology at the time, but I was becoming a dedicated “scientific realist” and a “reductionist” in the sense of constantly seeking and expecting to find smooth “meshing” between theories of different branches of science.

I won’t flatter myself by saying it was my intellectual development that led me out of engineering. Punk rock, alcohol and late-onset misspent youth had more to do with it. Somehow or other my tortuous journey continued through pure mathematics, and unemployment, to philosophy.

As a philosophy student a few years later, I found another book that literally kept me awake at night: The Structure of Scientific Revolutions by Thomas Kuhn.

Years before, Dawkins had kept me awake with excited delight. But now Kuhn kept me awake with the nauseating symptoms of a disease. Kuhn said that science was not the pinnacle of rationality and constructive human cooperation I had assumed – it was more like a “darkling plain / swept with confused alarms of struggle and flight / where ignorant armies clash by night.” Kuhn gave me the queasy feeling that my “marriage” had been a complete sham. I welcomed this truth that had taken so long to reveal itself, of course, but felt sickened at the length, breadth and depth of the apparent deception that had existed before.

But enough of this autobiographical detour. I took it because I think I know first-hand why so many scientifically-minded people – including Richard Dawkins – dismiss Kuhn’s central idea of “paradigms” as pretentious nonsense. Inasmuch as they understand it, it makes them feel sick. And many do not understand it, nor even make an effort to do so, because they regard the history of science as an arty-farty humanities subject that cannot have any relevance to “hard science”.

They’re making a mistake. I suspect that like me, they’re intuitively attracted to scientific realism, but they assume the way to do justice to that intuition is to dismiss what seems like an empty threat because it comes from “outside science”.

So I’ll try to explain what a paradigm is, and why paradigm shifts are real and important intellectual events, without appealing to any sort of history. I think it’s helpful to think of the concept of a paradigm as having two components: the first is expressed by the slogan meaning is use. The second component is holism.

“Meaning is use”

We’re all well-aware that the meanings of words depends on the way they’re used, even if they’re used wrongly. For example, some people use the word ‘disinterested’ to mean uninterested or bored. They defy linguistic authorities when they do that, and from a wider perspective than that of their own linguistic group it confuses things to do so. But it confuses things precisely because within their group they do successfully mean “bored”, and they manage to do so because “meaning is use”. If they want to bring their usage into line with mainstream English speakers, the dictionary definition might “correct” them. But if they don’t, the dictionary definition is impotent. It doesn’t shape the meaning of this word, or any other word. Dictionaries merely describe how words are already used.

The main insight expressed by the slogan “meaning is use” is that definitions play a far smaller role – if any – in determining (establishing, fixing, etc.) meaning than had hitherto been supposed. Definitions obviously play no role at all in the rudimentary forms of language seen in animal communication. And that is where human language evolved, and indeed where it developed into science and great art long before the invention of dictionaries. Definitions play a far smaller role in science than those who take mathematics as a model for the empirical sciences seem to assume. Only in mathematics do definitions play an “official” role when new terms are introduced, and even there they do so by strictly prescribing use.

Unlike mathematics, empirical science involves competition between rival theories. And rival theories use terms differently, even terms that are shared, like ‘mass’ in Newtonian and relativistic physics. Because the terms are used differently, they mean different things. For example, Newtonian physics assumes time “ticks by” at a regular rate regardless of reference frame, that spatial distance is absolute, that mass is an intrinsic feature of objects (so in effect it’s a measure of “how much matter” they’re made of) and so on. All of these concepts change – along with the meanings of the terms used to refer to them – in the transition from one theory to the other.

So far I’ve used the word ‘theory’ rather than ‘paradigm’, and ‘transition’ rather than ‘shift’ out of respect for incredulous readers. Why not continue to do so? – Well, we might understand a theory as a collection of hypotheses that are used together and linked by logic or whatever. But when we use hypotheses together like that, in practice we assume more than they explicitly state. In other words, something larger than a theory so understood is involved. Each of Newton’s laws is a hypothesis, but his three laws of motion and his law of universal gravitation together do not exhaust what is normally understood by “Newtonian physics”. There is a much larger, fuzzier set of further assumptions and habitual practices that go into the “use” of those hypotheses, such as the assumptions about time and space above. It is that larger entity (than theory understood as a collection of hypotheses) that interests us when we think about the meaning of the terms and the shape of the concepts involved. Since practice is largely guided by what is considered best practice, and best practices are exemplified by notable successes, the word ‘paradigm’ is an obvious contender.

