Archive for the ‘epistemology’ Category

Oh, you can't help that.

Sunday, 24 February 2013

When I went for dinner, I encountered someone slipping into madness. He was polite and pleasant, but going mad.

He was fixated upon improving the world globally. I don't know whether he were going mad because he wanted somehow to improve the world globally, or were obsessively focussed upon improving the world globally because he was going mad; my guess would be that the aspiration and the madness were each feeding upon the other. In any case, he was writing and drawing chaotically with bright marker on loose sheets of paper, and trying to engage random people in his efforts to figure-out How to Save the World. I was a random person.

I sometimes talk to madmen. No less or more comes out of my conversations with them than those with most other people. In this case, I wasn't much occupied at the time with anything else but eating.

He found talking with me to be discouraging. It's not that I don't think that the world might be saved, or that I might do something towards that end. It's that I think that most people, mad or otherwise and including him, fundamentally misconceive the nature of the problem and the potential methods of solution. The Good isn't subject to arithmetic; concern for others is no guarantee against actions that produce horrific outcomes; the meek are capable of over-estimating what can typically be done and thence what they can do; and any attempt to call a convention of the best-and-brightest in each field would attract a different sort (or none at all).

He took his madness to a different table.

Voigt's Zahl und Mass

Thursday, 17 January 2013

I am making freely available a PDF file of Zahl und Mass in der Ökonomik: Eine kritische Untersuchung der mathematischen Methode und der mathematischen Preistheorie (1893), by Andreas Heinrich Voigt, which is encoded as text rather than as graphics.

I wanted a transcription for my own purposes — a resource that might be used for a paper on which I am working — and decided that I should make it available to other researchers, and do a proper job of its assembly.

Up-Date (2020:04/09): I have made the first-pass of an English-language translation as Number and Measure in Economics: A Critical Examination of Mathematical Method and of Mathematical Price Theory.

Lying Liars

Wednesday, 26 September 2012

Without some basis in fact — without at least a basis in the recognized structure of reality on some general level — fiction would instead be gibberish. And most fiction involves considerable factual elements — it describes a familiar world and may even involve passing reference to specific, familiar, real-life persons. Some fiction makes more than passing reference.

Satire normally involves more literal truth than does ordinary fiction. because some element of the real-world is a target,[1] perhaps for purposes of commentary or perhaps merely as an opportunity for absurdity.

Harlan Ellison has sometimes asserted that he might be called a paid liar. He does, after all, state things as if they were true that he knows to be false. But his fiction doesn't quite fit the ordinary notion of lying. Under this notion, to lie is to make a statement which one knows to be false, and to make it with intent to deceive. Ellison makes false statements, but presumably expects his readers to identify the fiction as such, and hence not to be deceived. Backing-up, the key is not merely that the false statement is presented in just any way as if true, but in a manner that one might hope and expect to be presuasive. Even if we should insist that any statement that one knows to be false would constitute a lie, clearly there is an important difference between willfully false statements which are hoped to mislead and those which are expected to be treated as falsehoods.

Sometimes the author of fiction relies upon immediate context to indicate the work as fiction — the work is wrapped (as by the label novel). In other cases, the content is sufficiently at odds with expectations that it would not be believed by anyone with at least an ordinary degree of rationality.

Satiregenuine satire — reveals its fictional content, as distinct from its factual content, in that the fictional component is presented to amuse by violating established expectations, while the non-fictional component does not itself seem an attempt to be funny.

Unfortunately, this convention, like many social institutions, is not consciously discerned by most of those who rely upon it, and that lack of awareness creätes an opportunity to use ostensible satire as a vehicle for deception. If one insinuates false-yet-unamusing assertions within a work, these may be taken as part of the factual component by a large share of the audience. If someone should protest that false statements are being presented as fact, that someone can be dismissed as ignoring that the work be satirical. (This dismissal will be more effective if the work also has falsehoods that few would take seriously.) Few people will be positioned to respond that genuine satire does not present deliberate falsehood as fact is presented. And so purported satire becomes a vehicle for deliberately false statements made with the intent to deceive. Lying is labelled satire, and ordinary defenses fail against it.

