Moore’s “naturalistic fallacy”

Jan 12 JDN 2460688

In last week’s post I talked about some of the arguments against ethical naturalism, which have sometimes been called “the naturalistic fallacy”.

The “naturalistic fallacy” that G.E. Moore actually wrote about is somewhat subtler; it says that there is something philosophically suspect about defining something non-natural in terms of natural things—and furthermore, it says that “good” is not a natural thing and so cannot be defined in terms of natural things. For Moore, “good” is not something that can be defined with recourse to facts about psychology, biology or mathematics; “good” is simply an indefinable atomic concept that exists independent of all other concepts. As such Moore was criticizing moral theories like utilitarianism and hedonism that seek to define “good” in terms of “pleasure” or “lack of pain”; for Moore, good cannot have a definition in terms of anything except itself.

My greatest problem with this position is less philosophical than linguistic; how does one go about learning a concept that is so atomic and indefinable? When I was a child, I acquired an understanding of the word “good” that has since expanded as I grew in knowledge and maturity. I need not have called it “good”: had I been raised in Madrid, I would have called it bueno; in Beijing, hao; in Kyoto, ii; in Cairo, jaiid; and so on.

I’m not even sure if all these words really mean exactly the same thing, since each word comes with its own cultural and linguistic connotations. A vast range of possible sounds could be used to express this concept and related concepts—and somehow I had to learn which sounds were meant to symbolize which concepts, and what relations were meant to hold between them. This learning process was highly automatic, and occurred when I was very young, so I do not have great insight into its specifics; but nonetheless it seems clear to me that in some sense I learned to define “good” in terms of things that I could perceive. No doubt this definition was tentative, and changed with time and experience; indeed, I think all definitions are like this. Perhaps my knowledge of other concepts, like “pleasure”, “happiness”, “hope” and “justice”, is interconnected with “good” in such a way that none can be defined separately from the others—indeed perhaps language itself is best considered a network of mutually-reinforcing concepts, each with some independent justification and some connection to other concepts, not a straightforward derivation from more basic atomic notions. If you wish, call me a “foundherentist” in the tradition of Susan Haack; I certainly do think that all beliefs have some degree of independent justification by direct evidence and some degree of mutual justification by coherence. Haack uses the metaphor of a crossword puzzle, but I prefer Alison Gopnik’s mathematical model of a Bayes net. In any case, I had to learn about “good” somehow. Even if I had some innate atomic concept of good, we are left to explain two things: First, how I managed to associate that innate atomic concept with my sense experiences, and second, how that innate atomic concept got in my brain in the first place. If it was genetic, it must have evolved; but it could only have evolved by phenotypic interaction with the external environment—that is, with natural things. We are natural beings, made of natural material, evolved by natural selection. If there is a concept of “good” encoded into my brain either by learning or instinct or whatever combination, it had to get there by some natural mechanism.

The classic argument Moore used to support this position is now called the Open Question Argument; it says, essentially, that we could take any natural property that would be proposed as the definition of “good” and call it X, and we could ask: “Sure, that’s X, but is it good?” The idea is that since we can ask this question and it seems to make sense, then X cannot be the definition of “good”. If someone asked, “I know he is an unmarried man, but is he a bachelor?” or “I know that has three sides, but is it a triangle?” we would think that they didn’t understand what they were talking about; but Moore argues that for any natural property, “I know that is X, but is it good?” is still a meaningful question. Moore uses two particular examples, X = “pleasant” and X = “what we desire to desire”; and indeed those fit what he is saying. But are these really very good examples?

One subtle point that many philosophers make about this argument is that science can discover identities between things and properties that are not immediately apparent. We now know that water is H2O, but until the 19th century we did not know this. So we could perfectly well imagine someone asking, “I know that’s H2O, but is it water?” even though in fact water is H2O and we know this. I think this sort of argument would work for some very complicated moral claims, like the claim that constitutional democracy is good; I can imagine someone who was quite ignorant of international affairs asking: “I know that it’s constitutional democracy, but is that good?” and be making sense. This is because the goodness of constitutional democracy isn’t something conceptually necessary, it is an empirical result based on the fact that constitutional democracies are more peaceful, fair, egalitarian, and prosperous than other governmental systems. In fact, it may even be only true relative to other systems we know of; perhaps there is an as-yet-unimagined governmental system that is better still. No one thinks that constitutional democracy is a definition of moral goodness. And indeed, I think few would argue that H2O is the definition of water; instead the definition of water is something like “that wet stuff we need to drink to survive” and it just so happens that this turns out to be H2O. If someone asked “is that wet stuff we need to drink to survive really water?” he would rightly be thought talking nonsense; that’s just what water means.