Many of those who are hostile to talk of “paradigm shifts” ask why no definitions of the word ‘paradigm’ seem to be available. I think that misses the point slightly, as the very idea of a paradigm depends on a rejection of definitions, at least as determiners of meaning. If meaning is fixed by use rather than definition, there is no prima facie reason to expect an explicit definition of any word to be even possible, let alone easy to concoct.

The expectation that definitions can settle such matters also misses the insidious nature of differences in meaning. When two people use the same word differently, they may not even notice that there is a difference. They may seem to agree when in fact they differ sharply. For example, two people might seem to agree that on the question of press freedom, “Hugh Grant is disinterested.” But one thinks he is commendably unbiased, while the other thinks he is a bored dilettante whose real motive is to promote his own celebrity status.

The idea of a paradigm isn’t complicated, and it will only seem difficult if it’s unfamiliar. It’s easy enough to imagine something analogous to paradigms in animal behavior and communication. Suppose some garden birds make a distinctive noise whenever a predator such as a cat appears on the lawn. When they make that noise, all of the birds who hear it take flight and stay off the grass for a few minutes. But after a while a smaller group of birds notices that making that noise also makes for an easy meal, because it clears the bird feeders, which are replenished every day by a human. They make the noise whenever a human appears on the lawn. So the same noise has a different meaning when different groups of birds use it – it can mean “there’s a cat in the garden!” or “food’s up!” This is a rudimentary case of the same noise having different meanings because in practice it is used in different ways, and the uses differ because they are guided by different exemplars of success, namely escaping from predators and getting an easy meal.

Differences in the meanings of terms entail that rival theories usually contradict each other in a rather stealthy, oblique way. They are in pragmatic tension rather than open competition. This makes it harder to assess them. Which brings me to the second component of the concept of a paradigm.

Holism

Talk of “holistic medicine” and the like detracts from holism’s roots in “hard science”. The idea was first explained by Pierre Duhem in connection with testing in physics. In order to test a hypothesis, it must imply some observable consequence which actual observation can confirm or fail to confirm. But no scientific hypothesis implies any observable consequence on its own. It can only do so in conjunction with several other hypotheses and assumptions. Thus when an actual observation agrees with prediction, it corroborates all of the hypotheses and assumptions that were used to make the prediction. And when an observation is unfavorable, once again all and any of those hypotheses and assumptions can be called into question. Which one (or plurality of them) is identified as “the culprit” is not a straightforward matter. It depends on how attractive they seem – yes, seem – when compared with each other. This is a complicated, subjective, and indeed an aesthetic matter of taste. The hope that it isn’t a matter of taste is epistemologically naïve, and factually mistaken.

Holism entails that the falsification of a hypothesis is never conclusive, as the simplest versions of Popper’s philosophy of science might suggest. If someone wants to hold on to a favored hypothesis in the face of unfavorable observations, he is free to do so. He can even make a habit out of it, as long as he is prepared to make up new ad hoc hypotheses indefinitely in order to protect his favored hypothesis.

This is where paradigms enter the picture once more. A hypothesis that looks unattractive enough to reject from one perspective can look attractive enough to retain from another perspective. These rival perspectives can be identified as paradigms, because what looks attractive to each of us depends on what we already regard as notable successes. Thanks to holism, a sort of “doxastic inertia” sets in. Those who look at things (especially unfavorable observations) from one perspective have little reason to change their perspective. Tradition – or if you prefer, getting stuck in a rut of habitual thinking – is an inevitable part of science. What we like to think of as theory has much in common with mere ideology.

I have not mentioned history yet, and I don’t intend to look at historical evidence that scientists of the past were often prone to getting stuck in a rut. But I will point out that no serious study of science can overlook the history of science, because thanks to holism, theory choice can’t be made without it. The test of a hypothesis is like a sheepdog trial: we may be interested in the performance of one particular animal (i.e. the dog) but the judgement’s reliability depends on the past performance of several other animals (i.e. the sheep being herded, which may be more or less compliant).

Scientific realism

I hope I have convinced you that the concept of a paradigm is better than just pretentious nonsense. It makes a hash of naïve ideas about meaning, and it blurs the distinction between the contexts of discovery and justification. It may seem as though scientific realism can’t survive the suggestion that science is a free-for-all between reactionary factions.