The use of ostensible satire to lie has been very popular since the rise of the Baby Boom Generation. But it's not as if one can give a public lecture on how to lie in this manner without undermining the device. In consequence, a lot of people are using it to lie without quite understanding how and why it works; others, more oblivious, have concluded that all these falsehoods really have been amusing, and imagine that when they too string-together falsehoods, these must likewise be amusing.

Yester-day and to-day, there was a fiasco on the American political left. First, Roger Simon made what seems an attempt to satirize the circumstances of Paul Ryan. The attempt was perhaps sincere, but it's hard to find much funny in it. And it was taken to be mostly factual by some of Simon's own tribe, including various prominent members. Tobin Harshaw is blaming this confusion on the literalism of Americans, but the primary cause is not so much literalism as it is the degeneration of the concept of satire.

(Of course, I expect those on the left who believed Simon's claims to attempt to excuse themselves by claiming that the political right has become so absurd that it is practically impossible to tell fact from fiction.)


[1] The real thing satirized may be a story or idea of something that is itself unreal; but, without some real referent (such as a story or idea), one does not have satire.

Profitless Discourse

Saturday, 25 August 2012

Yester-day or this morning, I encountered yet another instance of argumentation over what Keynes really meant in The General Theory of Employment, Interest and Money. I don't plan to labor here what I believe that Keynes intended to say; rather I want to draw attention to something about many of these arguments over the meaning or intention of some works.

When I consider the meaning or intention of the works of people who in turn attempt to interpret something else, I regard my interpretation of their interpretation as concerned with thought as such; I am thinking about how someone is or was thinking; my interpretation might be informed by my own understanding of the subject about which they thought, but the interpretation is of their thought.

It's good to know what any one of these people intended to say; it's good to know what they actually did say (whether intended or not); but it's almost always more desirable to have best approximations of the truth about which they ostensibly spoke than to have best approximations of the claims that they intended to make. It is a fortunate error when someone gets closer to the truth about the underlying subject by misinterpretting the work of someone who was mistaken about that subject. And, if one simply doesn't know which interpretation to make, but finds the truth amongst the possibilities, then there isn't even a positive misinterpretation.

It's different when one is attempting to interpret words which themselves impose rules, as in the cases of legislation, of formalized games, or of works of fiction. In those cases, the words creäte the relevant reälity.

Some people believe in prophets. By prophet I do not mean simply a forecaster, but a person through whom G_d (or something like G_d) speaks (perhaps about the future, but perhaps not). Amongst ostensible prophets I would count those believed to have a direct knowledge of external reälity, unmediated by the senses. Unsurprisingly, I do not believe in prophecy.

But, if one does believe in prophecy, then it makes sense to concern oneself with its meaning as-if resolving its meaning were the same thing as getting a best approximation of the underlying subject — because, indeed, prophecy would be just that best approximation. Of course, I take exception to the presumption that this-or-that work were holy scripture; but I take rather greater exception to an unacknowledged presumption to such effect.

And that brings me to what is so wrong with so many of the arguments about what Keynes really meant: Too many of the participants are perfectly sure that, whatever he really intended, it must have been right, and that it is for this reason that we must discover what he intended. One sees even more of this sort of thinking in debates about what Marx really meant. And I've seen basically the same thing in discussions about what Ayn Rand really meant. These three (and various others) are unacknowledgedly being treated as prophets. As far as I'm concerned, in such cases discussion has run off the rails.

Now, there are those who would insist that Marx, by way of dialectical reasoning, or Rand, by way of thorough-going objectivist epistemology, could apprehend things so very clearly that we should just take for granted that, indeed, whatever they said must be right. But those propositions each would strike me as highly dubious even if I didn't already possess what I regard as counter-proofs. (Certainly there would seem to be a claim of personal infallibility or a fallible claim on the part of whomever were testifying to the infallibility of Marx or of Rand.) And I've not encountered even that much of an argument for treating Keynes as if he were a prophet. (I have seen his economic intuïtion championed by reference to his having made a fortune investing in stocks, but I wasn't much persuaded by this argument even before I learned that, earlier, he had faced financial ruin through such investments, and been rescued by his father.)

