transgender

Quantifying stereotypes

PNRJ cognitive science, core principles, ethics, heuristics and biases, politics, public policy, tribal paradigm , , , , , , , , , , , , ,

Jul 6 JDN 2460863

There are a lot of stereotypes in the world, from the relatively innocuous (“teenagers are rebellious”) to the extremely harmful (“Black people are criminals”).

Most stereotypes are not true.

But most stereotypes are not exactly false, either.

Here’s a list of forty stereotypes, all but one of which I got from this list of stereotypes:

(Can you guess which one? I’ll give you a hint: It’s a group I belong to and a stereotype I’ve experienced firsthand.)

  1. “Children are always noisy and misbehaving.”
  2. “Kids can’t understand complex concepts.”
  3. “Children are tech-savvy.”
  4. “Teenagers are always rebellious.”
  5. “Teenagers are addicted to social media.”
  6. “Adolescents are irresponsible and careless.”
  7. “Adults are always busy and stressed.”
  8. “Adults are responsible.”
  9. “Adults are not adept at using modern technologies.”
  10. “Elderly individuals are always grumpy.”
  11. “Old people can’t learn new skills, especially related to technology.”
  12. “The elderly are always frail and dependent on others.”
  13. “Women are emotionally more expressive and sensitive than men.”
  14. “Females are not as good at math or science as males.”
  15. “Women are nurturing, caring, and focused on family and home.”
  16. “Females are not as assertive or competitive as men.”
  17. “Men do not cry or express emotions openly.”
  18. “Males are inherently better at physical activities and sports.”
  19. “Men are strong, independent, and the primary breadwinners.”
  20. “Males are not as good at multitasking as females.”
  21. “African Americans are good at sports.”
  22. “African Americans are inherently aggressive or violent.”
  23. “Black individuals have a natural talent for music and dance.”
  24. “Asians are highly intelligent, especially in math and science.”
  25. “Asian individuals are inherently submissive or docile.”
  26. “Asians know martial arts.”
  27. “Latinos are uneducated.”
  28. “Hispanic individuals are undocumented immigrants.”
  29. “Latinos are inherently passionate and hot-tempered.”
  30. “Middle Easterners are terrorists.”
  31. “Middle Eastern women are oppressed.”
  32. “Middle Eastern individuals are inherently violent or aggressive.”
  33. “White people are privileged and unacquainted with hardship.”
  34. “White people are racist.”
  35. “White individuals lack rhythm in music or dance.”
  36. “Gay men are excessively flamboyant.”
  37. “Gay men have lisps.”
  38. “Lesbians are masculine.”
  39. “Bisexuals are promiscuous.”
  40. “Trans people get gender-reassignment surgery.”

If you view the above 40 statements as absolute statements about everyone in the category (the first-order operator “for all”), they are obviously false; there are clear counter-examples to every single one. If you view them as merely saying that there are examples of each (the first-order operator “there exists”), they are obviously true, but also utterly trivial, as you could just as easily find examples from other groups.

But I think there’s a third way to read them, which may be more what most people actually have in mind. Indeed, it kinda seems uncharitable not to read them this third way.

That way is:

“This is more true of the group I’m talking about than it is true of other groups.”

And that is not only a claim that can be true, it is a claim that can be quantified.

Recall my new favorite effect size measure, because it’s so simple and intuitive; I’m not much for the official name probability of superiority (especially in this context!), so I’m gonna call it the more down-to-earth chance of being higher.

It is exactly what it sounds like: If you compare a quantity X between group A and group B, what is the chance that the person in group A has a higher value of X?

Let’s start at the top: If you take one randomly-selected child, and one randomly-selected adult, what is the chance that the child is one who is more prone to being noisy and misbehaving?

Probably pretty high.

Or let’s take number 13: If you take one randomly-selected woman and one randomly-selected man, what is the chance that the woman is the more emotionally expressive one?

Definitely more than half.

Or how about number 27: If you take one randomly-selected Latino and one randomly-selected non-Latino (especially if you choose a White or Asian person), what is the chance that the Latino is the less-educated one?

That one I can do fairly precisely: Since 95% of White Americans have completed high school but only 75% of Latino Americans have, while 28% of Whites have a bachelor’s degree and only 21% of Latinos do, the probability of the White person being at least as educated as the Latino person is about 82%.