Naïve ideas about scientific method and the “march of progress” are indeed threatened by the idea of paradigms, but I remain a committed scientific realist. In fact I think realism can only be defended by embracing the idea of paradigms. I see science as a social process whose understanding of success is importantly independent of appeals to authority or consensus. Instead it demands compelling explanations and publicly available, repeatable test results. By actually meeting these demands, the best sciences are nudged uncertainly in the direction of truth. Loosely, we might say that science is “more a subject for blogging than peer review”. If we do not acknowledge the partisanship and deep conceptual divisions that exist in this social process we call science, orthodoxy-protecting mechanisms such as peer review will pervert the enterprise.

The most important factor in that social process is the decision-making of scientists in accepting one theory and rejecting another. For the most part these decisions should be “rational” in that they actually choose the better theory rather than maintaining a blind factionalism.

It seems to me that the greatest scientists are generally aware of the scale of the conceptual changes that have to be made for that complicated social process to deliver the goods through rational decision-making. Some of them have personally considered how things look from more than one perspective, working with alternative concepts, alternative meanings and alternative views of what to count as evidence. For example, Einstein understood how Newton understood space and time and mass at the same time as he was developing his alternative understandings.

So it seems to me to be perfectly acceptable – and definitely meaningful – to sometimes suggest that what’s needed is a “paradigm shift”. When a science has failed to deliver the goods in terms of explanation, prediction, conceptual fecundity, technical by-products, etc., it’s OK to suggest we go “back to the drawing board” and make some much larger conceptual changes. These changes may well be so radical that they are hard to understand from the traditional perspective.

For example, it seems to me that psychology as a science has been a failure. Its understanding of belief and desire seems to treat them as emotional attitudes rather than as mental representations that play an essential causal and explanatory role in behavior. Required: a paradigm shift away from the habits of methodological behaviorism and the broadly positivist assumptions that have done the potential science of psychology such disservice. I’m proposing radical, life-threatening, paradigm-shifting surgery here.

Philosophy

Whatever about paradigm shifts in science, equivocation as a product of conceptual differences is routine in philosophy. For example, some (such as Descartes) understand mental states as essentially conscious experiences, while others (such as Daniel Dennett) understand them as functional states – i.e. as states that causally direct agents in action. A paradigm shift is required to move from one to the other.

Or again, some philosophers (such as Kant) understand moral right and wrong in terms of the motivation of agents, while others (such as Peter Singer) understand them in terms of the consequences of action. Again, two paradigms are involved here, complete with the change in meanings of many terms common to both.

In political philosophy, some (like Hobbes) understand freedom as the ability to get what you want thanks to an absence of external obstacles. Others (like Rousseau) understand freedom as being empowered through wanting the right things. These two concepts are similar enough for both to warrant the name ‘freedom’, but there’s a gulf of incomprehension between them. Something like a paradigm shift is needed to understand “how the other side thinks”.

In my own view, the greatest paradigm shift of all is needed at the very heart of philosophy, in epistemology. The main concern of traditional epistemology is to “refute the skeptic” (i.e. the radical, Cartesian skeptic) by appealing to “internal” foundations to show that we do in fact have “justified” true beliefs about the “outside world”. The concern of “naturalized epistemology” is quite different: it assumes that all animals routinely have knowledge of many aspects of the world we all live in. The aim is not to show that any of our beliefs are “justified” but to show how some beliefs are sustained by reliable processes that connect them and their (usually “external”) subject matter. In Quine’s terminology, naturalized epistemology addresses “conceptual” questions rather than “doctrinal” questions. There is no longer any appeal to foundations, except within limited discursive contexts in which agents call each other’s beliefs into question. But that is a peripheral matter of social epistemology.

Feeling vulnerable?

How much should society do to protect the unusually vulnerable? For example, how much effort should be put into making sure that nut allergy sufferers can avoid nuts? We probably agree that society should insist on food products containing nuts being clearly labelled. But few would say society should ban nuts outright in all food products. Although it’s statistically inevitable that some nut allergy sufferers will die of their condition, and although we could prevent those deaths by making sure that all food production is wholly nut-free, such drastic action would surely “go too far” by placing too great a burden on everyone else.