There Are Worse Things, but…

Friday, 10 August 2012

[This entry may be superfluous, in that people who fall for any of the fallacies discussed are unlikely to read the entry, people who employ one of the fallacies are unlikely to reform if they do read the entry, and people who recognize that fallacies are involved may not see much use to analyzing them.]

I often encounter an argument, whose form is

P does A1;
A2 is better than A1;
therefore it would be acceptable/desirable for P to do A2.

It's easy to find P, A1, and A2 such that the intuïtion recoils from the conclusion that

it would be acceptable/desirable for P to do A2.

and, in the face of such intuïtions, most people will acknowledge the non sequitur (acknowledged or otherwise) in the argument. We could even add a further premise, that

P ought to be persistently active (if not necessarily in their present manner).

and still find P, A1, and A2 such that the intuïtion recoils from that conclusion. (Consider that non-profit institutions do facilitate child abuse, and that child abuse is worse than many other things that are still themselves unacceptable.)

Yet one encounters this argument frequently with P as the state, A2 is something that somebody wants done (such as space exploration) and A1 is something disturbing that the state is doing or has done recently.

A variation on this can be found with form

P1 approves when P2 does A1;
A2 is better than A1;
therefore P3 should not object to P2 doing A2.

A non sequitur is evident in cases where P3 is plainly no subset of P1; but this argument is often presented in a manner so as to obscure a distinction, as when an everyone or a no one is used as-if loosely (which is to say inaccurately) in the first premise, but P3 is some person or group of persons who aren't actually in the set labelled everyone or actually are in a non-empty set labelled no one.

However, this argument is fallacious even when P3 simply is P1. There may in fact be an incoherency in approving of A1 while objecting to A2, but that inconsistency could be resolved by changing one's position on A1. For example, if forcing people to pay for birth control is better than forcing them to pay for war with Iraq, then perhaps someone who objects to the former should cease approving of the latter, rather than embracing the former.

(And resistance from P1 to coherence wouldn't itself license A2 when A2 victimizes yet some additional party P4. One doesn't force atheists to distribute copies of Al Qu'ran on the grounds that neoconservatives would object to such distribution even while supporting worse things.)

Sometimes one even sees an argument of the form

P1 does not object when P2 does A1;
A2 is better than A1;
therefore P3 should not object to P2 doing A2.

Variations of this even go so far as to replace objection with more active opposition.

P1 does not actively oppose P2 doing A1;
A2 is better than A1;
therefore P3 should not actively oppose P2 doing A2.

The appeal for those who present these arguments is that, if they were accepted, then almost no A2 could be practicably challenged, as the objector could be dismissed for not having tackled each and every greater evil.

Of course, if this argument held, then it could virtually always be turned around against the claimant. For every P2 and A2, there is a P'2, A'1, and A'2 such that A'2 is the supposed ill addressed by A2, P'2 effects A'2, and A'1 is some greater ill effected by P'2. In other words, even if A2 were good, it would itself almost never address the greatest evil, so that there would always be something else that one would be required to do before ever getting to A2.

Just Pining

Sunday, 5 August 2012

On Sunday, 27 May, I received a pair of e.mail messages announcing formal acceptance for publication of my paper on indecision, and I ceased being braced for rejection. From 15 June, Elsevier had a version for sale on-line (first the uncorrected proof, then the corrected proof, now the version found in the journal). The issue itself (J Math Econ v48 #4) was made available on-line on 3 August. (I assume that the print copies will be received by subscribers soon.)


Reader may recall that, not very long ago, I was reading A Budget of Paradoxes by Augustus de Morgan, and that when de Morgan used the term paradox he did not use in in the sense of an apparent truth which seems to fly in the face of reason, but in the older sense of a tenet opposed to received opinion. De Morgan was especially concerned with cases of heterodoxy to which no credibility would be ascribed by the established mainstream.

Some paradoxes would later move from heterodoxy to orthodoxy, as when the Earth came to be viewed as closely approximated by a sphere, and with no particular claim to being the center of the universe. But most paradoxes are unreasonable, and have little chance of ever becoming orthodoxy.