I don’t know the exact figures for all of these, and I didn’t want to spend all day researching 40 different stereotypes, but I am quite prepared to believe that at least all of the following exhibit a chance of being higher that is over 50%:

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 21, 24, 26, 27, 28, 29, 30, 31, 33, 34, 36, 37, 38, 40.

You may have noticed that that’s… most of them. I had to shrink the font a little to fit them all on one line.

I think 30 is an important one to mention, because while terrorists are a tiny proportion of the Middle Eastern population, they are in fact a much larger proportion of that population than they are of most other populations, and it doesn’t take that many terrorists to make a place dangerous. The Middle East is objectively a more dangerous place for terrorism than most other places, and only India and sub-Saharan Africa close (and both of which are also largely driven by Islamist terrorism). So while it’s bigoted to assume that any given Muslim or Middle Easterner is a terrorist, it is an objective fact that a disproportionate share of terrorists are Middle Eastern Muslims. Part of what I’m trying to do here is get people to more clearly distinguish between those two concepts, because one is true and the other is very, very false.

40 also deserves particular note, because the chance of being higher is almost certainly very close to 100%. While most trans people don’t get gender-reassignment surgery, virtually all people who get gender-reassignment surgery are trans.

Then again, you could see this as a limitation of the measure, since we might expect a 100% score to mean “it’s true of everyone in the group”, when here it simply means “if we ask people whether they have had gender-reassignment surgery, the trans people sometimes say yes and the cis people always say no.”


We could talk about a weak or strict chance of being higher: The weak chance is the chance of being greater than or equal to (which is the normal measure), while the strict chance is the chance of being strictly greater. In this case, the weak chance is nearly 100%, while the strict chance is hard to estimate but probably about 33% based on surveys.

This doesn’t mean that all stereotypes have some validity.

There are some stereotypes here, including a few pretty harmful ones, for which I’m not sure how the statistics would actually shake out:
10, 14, 22, 23, 25, 32, 35, 39

But I think we should be honestly prepared for the possibility that maybe there is some statistical validity to some of these stereotypes too, and instead of simply dismissing the stereotypes as false—or even bigoted—we should instead be trying to determine how true they are, and also look at why they might have some truth to them.

My proposal is to use the chance of being higher as a measure of the truth of a stereotype.

A stereotype is completely true if it has a chance of being higher of 100%.

It is completely false if it has a chance of being higher of 50%.

And it is completely backwards if it has a chance of being higher of 0%.

There is a unique affine transformation that does this: 2X-1.

100% maps to 100%, 50% maps to 0%, and 0% maps to -100%.

With discrete outcomes, the difference between weak and strong chance of being higher becomes very important. With a discrete outcome, you can have a 100% weak chance but a 1% strong chance, and honestly I’m really not sure whether we should say that stereotype is true or not.

For example, for the claim “trans men get bottom surgery”, the figures would be 100% and 6% respectively. The vast majority of trans men don’t get bottom surgery—but cis men almost never do. (Unless I count penis enlargement surgery? Then the numbers might be closer than you’d think, at least in the US where the vast majority of such surgery is performed.)

And for the claim “Middle Eastern Muslims are terrorists”, well, given two random people of whatever ethnicity or religion, they’re almost certainly not terrorists—but if it one of them is, it’s probably the Middle Eastern Muslim. It may be better in this case to talk about the conditional chance of being higher: If you have two random people, you know that one is a terrorist and one isn’t, and one is a Middle Eastern Muslim and one isn’t, how likely is it that the Middle Eastern Muslim is the terrorist? Probably about 80%. Definitely more than 50%, but also not 100%. So that’s the sense in which the stereotype has some validity. It’s still the case that 99.999% of Middle Eastern Muslims aren’t terrorists, and so it remains bigoted to treat every Middle Eastern Muslim you meet like a terrorist.

We could also work harder to more clearly distinguish between “Middle Easterners are terrorists” and “terrorists are Middle Easterners”; the former is really not true (99.999% are not), but the latter kinda is (the plurality of the world’s terrorists are in the Middle East).