As a preference utilitarian, I think we should decide such questions by balancing the satisfaction of preferences against the thwarting of preferences of everyone involved.

There are two components to that sort of balancing: how many and how strong the preferences involved are, and how confident we can be that this or that course of action will in fact satisfy or thwart this or that preference. Although allergy to nuts is rare, it is “normal” in the sense that it is a recognized condition forming a fairly distinct category. It is a “typical” condition which would appear as a local “bump” on a distribution graph. We know the effects of eating nuts on those who fall into this category – they are always serious and sometimes fatal. We can also be quite confident that most of these allergy sufferers have a strong preference to continue living a healthy life. So we can be confident that making sure they can avoid nuts will satisfy strong preferences. But we also know that nuts are an important part of many valuable foods, and many more people have a weaker preference for nuts to remain available. (In fact most nut allergy sufferers probably want nuts to remain available to those who do not suffer from the allergy.)

So even with as clear-cut a condition as allergy to nuts, answering the question of how far society should go to protect unusually vulnerable people is a delicate balancing act, involving some quite subjective judgement calls.

With less clear-cut conditions, this balancing act becomes even more delicate and subjective. For example, people whose bones are brittle with osteoporosis are prone to suffer quite unpredictable injuries, from the merely painful to the crippling or life-threatening. These injuries might involve other people, whom we might or might not hold morally responsible for them. If the injuries involved seem inevitable, we may deem the other agents’ involvement to be irrelevant. Suppose an osteoporosis sufferer is politely ushered off a bus, say, but breaks a hip stepping onto the hard pavement. We should say that the hip was bound to break sooner or later anyway, and that the polite fellow-traveler was in no way responsible.

The least clear-cut conditions involve mental vulnerability. Some people may be living their lives “on eggshells”, or on the brink of suicide, and they seem to be “pushed over the edge” by an insult, or personal slight, or invasion of privacy.

Mental vulnerability involves two wild cards, which correspond to the two “components” mentioned above. The first is that it’s much harder to tell how strong the preferences involved really are. The second is that it’s much harder to predict whether preferences are satisfied or thwarted by action such as passing a new law. I’ll deal with them in turn.

The first wild card is that a preference is not simply what we enjoy, but what we opt for in action. Often, we make painful choices – we literally opt for the more painful alternative. We deliberately choose to undergo experiences that we do not enjoy at all. For example, most of us want to know if our spouses are faithful. Finding out that they are not faithful is not at all pleasant. But we opt to find out, because we prefer to know the truth. Much the same applies to education in general – and indeed to any sort of personal growth. Very often, “no pain, no gain”.

However, we often protest most loudly against what we enjoy least rather than what we opt for last. That is because the very act of protesting can affect the outcome. Children who wail loudly about the horrors of eating broccoli might persuade their parents to not insist that they eat broccoli. Transgendered people who complain in the strongest terms about use of the wrong pronoun might be engaged in an act of persuasion rather than honestly expressing the strength of a preference. Bereaved parents may hope journalists will be less invasive by expressing the grief they feel for the loss of a child as if it were the anguish of a breach of privacy. And so on.

I would go so far as to say that we are systematically misled about the actual strength of preferences by the vehemence with which people tend to express them.

Now for the second wild card in balancing preferences for mental (as opposed to physical or material) well-being. It is very hard to predict whether a given act will result in the satisfaction or thwarting of such preferences. The mind is complicated, and so is the law. It is very hard to predict the effects of any law that affects minds. So a cautious conservatism is appropriate when we consider changing laws that we already know work tolerably well in practice.

For those reasons, I would argue against any law that restricts press freedom in the hope of protecting the mentally vulnerable. People who are mentally vulnerable are like people who suffer from osteoporosis, only more so. Their condition is even less “normal” in the sense that each mental vulnerability is unique, unlike more “typical” conditions such as allergy to nuts. Although it sounds callous, we might have to say “the harm was bound to happen sooner or later, and the agents who caused the harm are not morally responsible for it”.

Even if you do not agree with that conclusion, I hope it’s clear that I remain a preference utilitarian in reaching it.

The minimal moral position

Trivially, we act in ways that tend to satisfy our own preferences. Preferences are just what we prefer, and what we prefer is just what we would choose if we were able to act freely.