I began reading de Morgan's Budget largely because I have at least a passing interest in cranky ideas. But reading it at the time that I did was not conducive to my mental health.


Under ideal circumstances, one would not use a weight of opinion — whether the opinion were popular or that of experts — to approximate most sorts of truth. But circumstances are seldom ideal, and social norms are often less than optimal whatever the circumstances. When confronted with work that is heterodox about foundational matters, the vast majority of people judge work to be crackpot if it is not treated with respect by some ostensibly relevant population.

In cases where respect is used as the measure of authority, there can be a problem of whose respect is itself taken to have some authority; often a layering obtains. The topology of that layering can be conceptualized in at least three ways, but the point is that the layers run from those considered to have little authority beyond that to declare who has more authority, to those who are considered to actually do the most respected research, with respected popularizers usually in one of the layers in-between. In such structures, absurdities can obtain, such as presumptions that popularizers have themselves done important research, or that the more famous authorities are the better authorities.


As I was reading de Morgan's book, my paper was waiting for a response from the seventh journal to which it had been offered. The first rejection had been preëmptory; no reason was given for it, though there was some assurance that this need not be taken as indicating that the paper were incompetent or unimportant. The next three rejections (2nd, 3rd, 4th) were less worrisome, as they seemed to be about the paper being too specialized, and two of them made a point of suggesting what the editor or reviewer thought to be more suitable journals. But then came the awful experience of my paper being held by Theory and Decision for more than a year-and-a half, with editor Mohammed Abdellaoui refusing to communicate with me about what the Hell were happening. And this was followed by a perverse rejection at the next journal from a reviewer with a conflict of interest. Six rejections[1] might not seem like a lot, but there really aren't that many academically respected journals which might have published my paper (especially as I vowed never again to submit anything to a Springer journal); I was running-out of possibilities.

I didn't produce my work with my reputation in mind, and I wouldn't see damage to my reputation as the worst consequence of my work being rejected; but de Morgan's book drew my attention to the grim fact that my work, which is heterodox and foundational, was in danger of being classified as crackpot, and I along with it.


Crackpots, finding their work dismissed, often vent about the injustice of that rejection. That venting is taken by some as confirmation that the crackpots are crackpots. It's not; it's a natural reäction to a rejection that is perceived to be unjust, whether the perception is correct or not. The psychological effect can be profoundly injurious; crackpots may collapse or snap, but so may people who were perfectly reasonable in their heterodoxy. (Society will be inclined to see a collapse or break as confirmation that the person were a crackpot, until and unless the ostensible authorities reverse themselves, at which point the person may be seen as a martyr.)


As things went from bad to worse for my paper, I dealt with how I felt by compartmentalization and dissociation. When the paper was first given conditional acceptance, my reäction was not one of happiness nor of relief; rather, with some greater prospect that the paper would be published, the structure of compartmentalization came largely undone, and I felt traumatized.


Meanwhile, some other things in my life were going or just-plain went wrong, at least one of which I'll note in some later entry. In any case, the recent quietude of this 'blog hasn't been because I'd lost interest in it, but because properly to continue the 'blog this entry was needed, and I've not been in a good frame-of-mind to write it.


[1] Actually five rejections joined with the behavior of Abdellaoui, which was something far worse than a rejection.

Thinking inside the Box

Sunday, 4 March 2012

I recently finished reading A Budget of Paradoxes (1872) by Augustus de Morgan.

Now-a-days, we are most likely to encounter the word paradox as referring to apparent truth that seems to fly in the face of reason, but its original sense, not so radical, was of a tenet opposed to received opinion. De Morgan uses it more specifically for such tenets when they go beyond mere heterodoxy. Subscribers to paradox are those typically viewed as crackpot, though de Morgan occasionally takes pains to explain that, in some cases, the paradoxical pot is quite sound, and it is the orthodox pot that will not hold water. None-the-less, most of the paradoxers, as he calls them, proceed on an unsound basis (and he sometimes rhetorically loses sight of the exceptions).