Alternatively, for discrete traits we could just report all four probabilities, which would be something like this: 99.999% of Middle Eastern Muslims are not terrorists, and 0.001% are; 99.9998% of other Americans are not terrorists, and 0.0002% are. Compared to Muslim terrorists in the US, White terrorists actually are responsible for more attacks and a similar number of deaths, but largely because there just are a lot more White people in America.

These issues mainly arise when a trait is discrete. When the trait is itself quantitative (like rebelliousness, or math test scores), this is less of a problem, and the weak and strong chances of being higher are generally more or less the same.


So instead of asking whether a stereotype is true, we could ask: How true is it?

Using measures like this, we will find that some stereotypes probably have quite high truth levels, like 1 and 4; but others, if they are true at all, must have quite low truth levels, like 14; if there’s a difference, it’s a small difference!

The lower a stereotype’s truth level, the less useful it is; indeed, by this measure, it directly predicts how accurate you’d be at guessing someone’s score on the trait if you knew only the group they belong to. If you couldn’t really predict, then why are you using the stereotype? Get rid of it.

Moreover, some stereotypes are clearly more harmful than others.

Even if it is statistically valid to say that Black people are more likely to commit crimes in the US than White people (it is), the kind of person who goes around saying “Black people are criminals” is (1) smearing all Black people with the behavior of a minority of them, and (2) likely to be racist in other ways. So we have good reason to be suspect of people who say such things, even if there may be a statistical kernel of truth to their claims.

But we might still want to be a little more charitable, a little more forgiving, when people express stereotypes. They may make what sounds like a blanket absolute “for all” statement, but actually intend something much milder—something that might actually be true. They might not clearly grasp the distinction between “Middle Easterners are terrorists” and “terrorists are Middle Easterners”, and instead of denouncing them as a bigot immediately, you could try taking the time to listen to what they are saying and carefully explain what’s wrong with it.

Failing to be charitable like this—as we so often do—often feels to people like we are dismissing their lived experience. All the terrorists they can think of were Middle Eastern! All of the folks they know with a lisp turned out to be gay! Lived experience is ultimately anecdotal, but it still has a powerful effect on how people think (too powerful—see also availability heuristic), and it’s really not surprising that people would feel we are treating them unjustly if we immediately accuse them of bigotry simply for stating things that, based on their own experience, seem to be true.

I think there’s another harm here as well, which is that we damage our own credibility. If I believe that something is true and you tell me that I’m a bad person for believing it, that doesn’t make me not believe it—it makes me not trust you. You’ve presented yourself as the sort of person who wants to cover up the truth when it doesn’t fit your narrative. If you wanted to actually convince me that my belief is wrong, you could present evidence that might do that. (To be fair, this doesn’t always work; but sometimes it does!) But if you just jump straight to attacking my character, I don’t want to talk to you anymore.

A Socratic open letter to transphobes everywhere

PNRJ core principles, ethics, personal, public policy, Uncategorized , , , , , , , , , , , ,

Feb 23 JDN 2458903

This post is a bit different than usual. This is an open letter to those who doubt that trans people actually exist, or insist on using the wrong pronouns; above all it is an open letter to those who want to discriminate against trans people, denying trans people civil rights or the dignity to use public bathrooms in peace. Most of my readers are probably not such people, but I think you’ll still benefit from reading it—perhaps you can use some of its arguments when you inevitably encounter someone who is.

Content warning: Because of how sex and gender are tied up together in transphobes’ minds, I’m going to need to talk a little bit about sexual anatomy and genital surgery. If such topics make you uncomfortable, feel free to skip this post.

Dear Transphobe:

First of all, I’m going to assume you are a man. Statistically you probably are, in which case that works. If by chance you’re not, well, now you know what it feels like for people to assume your gender and never correct themselves. You’re almost certainly politically right-wing, so that’s an even safer assumption on my part.

You probably think that gender and sex are interchangeable things, that the idea of a woman born with a penis or a man born without one is utter nonsense. I’m here to hopefully make you question this notion.