The satisfaction of a preference is an “objective” feature of action. For example, if I want my lover to be faithful to me, that preference is satisfied if and only if my lover actually is faithful to me. It is satisfied even if I think (mistakenly) that she is not faithful to me. It is thwarted if she is not faithful to me even if I think (mistakenly) that she is faithful.

Obviously, satisfaction of preferences has little to do with experienced pleasure. Thus preference utilitarianism is sharply distinct from traditional hedonistic utilitarianism (of the sort promoted by Jeremy Bentham).

Preference utilitarianism understands “the right” in terms of “the good”. It’s good for oneself when one’s own preferences are satisfied. It’s good for other agents when their preferences are satisfied. Morally right acts are those that promote the good of agents in general. Of course this is usually a matter of compromise between competing goods.

Since all genuine agents have preferences, and all genuine agents can act in ways that satisfy or thwart preferences of agents in general, the concepts of moral rightness or wrongness apply to the action (and inaction) of all genuine agents. This includes animals.

The meaning of the word ‘right’ in preference utilitarianism is different from the meaning of the word ‘right’ in other moral theories. This is in keeping with the broader truth that the meaning of theoretical terms depends on the theory they occur in, and on the way that theory is applied in practice. In other words, “meaning is use”.

This can cause some equivocation, as Kuhn recognized in The Structure of Scientific Revolutions. Suppose one person uses Newtonian mechanics, and another person uses Special Relativity. Then they use the word ‘mass’ in different ways. Its meaning differs between them. The first person takes mass to be an intrinsic feature of matter. The second person takes it to depend on the reference frame, and thinks it has a closer connection to energy than matter. Analogously, the word ‘right’ differs between a preference utilitarian and anyone who holds a rival moral theory.

Despite its verbose name, preference utilitarianism is probably the simplest moral theory there can be, involving the least commitment to other moral concepts such as virtue, rules, or culpability. It thus deserves to be called the minimal moral position.

Never forget the “struggle for existence”

I often think that those who say we face “climate change catastrophe” mustn’t really understand the most basic tenet of evolutionary theory: that life involves a struggle for existence.

Consider, for example, what the Sunday Times television guide says about tonight’s wildlife documentary on BBC2, The Polar Bear Family and Me: “polar bears are the world’s largest carnivores, but global warming is making it more and more difficult for them to find food”.

In fact, individual polar bears have always found it difficult to find food. Whenever less food was available, their numbers fell, as more of them succumbed to various causes of death. Most such causes have always been related to food shortage: diseases of malnutrition, exhaustion through having to travel long distances to find food, attacks by other hungry polar bears, even killing at the hands of human beings they wouldn’t have approached if they hadn’t been so hungry.

Whenever more food was available, their numbers rose – up to the point at which food was difficult to find again. That brings us right back to the situation described in the previous paragraph. Polar bear numbers are not decided by ancient “polar bear wisdom” with which they thoughtfully control their own numbers, nor is there a “delicate balance of nature” in the Arctic that perfectly suits polar bears. The issue is always settled the hard way – by food shortages and by death.

As Arctic ice melts, polar bear numbers may be rising or falling – and no one seems to know with much confidence which. Polar bears are good swimmers, and they get most of their food in the form of other swimming animals such as seals. It might be that more open water has the effect of increasing the availability of food – a situation that sustains larger numbers of polar bears. Or it might be that more open water allows more polar bear competitors into their “turf”, which help to use up the food supply. Or that less ice means fewer air-holes where seals can be caught. These are situations that sustain smaller numbers of polar bears. But fewer bears means fewer competitors for each individual bear, which makes finding food slightly less difficult. Which reverses things a bit. Via many swings and roundabouts of fortune, a sort of balance is struck. It isn’t a balance that arises through design, or anything like it. It’s a balance that results from the “chips falling where they may”.

Whichever way the chips may fall, the difficulty of finding food remains roughly the same. The degree of difficulty is always approximately a matter of life and death.

I’m not sure why so many climate alarmists seem to be unaware of this situation, which exists pretty much everywhere in nature. It might be that their area of specialization has nothing to do with evolution, which makes them no better qualified than any other layperson to guess the effects on life of a changing climate. Or it might be that the insight Darwin credited Malthus for bringing to his attention has been largely forgotten in today’s attitudes to “ecosystems”. These attitudes assume that there is something akin to design in nature, and suffering gets much worse when a supposed “way things were meant to be” is disrupted.

