Cup of Babylon

I recently got into an argument over how big a cup is. I’d thought that measurement came in only two sizes, Imperial and Metric, so I hit up Wikipedia.

1 U.S. legal cup 240mL
1 U.S. customary cup 236.5882365mL
1 Metric cup 250mL
1 Imperial cup 284mL
1 Canadian customary cup 227.3045mL
1 cup in some Latin American countries 200mL
1 contemporary Japanese cup 200mL
1 historic Japanese cup 180.3906836mL

… This is why we cannot have nice things.


Back here, I admonished The Intercept for being careless about the handling of classified info. I’ve since learned it’s a bit more complicated than that.

The Intercept did indeed muck up, but it was over a then-completely-anonymous source and they tend to be treated with less care than known-but-anonymous sources. Meanwhile, no-longer-anonymous Reality Winner (no really, that’s her name) left a paper trail behind her which would have let the NSA track her down once they knew the document had been leaked. By trying to source the document, The Intercept triggered the audit which caught Winner.

Their sourcing was done sloppily, but The Intercept don’t have a monopoly on blame here.

Squirting Right

Ever heard of the Sea Squirt? It’s a memorable creature.

What’s most fascinating about the sea squirt is that, almost as soon as it stops moving, its brain is absorbed by its body. Being permanently attached to a home makes the sea squirt’s spinal cord and the neurons that control locomotion superfluous. Once the sea squirt becomes stationary, it literally eats its own brain.

This tells us something important: brainpower is strongly related to movement. If you don’t go anywhere, you don’t need that much computational power between your ears.

While there are those like Sean Hannity who are reliable cheerleaders for all things President Trump, much of the conservative news media is now less pro-Trump than it is anti-anti-Trump. The distinction is important, because anti-anti-Trumpism has become the new safe space for the right. […]

For the anti-anti-Trump pundit, whatever the allegation against Mr. Trump, whatever his blunders or foibles, the other side is always worse.

But the real heart of anti-anti-Trumpism is the delight in the frustration and anger of his opponents. Mr. Trump’s base is unlikely to hold him either to promises or tangible achievements, because conservative politics is now less about ideas or accomplishments than it is about making the right enemies cry out in anguish.

There’s been a remarkable shift in US politics. The Right-wing has largely become the “anti-Left:” whatever the Left is in favor of, the Right opposes. This has some advantages, like making it easy to leverage fear and removing the possibility of contradiction. Truth and feelings become synonymous.

[NEWT] GINGRICH: The current view is that liberals have a whole set of statistics that theoretically may be right, but it’s not where human beings are.

CAMEROTA: But what you’re saying is, but hold on Mr. Speaker because you’re saying liberals use these numbers, they use this sort of magic math. These are the FBI statistics. They’re not a liberal organization. They’re a crime-fighting organization.

GINGRICH: No, but what I said is equally true. People feel more threatened.

CAMEROTA: Feel it, yes. They feel it, but the facts don’t support it.

GINGRICH: As a political candidate, I’ll go with how people feel and I’ll let you go with the theoriticians.

But if you define yourself as the opposite of something else, other people define your position for you. If you cannot contradict yourself, you do not have to waste time and energy searching for contradictions. In the intellectual sphere, you drift under the power of others, and otherwise cannot be moved.

If you cannot move, why do you need a brain? No wait, let me rephrase that: why do you need to think? There’s no need to teach critical thought, and plenty of reason to oppose it. Intellectuals become the enemy, experts the target of scorn. This makes you easily manipulated. Hucksters flock in to take advantage of you.

It doesn’t have to be this way. Conservatives used to hold to specific positions in US politics, some of which were progressive. Should any Republicans or conservatives wander onto this post, I implore you: think, before you glue yourself down and lose that ability.

The Intersection of Intersex and Trans*

Shiv blogged about a fascinating article on TransAdvocate. The title gives you a good preview: “An intersex perspective on the trans, intersex and TERF communities.” It seems some intersex people are drawn to “gender critical” feminism; on the surface, they argue against surgery and claim to push back against the notion of binary gender.

But, when you get into the details,

intersex advocates and “gender critical feminists” have very different end positions on medical interventions into the sexed body. Intersex advocates believe that no intervention should be forced–but also that once an intersex person is old enough to give full informed consent, that hormonal, surgical, or others interventions should be performed if that’s what the individual truly wants. Many, many, many intersex people do choose interventions of their own free will. …  Intersex people often seek hormone replacement therapy to masculinize or feminize their bodies, or surgeries to move their urethras to allow neater or standing urination, or any of a wide number of other interventions. And intersex advocates support all of these choices. We just wish them to be free choices, not forced by doctors or parents or social shaming.