A recurring topic in his book is attempt at quadrature of the circle. Most of us have heard of squaring the circle, though far fewer know to just what it refers.

I guess that most students are now taught to think about geometry in terms of Cartesian coördinates,[1] but there's an approach, called constructive, which concerns itself with what might be accomplished using nothing but a stylus, drawing surface, straight-edge, and compass. The equipment is assumed to be perfect: the stylus to have infinitesimal width; the surface to be perfectly planar, the straight-edge to be perfectly linear, and the pivot of the compass to stay exactly where placed. The user is assumed able to place the pivot of the compass exactly at any marked point and to open it to any other marked point; likewise, the user is assumed to be able to place the straight-edge exactly touching any one or two marked points. A marked point may be randomly placed, or constructed as the intersection of a line with a line, of an arc with an arc, or of an arc with a line. A line may be constructed by drawing along the straight-edge. An arc may be constructed by placing the compass on a marked point, opening it to touch another marked point, and then turning it. (Conceptually, these processes can be generalized into n dimensions.)

A classic problem of constructive geometry was to construct a square whose area was equal to that of a given circle. Now, if you think about it, you'll reälize that this problem is equivalent to arriving at the value of π; with a little more thought, you might see that to construct this square in a finite number of steps would be equivalent to finding a rational value for π. So, assuming that one is restricted to a finite number of steps, the problem is insoluable. It was shown to be so in the middle of the 18th Century, when it was demonstrated that π were irrational.

The demonstration not-with-standing, people continued to try to square the circle into de Morgan's day, and some of them fought in print with de Morgan. (One of them, a successful merchant, was able to self-publish repeatedly.) De Morgan tended to deal with them the way that I often deal with people who are not merely wrong but are arguing foolishly — he critiqued the argument as such, rather than attempting to walk them through a proper argument to some conclusion. I think that he did so for a number of reasons. First, bad argumentation is a deeper problem that mistaken conclusions, and de Morgan had greater concern to attack the former than the latter, in a manner that exhibited the defects to his readers. Second, some of these would-be squarers of the circle had been furnished with proper argumentation, but had just plowed-on, without attending to it. (Indeed, de Morgan notes that most paradoxers will not bother to familiarize themselves with the arguments for the systems that they seek to overthrow, let alone master those arguments.) Third, the standard proof that π is not rational is tedious to mount, and tedious to read.

But de Morgan, towards justifying attending as much as he does specifically to those who would square the circle, expresses a concern that they might gain a foothold within the social structure that allowed them to demand positions amongst the learnèd, and that they might thus undermine the advancement of useful knowledge.[2] And, with this concern in-mind, I wonder why I didn't, to my recollection, encounter de Morgan once mentioning that constructive quadrature of the circle would take an infinite number of operations; he certainly didn't emphasize this point. It seems to me that the vast majority of would-be squarers of the circle (and trisectors of the angle) simply don't see how many steps it would take; that their intuïtion fails them exactly there. And their intuïtion is an essential aspect of the problem; a large part of why the typical paradoxer will not expend the effort to learn the orthodox system is that he or she is convinced that his or her intuïtion has found a way around any need to do so. But sometimes a lynch-pin in the intuïtion may be pulled, causing the machine to be arrested, and the paradoxer to pause. Granted that this may not be as potentially edifying to the audience, but if one has real fear of the effects of paradoxers on scientific pursuit, then it is perhaps best to reduce their number by a low-cost conversion.

De Morgan's concern for the effect of these géomètres manqués might seem odd these days, though I presume that it was quite sincere. I've not even heard of an attempt in my life-time actually to square the circle[3] (though I'm sure that some could be found). I think that attempts have gone out of fashion for two reasons. First, a greater share of the population is exposed to the idea that π is irrational almost as soon as its very existence is reported to them. Second, technology, founded upon science, has got notably further along, and largely by using and thereby vindicating the mathematical notions that de Morgan was so concerned to protect because of their importance. To insist now that π is, say 3 1/8, as did some of the would-be circle-squarers of de Morgan's day, would be to insist that so much of what we do use is unusable.