Wherever there’s life, there’s a struggle for existence. Whether sea levels rise or fall, whether ice caps retreat or advance, whether the climate warms or cools, whether the earth is beset by floods or droughts, even if everything stays exactly the same – living things have to battle against each other and their environment as a matter of life and death. There’s a lot of suffering in all that strife, and changes are just as likely to bring a little relief from that vast tapestry of suffering as to make it a little worse.

Were Hume, Kant, Mill, Darwin, Heidegger racists?

Most European thinkers of earlier centuries thought that “savages” lived more primitive lives than Europeans. At the very least, they thought that “savage” culture was less highly developed than European culture, and many believed that “savages” themselves were racially “inferior”, so that they were more like children than adults. For example, JS Mill opposed paternalism in general, but made exceptions of children and “those backward states of society in which the race itself may be considered as in its nonage”.

Were these earlier thinkers racists? I don’t think so. The word ‘racism’ is often applied to the belief that one race is “inferior” to another race, and by that criterion some or all of the above-mentioned thinkers would count as racists. But I think the word ‘racism’ should be strictly reserved for a moral failing: refusing or neglecting to give due consideration to some individuals’ interests because they belong to a particular race.

Racism is motivated by malice rather than incorrect information. Our attention should not be focused on beliefs, which are “afferent” states of mind in being normally shaped by states of the world outside the head via perception. Instead, we should focus our attention on volitional states such as desires, which are “efferent” states of mind in that they normally shape states of the world outside the head via action. Racism is primary caused by bad attitudes and unjust sentiments – it’s a culpable willingness to disregard interests through action or inaction. This is different from sincerely believing something to be a fact. Having a mere belief might be an epistemic failing, especially if the belief is false, but it can’t really be a moral failing.

Why not? Let’s accept that as a matter of fact, in the real world, no human race is “inferior” to any other race. Please be absolutely clear that I do not mean to question that fact. But now let us imagine an alternative world, in which we discover a long-lost race of humans who, alas, really are “inferior” to us in some respect or other. This is a wholly imaginary world, but it should be quite easy to imagine, because we already believe something akin to this about dogs. Statistically, Chihuahuas are “inferior” to Great Danes in respect of size, and Red Setters are “inferior” to mongrels in respect of intelligence. The “inferiority” of one canine race compared to another in no way justifies ill-treatment of members of the “lesser” race, in fact if anything it helps to justify special care and concern for the less able ones to protect their own interests.

In this imaginary world, a rational, well-informed person would adopt the belief that our long-lost race are “inferior” to other human races, in whichever respect we were imagining them as being statistically “inferior”. Note that in this imaginary world the adopted belief is true. But in rationally adopting such a belief, well-informed people become “racists”, according to the criterion used above to deem Hume, Kant, Mill, Darwin et al to be “racists”.

Therefore, that criterion must be wrong. No external fact about the world could possibly turn a rational, well-informed person into a racist. The mistaken criterion is counting a mere belief that one race is “inferior” to another as the mark of racism.

As far as I know, the alternative criterion (suggested already above) was first proposed by Peter Singer in his book Practical Ethics. It does not depend on belief: instead, racism is understood as failure to give equal consideration to some individuals’ interests because they belong to a particular race. From what I know of their lives, Singer’s alternative criterion exonerates Hume, Kant, Mill and Darwin of the charge of racism. As far as I know, none of them did anything to mistreat members of other races. But it does not exonerate Heidegger of that charge: Heidegger was instrumental in getting Husserl removed from his professorship at the University of Freiberg on the grounds that he was Jewish.

It isn’t all that surprising that thinkers of earlier centuries assumed “savages” were “inferior” in some ways to Europeans. At the time, little was known of the sophistication of their cultures. We now know that there is no such thing as a “primitive” human language, and that technological advance is a poor indicator of cultural richness. But thinkers of earlier centuries had fewer opportunities to find out about other cultures.

It strikes me as especially unfair to use the mistaken criterion of racism against Hume. More than anyone, Hume helped to clarify the difference between “is” and “ought”, and the relation between belief and desire as the component mental states that explain action. To accuse him of racism on the grounds that he had a “bad belief” is not only to use a mistaken criterion of racism, but also to overlook the insights Hume himself contributed to our understanding of action and morality.