But if instead of the silly examples Moore uses, we take a serious proposal that real moral philosophers have suggested, it’s not nearly so obvious that the question is open. From Kant: “Yes, that is our duty as rational beings, but is it good?” From Mill: “Yes, that increases the amount of happiness and decreases the amount of suffering in the world, but is it good?” From Aristotle: “Yes, that is kind, just, and fair, but is it good?” These do sound dangerously close to talking nonsense! If someone asked these questions, I would immediately expect an explanation of what they were getting at. And if no such explanation was forthcoming, I would, in fact, be led to conclude that they literally don’t understand what they’re talking about.

I can imagine making sense of “I know that has three sides, but is it a triangle?”in some bizarre curved multi-dimensional geometry. Even “I know he is an unmarried man, but is he a bachelor?” makes sense if you are talking about a celibate priest. Very rarely do perfect synonyms exist in natural languages, and even when they do they are often unstable due to the effects of connotations. None of this changes the fact that bachelors are unmarried men, triangles have three sides, and yes, goodness involves fulfilling rational duties, alleviating suffering, and being kind and just (Deontology, consequentialism, and virtue theory are often thought to be distinct and incompatible; I’m convinced they amount to the same thing, which I’ll say more about in later posts.).

This line of reasoning has led some philosophers (notably Willard Quine) to deny the existence of analytic truths altogether; on Quine’s view even “2+2=4” isn’t something we can deduce directly from the meaning of the symbols. This is clearly much too strong; no empirical observation could ever lead us to deny 2+2=4. In fact, I am convinced that all mathematical truths are ultimately reducible to tautologies; even “the Fourier transform of a Gaussian is Gaussian” is ultimately a way of saying in compact jargon some very complicated statement that amounts to A=A. This is not to deny that mathematics is useful; of course mathematics is tremendously useful, because this sort of compact symbolic jargon allows us to make innumerable inferences about the world and at the same time guarantee that these inferences are correct. Whenever you see a Gaussian and you need its Fourier transform (I know, it happens a lot, right?), you can immediately know that the result will be a Gaussian; you don’t have to go through the whole derivation yourself. We are wrong to think that “ultimately reducible to a tautology” is the same as “worthless and trivial”; on the contrary, to realize that mathematics is reducible to tautology is to say that mathematics is undeniable, literally impossible to coherently deny. At least the way I use the words, the statement “Happiness is good and suffering is bad” is pretty close to that same sort of claim; if you don’t agree with it, I sense that you honestly don’t understand what I mean.

In any case, I see no more fundamental difficulty in defining “good” than I do in defining any concept, like “man”, “tree”, “multiplication”, “green” or “refrigerator”; and nor do I see any point in arguing about the semantics of definition as an approach to understanding moral truth. It seems to me that Moore has confused the map with the territory, and later authors have confused him with Hume, to all of our detriment.

What does “can” mean, anyway?

Apr 7 JDN 2460409

I don’t remember where, but I believe I once heard a “philosopher” defined as someone who asks the sort of question everyone knows the answer to, and doesn’t know the answer.

By that definition, I’m feeling very much a philosopher today.

“can” is one of the most common words in the English language; the Oxford English Corpus lists it as the 53rd most common word. Similar words are found in essentially every language, and nearly always rank among their most common.

Yet when I try to precisely define what we mean by this word, it’s surprisingly hard.

Why, you might even say I can’t.

The very concept of “capability” is surprisingly slippery—just what is someone capable of?

My goal in this post is basically to make you as confused about the concept as I am.

I think that experiencing disabilities that include executive dysfunction has made me especially aware of just how complicated the concept of ability really is. This also relates back to my previous post questioning the idea of “doing your best”.

Here are some things that “can” might mean, or even sometimes seems to mean:

1. The laws of physics do not explicitly prevent it.

This seems far too broad. By this definition, you “can” do almost anything—as long as you don’t make free energy, reduce entropy, or exceed the speed of light.

2. The task is something that other human beings have performed in the past.

This is surely a lot better; it doesn’t say that I “can” fly to Mars or turn into a tree. But by this definition, I “can” sprint as fast as Usain Bolt and swim as long as Michael Phelps—which certainly doesn’t seem right. Indeed, not only would I say I can’t do that; I’d say I couldn’t do that, no matter how hard I tried.