[1] Cartesian coördinates are named for René Descartes (31 March 1596 – 11 February 1650) because they were invented by Nicole Oresme (c 1320 – 11 July 1382).

[2] Somewhat similarly, many people to-day are concerned that paradoxers not be allowed to influence palæobiology, climatology, or economics. But, whereäs de Morgan proposed to keep the foolish paradoxers of his day in-check by exhibiting the problems with their modes of reasoning, most of those concerned to protect to-day's orthodoxies in alleged science want to do so by methods of ostensibly wise censorship that in-practice excludes views for being unorthodox rather than for being genuinely unreasonable. When jurists and journalists propose to operationalize the definition of science with the formula that science is what scientists doie that science may be identified by the activity of those acknowledged by some social class to be scientists — actual science is being displaced by orthodoxy as such.

[3] Trisection of the angle is another matter. As a university undergraduate, I had a roommate who believed that one of his high-school classmates had worked-out how to do it.

Monkey Dancers

Tuesday, 25 October 2011

[This post was delayed from yester-day, as my hosting service had a technical failure, and it took me rather a long time to persuade them of such.]

I read

This past week it was reported that the hacktivist collective known as Anonymous claimed credit for taking offline over 40 websites used for sharing pedophilia — and for exposing the names and identifying information of more than 1500 alleged pedophiles that had been using the sites.

But the actual list is of user aliases, not of personal names.

Not only are pædophiles not being exposed here, but non-pædophiles who've had the misfortune of pædophiles' using the same aliases (by chance or from malice) are going to come under suspicion by those who think that they recognize them on this list.

Further, if agents of law enforcement were themselves working to track-down the actual legal identities of the pædophiles, their investigation has now been severely compromised, possibly fatally so.

Once again, Anonymous has done less good than they have led the gullible to believe, and have caused more damage than they have acknowledged.

Grossly Uncharitable Readings

Wednesday, 28 September 2011

One claim about Libertarians that won't withstand any real scrutiny — yet is very common amongst journalists and educators — is that Libertarians don't believe in doing anything to address the immediate needs of the poor. If asked to defend the claim, those who make it will either note Libertarian opposition to various state programmes, and with a crude induction draw the inference that Libertarians don't believe in doing anything to achieve the ostensible goals of those programmes, or they'll note the Libertarian objection in principle to any state programme with such goals, and treat this as QED.

Well, let's lay the form of that out:

L does not believe that X should be done by S,
therefore
L does not believe that X should be done.

Oooops! That isn't really very logical, is it? I mean that we can find plenty of X and S where this won't work, when we make ourselves L.

Libertarians don't believe that the state should do a lot of things, including farming, financial intermediation, and managing roads. Genuine anarchists go further, to claim that the state shouldn't do anything. That hardly means that they don't think that these things should be done by someone. It doesn't even mean that they won't agree that they should be those who do these things. (Indeed, people who rely upon the state are most likely to say that it ought to do whatever it does at the expense of someone else, as when they call for higher taxes on those who make more money.)

This point of logic ought to be obvious. Well, many journalists and educators are such damn'd fools that they truly don't see it, and an awful lot are knaves, who see it but don't want it to be seen by others.

One way that I see the eristicism effected is by the specious society-state equation — by treating the state as if it is society, which is to say as if it is us. Formally, this would be

L does not believe that X should be done by the state,
which is to say that
L does not believe that X should be done by society,
which is to say that
L does not believe that X should be done by any of us.

except that it's not explicitly expanded in this way, else the jig would be up. One place you'll see this eristic equation employed is in many quizzes that purport to tell the taker what his or her political classification is. If he or she answers affirmatively to a claim such as that society should help the poor then the typical quiz will score that towards state socialism and away from classical liberalism (of which Libertarianism is the extreme).

(Actually, one needs to be very careful whenever encountering the word society. In practice, it is often used to mean everyone else. Sometimes it's used to refer to some hypothetical entity which is somehow more than a group of people and their system of interaction; this latter notion tends to operationalize, again, as everyone else. Equating society with the state, and coupling this with demands for the state to make greater demands on other people is a popular way of making society mean everyone else.)