Let’s start by thinking about your own identity. You are a man. I presume that you have a penis. I am not going to make the standard insult many on the left would and say that it’s probably a small penis. In fact I have no particular reason to believe that, and in any case the real problem is that we as a society have so thoroughly equated penis size with masculinity with value as a human being. Right-wing attitudes of the sort that lead to discriminating against LGBT people are strongly correlated with aggressive behaviors to assert one’s masculinity. Even if I had good reason—which I assuredly do not—to do so, attacking your masculinity would be inherently counterproductive, causing you to double down on the same aggressive, masculinity-signaling behaviors. If it so happens that you are insecure in your masculinity, I certainly don’t want to make that worse, as masculine insecurity was one of the strongest predictors of voting for Donald Trump. You are a man, and I make no challenges to your masculinity whatsoever. I’m even prepared to concede that you are more manly than I am, whatever you may take that to mean.

Let us consider a thought experiment. Suppose that you were to lose your penis in some tragic accident. Don’t try to imagine the details; I’m sure the mere fact of it is terrifying enough. Suppose a terrible day were to arrive where you wake up in a hospital and find you no longer have a penis.

I have a question for you now: Should such a terrible day arrive, would you cease to be a man?

I contend that you would remain a man. I think that you, upon reflection, would also contend the same. There are a few thousand men in the world who have undergone penectomy, typically as a treatment for genital cancer. You wouldn’t even know unless you saw them naked or they told you. As far as anyone else can tell, they look and act as men, just as they did before their surgery. They are still men, just as they were before.

In fact, it’s quite likely that you would experience a phantom limb effect—where here the limb that is in your self-image but no longer attached to your body is your penis. You would sometimes feel “as if” your penis was still there, because your brain continues to have the neural connections that generate such sensations.

An even larger number of men have undergone castration for various reasons, and while they do often find that their thoughts and behavior change due to the changes in hormone balances, they still consider themselves men, and are generally considered men by others as well. We do not even consider them transgender men; we simply consider them men.

But does this not mean, then, that there is something more to being a man than simply having male anatomy?

Perhaps it has to do with other body parts, or some totality of the male body? Let’s consider another thought experiment then. Suppose that by some bizarre event you were transported into a female body. The mechanism isn’t important: Perhaps it was a mad scientist, or aliens, or magic. But just suppose that somehow or other, while you slept, your brain in its current state was transported into an entirely female body, complete with breasts, vulva, wide hips, narrow shoulders—the whole package. When you awaken, your body is female.

Such a transition would no doubt be distressing and disorienting. People would probably begin to see you as a woman when they looked at you. You would be denied access to men’s spaces you had previously used, and suddenly granted access to women’s spaces you had never before been allowed into. And who knows what sort of effect the hormonal changes would have on your mind?

Particularly if you are sexually attracted to women, you might imagine that you would enjoy this transformation: Now you get to play with female body parts whenever you want! But think about this matter carefully, now: While there might be some upsides, would you really want this change to happen? You have to now wear women’s clothing, use women’s restrooms, cope with a menstrual cycle. Everyone will see you as a woman and treat you as a woman. (How do you treat women, by the way? Is this something you’ve thought carefully about?)

And if you still think that being a woman isn’t so bad, maybe it isn’t—if your mind and body are in agreement. But remember that you’ve still got the mind of a man; you still feel that mental attachment to body parts that are no longer present, and these new body parts you have don’t feel like they are properly your own.

But throughout this harrowing experience, would you still be a man?

Once again I contend that you would. You would now feel a deep conflict between your mind and your body—dare I call it gender dysphoria?—and you would probably long to change your body back to what it was, or at least back to a body that is male.

You would once again experience phantom limb effects—but now all over, everywhere your new body deviated from your original form. In your brain there is a kind of map of where your body parts are supposed to be: Your shoulders are supposed to end here, your legs are supposed to end there, and down here there is supposed to be a penis, not vulva. This map is deeply ingrained into your mind, its billions of strands almost literally woven into the fabric of your brain.

We are presumably born with such a map: By some mindbogglingly complex mix of genetic and environmental factors our brains organize themselves into specific patterns, telling us what kind of body we’re supposed to have. Some of this structuring may go on before birth, some while we are growing up. But surely by the time we are adults the process is complete.

This mental map does allow for some flexibility: When we were young and growing, it allowed us to adjust to our ever-increasing height. Now that we are older, it allows us to adjust to gaining or losing weight. But this flexibility is quite limited: it might take years, or perhaps we could never adjust at all, to finding that we had suddenly grown a tail—or suddenly changed from male to female.