3. The task is something that human beings in similar physical condition to my own have performed in the past.

Okay, we’re getting warmer. But just what do we mean, “similar condition”? No one else in the world is in exactly the same condition I am.

And even if those other people are in the same physical condition, their mental condition could be radically different. Maybe they’re smarter than I am, or more creative—or maybe they just speak Swahili. It doesn’t seem right to say that I can speak Swahili. Maybe I could speak Swahili, if I spent a lot of time and effort learning it. But at present, I can’t.

4. The task is something that human beings in similar physical and mental condition to my own have performed in the past.

Better still. This seems to solve the most obvious problems. It says that I can write blog posts (check), and I can’t speak Swahili (also check).

But it’s still not specific enough. For, even if we can clearly define what constitutes “people like me” (can we?), there are many different circumstances in which people like me have been in, and what they did has varied quite a bit, depending on those circumstances.

People in extreme emergencies have performed astonishingly feats of strength, such as lifting cars. Maybe I could do something like that, should the circumstance arise? But it certainly doesn’t seem right to say that I can lift cars.

5. The task is something that human beings in similar physical and mental condition to my own have performed in the past, in circumstances similar to my own.

That solves the above problems (provided we can sufficiently define “similar” for both people and circumstances). But it actually raises a different problem: If the circumstances were so similar, shouldn’t their behavior and mine be the same?

By that metric, it seems like the only way to know if I can do something is to actually do it. If I haven’t actually done it—in that mental state, in those circumstances—then I can’t really say I could have done it. At that point, “can” becomes a really funny way of saying “do”.

So it seems we may have narrowed down a little too much here.

And what about the idea that I could speak Swahili, if I studied hard? That seems to be something broader; maybe it’s this:

6. The task is something that human beings who are in physical or mental condition that is attainable from my own condition have performed in the past.

But now we have to ask, what do we mean by “attainable”? We come right back to asking about capability again: What kind of effort can I make in order to learn Swahili, train as a pilot, or learn to SCUBA dive?

Maybe I could lift a car, if I had to do it to save my life or the life of a loved one. But without the adrenaline rush of such emergency, I might be completely unable to do it, and even with that adrenaline rush, I’m sure the task would injure me severely. Thus, I don’t think it’s fair to say I can lift cars.

So how much can I lift? I have found that I can, as part of a normal workout, bench-press about 80 pounds. But I don’t think is the limit of what I can lift; it’s more like what I can lift safely and comfortably for multiple sets of multiple reps without causing myself undue pain. For a single rep, I could probably do considerably more—though how much more is quite hard to say. 100 pounds? 120? (There are online calculators that supposedly will convert your multi-rep weight to a single-rep max, but for some reason, they don’t seem to be able to account for multiple sets for some reason. If I do 4 sets of 10 reps, is that 10 reps, or 40 reps? This is the difference between my one-rep max being 106 and it being 186. The former seems closer to the truth, but is probably still too low.)

If I absolutely had to—say, something that heavy has fallen on me and lifting it is the only way to escape—could I bench-press my own weight of about 215 pounds? I think so. But I’m sure it would hurt like hell, and I’d probably be sore for days afterward.

Now, consider tasks that require figuring something out, something I don’t currently know but could conceivably learn or figure out. It doesn’t seem right to say that I can solve the P/NP problem or the Riemann Hypothesis. But it does seem right to say that I can at least work on those problems—I know enough about them that I can at least get started, if perhaps not make much real progress. Whereas most people, while they could theoretically read enough books about mathematics to one day know enough that they could do this, are not currently in a state where they could even begin to do that.

Here’s another question for you to ponder:

Can I write a bestselling novel?

Maybe that’s no fair. Making it a bestseller depends on all sorts of features of the market that aren’t entirely under my control. So let’s make it easier:

Can I write a novel?

I have written novels. So at first glance it seems obvious that I can write a novel.

But there are many days, especially lately, on which I procrastinate my writing and struggle to get any writing done. On such a day, can I write a novel? If someone held a gun to my head and demanded that I write the novel, could I get it done?

I honestly don’t know.

Maybe there’s some amount of pressure that would in fact compel me, even on the days of my very worst depression, to write the novel. Or maybe if you put that gun to my head, I’d just die. I don’t know.

But I do know one thing for sure: It would hurt.