Gender-critical feminists, on the other hand, turn out to hold a very different position: that all interventions into the sexed body are mutilations, not just those imposed without consent. Just as it is a mutilation to surgically alter the innocent bodies of intersex babies, they say, it is a pointless self-mutilation for an adult to choose to have their sexed body medically altered, because sex cannot be changed. …  The only healthy and feminist response to unhappiness with one’s body presented is to learn to accept it as it is. For intersex people, this just replaces the rigid regime of forcing medical interventions with a rigid regime of withholding them. Switching one constraint on intersex people for another isn’t the motivation for this gender critical position–I don’t know if they are even aware that intersex people desire some medical interventions. The main purpose of their argument that one must accept the natural body is to tell trans people that they must give up on the “delusion” that one can be born with a penis but really be a woman, or born with a vagina but really be a man, or born a human being and really be a member of some alternative sex.

This is but one of the many insights Cary Costello’s article offers. At one point, I summarised early TERFs as “lesbians squicking out over potential penis.” It was unabashedly superficial, but I’m not the only one to notice the fixation on genitals.

But participating in discussions with gender crits, it quickly becomes apparent that they are indeed transphobic–and apparently obsessed with penises. They talk about them constantly, and presume that all trans women have them (because they say even a trans woman who has genital reconstructive surgery now simply possesses an “inverted penis”). And penises are always presented as dangerous–“natal [cis] girls” might see them in locker rooms and be traumatized, trans-protective laws would mean no woman could ever be sure the person in the next stall didn’t have a penis, and thus pose a threat to her. This obsession with other people’s genitals and validation of the idea that people should be upset by those with the “wrong ones” runs completely counter to the interests of intersex people. …  In painting trans women’s bodies as deceptive, dangerous and disgusting, transphobic feminists paint those born sex variant with the same brush.

But I didn’t point you to the article just because it pokes holes in TERF ideology; there are excellent observations about the overlap between the trans* and intersex communities, with suggestions for improvement. No spoilers, though, you’ll have to read those for yourself. Cary Costello’s article deserves a second shout-out.

Math Can Be Weird

Take the Cantor function, a “Devil’s Staircase.”

The Cantor function, in the range [0:1]. It looks like a jagged staircase.

It looks like a squiggly mess, yet it is continuous and at almost every point there’s a well-defined slope: perfectly horizontal. The only exceptions are at points along the X-axis which are part of the Cantor set, an uncountable number of points with zero length. Even at one of these points, however, the net vertical increase is zero! We can see this by calculating the limits toward a point with a non-zero slope.

Wikipedia has a good write-up on how to evaluate the Cantor function (I used it in the above approximation).

  1. Express x in base 3.
  2. If x contains a 1, replace every digit after the first 1 by 0.
  3. Replace all 2s with 1s.
  4. Interpret the result as a binary number. The result is c(x).

The point x = 1/3 is part of the Cantor set, and thus satisfies our needs. Following the above rules, the output of the function there is 0.1 in binary, or 0.5 in decimal. Let’s calculate both limits, to get a feel for how much vertical is climbed at that point.

Approaching the limits of C(1/3). Spoiler alert, they both wind up equalling 1/2.

If we approach x = 1/3 from the right, we flatline at y = 1/2 . If  we approach it from the left, we wind up evaluating the geometric series y = 1/4 + 1/8 + 1/16 + … to calculate the height, which gets arbitrarily close to y = 1/2 . The height of the “jump” at x = 1/3 vanishes into insignificance! That’s a good thing, as otherwise the Cantor function’s slope would have approached a vertical line and it wouldn’t be a function.

Calculating the slope of the Cantor function at x = 1/3. Spoiler alert, it approaches a perfectly vertical slope.

Yet even though every single vertical hop is arbitrarily small, it’s obvious the Cantor function has some sort of vertical increase. How else could it contain both (0,0) and (1,1)?  In fact, if you measured the arc length of the Cantor function, it would be two units. Every point where the slope isn’t horizontal it is arbitrarily vertical, so no matter where you put the vertical or horizontal bits you wind up travelling the Manhattan distance between (0,0) and (1,1), which is 2. We know the distance of the horizontal components adds to one unit, since the Cantor set has length 0 and the horizontal distance is 1, so the uncountable number of arbitrarily small vertical “hops” must also have a net length of one unit.