Now imagine that this transformation didn’t happen by some sudden event when you were an adult, but by some quirk of ontogeny while you were still in the womb. Suppose that you were born this way: in a body that is female, but with a mind that is male.

In such a state, surely something is wrong, in the same way that being born with sickle-cell anemia or spina bifida is wrong. There are more ambiguous cases: Is polydactyly a disorder? Sometimes? But surely there are some ways to be born that are worth correcting, and “female body, male mind” seems like one of them.

And yet, this is often precisely how trans people describe their experience. Not always—humans are nothing if not diverse, and trans people are no exception—but quite frequently, they will say that they feel like “a man in a woman’s body” or the reverse. By all accounts, they seem to have precisely this hypothetical condition: The gender of their mind does not match the sex of their body. And since this mismatch causes great suffering, we ought to correct it.

But then the question becomes: Correct it how?

Broadly speaking, it seems we’ve only two options: Change the body, or change the mind. If you were in this predicament, which would you want?

In the case of being transferred into a new body as an adult, I’m quite sure you’d prefer to change your body, and keep your mind as it is. You don’t belong in this new body, and you want your old one back.

Yet perhaps you think that if you were born with this mismatch, things might be different: Perhaps in such a case you think it would make more sense to change the mind to match the body. But I ask you this: Which is more fundamental to who you are? If you are still an infant, we can’t ask your opinion; but what do you suppose you’d say if we could?

Or suppose that you notice the mismatch later, as a child, or even as a teenager. Before that, something felt off somehow, but you couldn’t quite put your finger on it. But now you realize where the problem lies: You were born in a body of the wrong sex. Now that you’ve had years to build up your identity, would you still say that the mind is the right thing to change? Once you can speak, now we can ask you—and we do ask such children, and their answers are nigh-unanimous: They want to change their bodies, not their minds. David Reimer was raised as a girl for years, and yet he always still knew he was a boy and tried to act like one.

In fact, we don’t even know how to change the gender of a mind. Despite literally millennia of civilization trying at great expense to enforce particular gender norms on everyone’s minds, we still get a large proportion of the population deviating substantially from them—if you include mild enough deviations, probably a strict majority. If I seem a soft “soy boy” to you (and, I admit, I am both bisexual and vegetarian—though I already knew I was the former before I became the latter), ask yourself this: Why would I continue to deviate from your so ferociously-enforced gender norms, if it were easy to conform?

Whereas, we do have some idea how to change a body. We have hormonal and surgical treatments that allow people to change their bodies substantially—trans women can grow breasts, trans men can grow beards. Often this is enough to make people feel much more comfortable in their own bodies, and also present themselves in a way that leads others to recognize them as their desired gender.

Sex reassignment surgery is not as reliable, especially for trans men: While building artificial vulva works relatively well, building a good artificial penis still largely eludes us. Yet technological process in this area continues, and we’ve improved our ability to change the sex of bodies substantially in just the last few decades—while, let me repeat, we have not meaningfully improved our ability to change the gender of minds in the last millennium.

If we could reliably change the gender of minds, perhaps that would be an option worth considering. But ought implies can: We cannot be ethically expected to do that which we are simply incapable.

At present, this means that our only real options are two: We can accept the gender of the mind, change the sex of the body, and treat this person as the gender they identify themselves as; or we can demand that they repress and conceal their mental gender in favor of conforming to the standards we have imposed upon them based on their body. The option you may most prefer—accept the body, change the mind—simply is not feasible with any current or foreseeable technology.

We have tried repressing transgender identity for centuries: It has brought endless suffering, depression, suicide.

But now that we are trying to affirm transgender identity the outlook seems much better: Simply having one adult in their life who accepts their gender identity reduces the risk of a transgender child attempting suicide by 40%. Meta-analysis of research on the subject shows that gender transition, while surely no panacea, does overall improve outcomes for transgender people—including reducing risk of depression and suicide. (That site is actually refreshingly nuanced; it does not simply accept either the left-wing or right-wing ideology on the subject, instead delving deeply into the often quite ambiguous evidence.)

Above all, ask yourself: If you ever found yourself in the wrong sort of body, what would you want us to do?