The mistaken criterion judges belief in moral terms instead of epistemic terms. That is typical of a recent wave of intolerance, which I call intolerance of creed. I have written a little more about it here.

Sticks and stones

I got into an enjoyable Twitter debate recently with another philosopher over this old nursery rhyme:

Sticks and stones will break my bones
But words will never harm me.

I think there’s a lot of wisdom in this old rhyme. (Or at least this early version of it – a later version substitutes ‘hurt’ for ‘harm’, which affects its meaning.) Construed as advice to children (or Irish politicians) it says: “if you want to be like me, don’t take offence too easily, or assume you have actually been harmed when you have merely been insulted. Try to not let your feelings get hurt too much by what people say.”

I like that, because I think people should put much more effort into not taking offence than not giving offence. What we call “offensive” is often nothing worse than a moral opinion that differs from our own moral opinions. Because it conflicts with our morality, we think it’s immoral, and that’s often a cue for condemning it and ostracizing its utterer. But it’s good for us to hear opinions that differ from our own, especially different moral opinions, because we tend to avoid listening to them. We may not smile sweetly as we hear these opposed opinions, but the widening of our horizons is salutary.

Even if what is said is motivated by genuine malice, and causes genuine mental anguish, that is not the same as actually being harmed. Personally, I would prefer to know how much someone dislikes me, even – in fact especially – if it hurt my feelings to find out. It’s usually better to know “where we stand” with others than to be cocooned in cotton wool where everyone plays “nice” and no one says what they really feel. If I really want someone to like me, I want to know what they really think of me, even if they don’t like me. We are usually harmed more by dishonesty than by honesty.

Most people tend to like those who are like them, and to dislike those who differ from them. So the ones who are subject to verbal abuse are often unusual in some way – they have might unusual talents, unusual opinions, unusual appearance, or unusual mannerisms. They may belong to another race, or have a minority sexual preference. If we try too hard to avoid causing offence instead of taking offence, it can foster an atmosphere in which differences are “not to be mentioned” – they’re swept under the carpet. But the great political “pride” movements celebrate differences rather than sweeping them under a carpet. If we insist on prohibitions or even inhibitions on mentioning difference, we may unwittingly substitute “black shame” for black pride, or “gay shame” for gay pride. I think that would be a very bad thing.

“Sticks and stones” can also be understood as saying something interesting about language and agency. When we act, a complicated causal chain links our intentions with the effects of our action. For example, inside an arsonist’s mind-brain are beliefs and desires that constitute his intention to set fire to a building. These cause activity in motor neurons, which move body parts, which result in the pouring of gasoline and the striking of a match, and so on. Many conditions are together sufficient for the fire, including the presence of oxygen. Some of them are more relevant than others if we are trying to prevent arson. To focus on the presence of oxygen – or even on the availability of matches – as “the” relevant, principal or culpable part of the cause of the fire is to focus on the wrong condition.

That’s because we can do nothing at all about the presence of oxygen, and the non-availability of matches wouldn’t be much help, as an arsonist could easily fall back some other – possibly more efficient – means of lighting fires. In that respect, we might contrast matches with assault rifles. Banning matches would probably do nothing to prevent arson, whereas banning assault rifles would probably help to reduce the scale of massacres of the sort seen recently in Newtown, Connecticut.

The “sticks and stones” rhyme reminds us that words are more like matches to an arsonist than assault rifles to a crazed gunman. It is an “error of focus” to think that words themselves are “weapons”.

Value relativists and value absolutists

I’m increasingly coming to see a wide gulf between people who see values as relative to agents and those who see values as independent of agents. We might call the first sort of person a “value relativist” and the second sort a “value absolutist”, but we must be careful to avoid assuming that value relativists think there are no psychological facts about how much an agents values something. I love spinach, in other words I value it highly among foods, whereas you may hate spinach. The value of spinach is relative, as it differs between us, but it’s a truth that I value it highly, and as a truth this is “absolute”.

Maybe the distinction between value relativists and value absolutists is completely obvious to everyone already. – I confess it hasn’t been obvious to me till quite recently.

Practically everyone thinks “beauty is in the eye of the beholder” – it’s just whatever is appreciated as beautiful, so it’s relative to whoever appreciates it. Value relativists go further and say that the same applies to all values: something is only valuable because some agent or other regards it as valuable, in other words he regards it as worth pursuing in action. And an agent only regards something as worth pursuing if he or she in fact pursues it, however attenuated their pursuit may be. It’s valuable to him because he prefers it. His choices reveal his preference for it.