Writing a novel on my worst days would require enormous effort and psychological pain—and honestly, I think it wouldn’t feel all that different from trying to lift 200 pounds.

Now we are coming to the real heart of the matter:

How much cost am I expected to pay, for it to still count as within my ability?

There are many things that I can do easily, that don’t really require much effort. But this varies too.

On most days, brushing my teeth is something I just can do—I remember to do it, I choose to do it, it happens; I don’t feel like I have exerted a great deal of effort or paid any substantial cost.

But there are days when even brushing my teeth is hard. Generally I do make it happen, so evidently I can do it—but it is no longer free and effortless the way it usually is.

There are other things which require effort, but are generally feasible, such as working out. Working out isn’t easy (essentially by design), but if I put in the effort, I can make it happen.

But again, some days are much harder than others.

Then there are things which require so much effort they feel impossible, even if they theoretically aren’t.

Right now, that’s where I’m at with trying to submit my work to journals or publishers. Each individual action is certainly something I should be physically able to take. I know the process of what to do—I’m not trying to solve the Riemann Hypothesis here. I have even done it before.

But right now, today, I don’t feel like I can do it. There may be some sense in which I “can”, but it doesn’t feel relevant.

And I felt the same way yesterday, and the day before, and pretty much every day for at least the past year.

I’m not even sure if there is an amount of pressure that could compel me to do it—e.g. if I had a gun to my head. Maybe there is. But I honestly don’t know for sure—and if it did work, once again, it would definitely hurt.

Others in the disability community have a way of describing this experience, which probably sounds strange if you haven’t heard it before:

“Do you have enough spoons?”

(For D&D fans, I’ve also heard others substitute “spell slots”.)

The idea is this: Suppose you are endowed with a certain number of spoons, which you can consume as a resource in order to achieve various tasks. The only way to replenish your spoons is rest.

Some tasks are cheap, requiring only 1 or 2 spoons. Others may be very costly, requiring 10, or 20, or perhaps even 50 or 100 spoons.

But the number of spoons you start with each morning may not always be the same. If you start with 200, then a task that requires 2 will seem trivial. But if you only started with 5, even those 2 will feel like a lot.

As you deplete your available spoons, you will find you need to ration which tasks you are able to complete; thus, on days when you wake up with fewer spoons, things that you would ordinarily do may end up not getting done.

I think submitting to a research journal is a 100-spoon task, and I simply haven’t woken up with more than 50 spoons in any given day within the last six months.

I don’t usually hear it formulated this way, but for me, I think the cost varies too.

I think that on a good day, brushing my teeth is a 0-spoon task (a “cantrip”, if you will); I could do it as many times as necessary without expending any detectable effort. But on a very bad day, it will cost me a couple of spoons just to do that. I’ll still get it done, but I’ll feel drained by it. I couldn’t keep doing it indefinitely. It will prevent me from being able to do something else, later in the day.

Writing is something that seems to vary a great deal in its spoon cost. On a really good day when I’m feeling especially inspired, I might get 5000 words written and feel like I’ve only spent 20 spoons; while on a really bad day, that same 20 spoons won’t even get me a single paragraph.

It may occur to you to ask:

What is the actual resource being depleted here?

Just what are the spoons, anyway?

That, I really can’t say.

I don’t think it’s as simple as brain glucose, though there were a few studies that seemed to support such a view. If it were, drinking something sugary ought to fix it, and generally that doesn’t work (and if you do that too often, it’s bad for your health). Even weirder is that, for some people, just tasting sugar seems to help with self-control. My own guess is that if your particular problem is hypoglycemia, drinking sugar works, and otherwise, not so much.

There could be literally some sort of neurotransmitter reserves that get depleted, or receptors that get overloaded; but I suspect it’s not even that simple either. These are the models we use because they’re the best we have—but the brain is in reality far more complicated than any of our models.

I’ve heard people say “I ran out of serotonin today”, but I’m fairly sure they didn’t actually get their cerebrospinal fluid tested first. (And since most of your serotonin is actually in your gut, if they really ran out they should be having severe gastrointestinal symptoms.) (I had my cerebrospinal fluid tested once; most agonizing pain of my life. To say that I don’t recommend the experience is such an understatement, it’s rather like saying Hell sounds like a bad vacation spot. Indeed, if I believed in Hell, I would have to imagine it feels like getting a spinal tap every day for eternity.)

So for now, the best I can say is, I really don’t know what spoons are. And I still don’t entirely know what “can” means. But at least maybe now you’re as confused as I am.