The fact is that one simply cannot tell, one way or another, from the datum that a person is a Libertarian whether he or she thinks that some goal ought to be pursued, unless the goal involves what a Libertarian would label coercion; because Libertarianism itself is no more than a belief that one ought not to initiate the class of behaviors to which they apply this label. A person can be a Libertarian and be all for voluntary redistribution, or that person might indeed be someone who embraced some of the more callous proclamations of Ayn Rand, or the Libertarian might hold some intermediate postion. Libertarianism itself is neutral.

(Within the Randian camp, there has been a willful confusion of the fact that Libertarianism itself has limited scope with the proposition that any given person who is a Libertarian must somehow have no view about matters not within that scope, or with the claim that a Libertarian must think that anything not prohibitable is good.)

Parallels can be found here with the claim that atheists do not believe in morality of any sort. Not only is the underlying fallacy very similar, but the implication in each case is that, should the persons in question believe that something ought to be done, they are more likely to see themselves as the someone who ought to do it.

Smoke Gets in My Eyes

Friday, 2 September 2011

If one wanted to know the solution to particular mathematical problem, and found that different groups gave different answers, then it might be interesting to hear or to read what each group said about the motives of rival groups, but one really ought to chose which answer or answers were correct based upon principles of mathematics, rather than based upon which groups seemed most noble. If one lacked the competence to decide the issue based upon principles of mathematics, then it would probably be best to resist coming to any decision if at all possible.

Likewise, if one wanted to know the solution to a particular problem of the natural sciences, but found that different groups gave different answers, then it might be interesting to hear or to read what each group said about the motives of rival groups, but one really ought to chose which answer or answers were correct based upon principles of science, rather than based upon which group seemed most noble. If one lacked the competence to decide the issue based upon principles of science, then it would probably be best to resist coming to any decision if at all possible.

And if one wanted to know what sort of social policy ought to be applied to some case, but found that different groups gave one different answers, then it might be interesting to hear or to read what each group said about the motives of rival groups, but one really ought to chose which answer or answers were correct based upon principles of science in combination with rational criteria for evaluating ethical philosophies (if, indeed, those criteria are not themselves scientific). And if one lacked the competence to decide the issue based upon such principles, then it would probably be best to resist coming to any decision if at all possible.

Now, all of that ought to be obvious; but consider how much pundits and the major media focus on personalities and theories of motive when it comes both to policy and to science applicable to policy, and how little real science and how little careful dissection of philosophical case is presented. If one party wants one thing, and another wants something different, then we are given some tale of the nobility or at least the level-headedness of one group, and of the knavery or foolishness of the other; accompanying this narrative will be cartoon physics, cartoon biology, or cartoon economics. If ethics are relevant, then one might get cartoon philosophy of ethics, or some ethical philosophy might be implicitly imposed, as if no rival philosophy were conceivable. (If something is treated as good, there generally ought to be an explanation somewhere of what makes it good. If something is treated as bad, there likewise ought to be an explanation of what makes it bad.)

This practice is so prevalent because so many listeners and readers unthinkingly accept it. And I'm not just talking about low-brow or middle-brow people. The self-supposed high-brow folk, more educated and ostensibly more thoughtful, accept this practice. Most of the people who would, if they read them, say that the previous four paragraphs were trivially obvious accept this practice. I don't simply mean that they don't cancel subscriptions or write angry letters to the editor; I mean that they allow their own beliefs to be shaped by some group engaging in the practice. They fall into attending to one narration of this sort, and let it guide them until and unless some crisis causes them to turn their backs on it, at which point they almost always begin to be guided by a narration using the same basic practice to advance some different set of policies.

Sometimes, one must make a decision, with nothing upon which to go except the discernible motives of conflicting parties. In those cases, one should bear in mind that, except to the extent that they are reporting brute fact (rather than interpretation), one typically learns more about the narrators themselves from what they say (and avoid saying) of their opponents, than one learns about their opponents. (And one should not allow the emotional appeal of a narrative to lead one to pretend that one must make a decision that one can in fact defer.)