Value relativists – like me – tend to be opposed to paternalism. ‘Paternalism’ is the word for forcing people to do things “for their own good”. For example, paternalists don’t just oppose smoking because it harms passive smokers, but because it harms smokers themselves by damaging their health. Value relativists who oppose paternalism think damage to the smoker’s health only counts as harm inasmuch as the smoker pursues good health. And he can’t pursue good health with all that much ardour if he smokes! So if harm is involved here, it results from some sort of internal conflict of desire, or else from ignorance on the part of the smoker. In the first case he somehow both wants good health and at the same time doesn’t care much about good health, perhaps as a result of addiction. In the second case he wants good health but isn’t aware that smoking is bad for health.

So two approaches are open to the paternalist: he can openly defend one value over another – such as good health over the pleasure of smoking – by assuming that values are absolute, and therefore can be ranked independently of individual agents. Or he can invoke his supposedly greater knowledge than that of the agent. As a paternalist, he regards himself as entitled to persuade not just through the use of reasons, but through the use of force.

Paternalists tend to avoid overt value absolutism because it leaves them with the problem of saying where absolute values come from, and why those who do not share such values should adopt them. Instead, paternalists nearly always focus on the supposed ignorance of agents they would apply coercion to. That is, they tend to defend coercion by saying that an agent often doesn’t know what’s in his own best interests. In other words, they argue that the agent has false beliefs about what is good for him.

Well, it is certainly true that everyone has some false beliefs. Not so long ago cigarettes were advertised with doctors’ endorsements as being good for the health. False beliefs were involved there, because cigarettes are in fact bad for the health. Paternalists in effect claim to have knowledge that others don’t have, just as all of us nowadays have knowledge that doctors didn’t have a hundred years ago.

Is it legitimate to use force against ignorance in this way? I don’t think so, for several reasons. First, any attempt to force someone to act in a way his own internal motivation does not underwrite is morally questionable. The agent might even regard the forced behavior as morally forbidden, in which case the paternalist is like a missionary forcing his weaker charges to act “against their conscience”. This use of force undermines autonomy. Second, attempts to impart beliefs by means of force are psychologically questionable: the aim here is a sort of “brainwashing”, and in the real world any such aim is unlikely to succeed. “Brainwashing” is mostly a fantasy from spy movies. Third, attempts to impart knowledge by coercion are epistemologically questionable. Knowledge is generally understood as true belief sustained by rational reasons and/or reliable processes, and yielding to force can hardly be counted as either. Furthermore, as JS Mill eloquently argued in On Liberty, it is always possible for any of us to be mistaken, and to presume to decide matters for others is in effect to assume one’s own infallibility. Which is ridiculous, because no one is infallible, including the Pope.

This doesn’t only apply to paternalism, but to any attempt to force behaviour, beliefs or knowledge on the as-yet unconverted. So-called “skeptics” who would override parents’ judgements by forcing them to have their children vaccinated or operated upon would do well to reflect on the threefold evils just described.

As I said, despite dubious ethics, dubious psychology and dubious epistemology, paternalists are generally more comfortable treating the discussion as being about true or false belief rather than about desires and values, which are neither true nor false. Value relativists should decisively move the discussion back into the realm of values, where it belongs, because this isn’t really a factual issue. That is, it’s not an “is” question of whether I know what’s good for me, but an “ought” question of what I want. If I want to smoke, no one can gainsay that, because in effect I create my own values.

Let’s reject the hypocrisy of paternalists who claim to act with more knowledge or better beliefs than the people they coerce. They should be seen for what they are: old-fashioned absolutists who are trying to impose their supposedly absolute values on others.

The value-relativist-versus-absolutist divide doesn’t just emerge in paternalism. It also lies behind Isaiah Berlin’s famous two concepts of freedom. On the one hand, there is “negative” freedom, the ability to do what you actually want to do by virtue of an absence of external obstacles. On the other hand, there is “positive freedom” – if it can be called “freedom” at all – which is essentially being “empowered” by wanting the right things. But the only way there can be “right things” independent of agents actually pursuing them is if values are absolute. These absolute values are skeletons in the closets of those who assume a positive concept of freedom as well as paternalists.