The Cantor function manages to climb vertically without actually climbing vertically. Pretty wild, eh?

Oh, and credit where credit is due, I was introduced to the Cantor function by PBS’s Infinite Series. Check it out for a weekly dose of math.

Journal Club 2: Gender Studies

Last time, we got half-way through Gender & Societyvolume 31 issue 3, June 2017. Before the book reviews, there are two more papers, one of which I’ll cover in this post.

Contemporary Ukraine offers a dynamic case study of how money can be used to restabilize gender relations during rapid social transition. Currently adapting to a market economy, Ukrainians have invented methods of differentiating and gendering money that preserve older ideals of masculinity and femininity. Soviet definitions of masculinity stressed men’s labor in the public sphere and breadwinning in the home (Ashwin 2000). With the collapse of the state and growth of the market, the criteria for masculinity have largely remained the same, but the resources available to men have not. This creates a dilemma that couples must strategize to overcome. Making use of this theoretically illuminating case, I ask: How do couples “gender” money in Ukraine? How is men’s money symbolically different from women’s money? When and how is money used as a prop and tool to construct gender boundaries?

Drawing on 56 in-depth interviews with married and cohabiting individuals, I illustrate how individuals use money to sustain a specific gender ideology, one that both preserves men’s breadwinning status and gives symbolic deference to women’s authority in the home. By outlining this process, I demonstrate how money helps constitute gender structures.

Anderson, Nadina L. “To Provide and Protect: Gendering Money in Ukrainian Households.” Gender & Society 31.3 (2017): 360-361.

Part of the reason why the second part of this series took to long is that I fell down a few rabbit-holes. Some of the citations were especially fascinating; I love historic accounts of social issues, because our ancestors often had a very different perspective on things. For instance, imagine the following scenario: a small child is killed by a light rail train, as many places use for public transit. What would happen nowadays? I’m pretty confident you wouldn’t answer with this:

The motorman [electric train car driver] “had a narrow escape from violence of a mob estimated by police… to have been 3,000 strong.” Press accounts describe the girl’s father as “so frenzied with grief that he had to be forced to give up a frantic attempt on the motorman’s life.”

Zelizer, Viviana A. Rotman. Pricing the priceless child: The changing social value of children. Princeton University Press, 1985. pg. 22-23.

Nor would you answer with what was common before that:

Until the eighteenth century in England and in Europe, the death of an infant or a young child was a minor event, met with a mixture of indifference and resignation. As Montaigne remarked, “I have lost two or three children in infancy, not without regret, but without great sorrow.” Laurence Stone, in his investigation of the English family, found no evidence of the purchase of mourning, not even an armband, when a very young child died in the sixteenth, seventeenth, and early eighteenth centuries. Parents seldom attended their own child’s funerals.

Ibid. pg. 24

There must surely be a question burning in your brain at this moment: why? Why did our view of child death shift so dramatically in less than a century, then shift again to the modern view? Which society has the “best” view? Through studying how we used to view issues, we shed light on our contemporary views. We can accomplish the same by studying other cultures.

The Soviet state declared motherhood a public good and directly paid mothers for the production of children (Ashwin 2000). Ukrainian women were not confined to the home during industrialization, nor were they seen as warm, altruistic dependents of men (Utrata 2015). Soviet culture championed male breadwinning in part because it minimized men’s role in the home and subdued private patriarchy, which was a major threat to communist solidarity (Ashwin and Lytkina 2004). Ideologically, the “progress” of white couples in Moscow was contrasted with the “backward” practices of the Tatars, Kyrgyz, Tajik, and other minorities, who were deemed inferior in part because they clung to sexist, religious ideals of private patriarchy (Harris 2004). Gender equality was championed, not by eradicating gender boundaries but by emphasizing marriage-as-partnership and a gendered division of labor (Ironside 2014).

Anderson 2017, pg. 365

It’s like looking at a fun-house mirror; we find a sexist division of labour similar to what’s in North America, but with the tweak that motherhood is rewarded both culturally and financially. The Ukrainian system follows the ideal of “separate but equal” a lot better than ours.

Alas, the methodology of this study is weak, consisting of a convenience sample coded by the researcher themselves. It’s still valuable in that it establishes plausibility, leaving the door open for better designed studies to outline the more quantitative aspects. It also provides some insights into the symbolic use of money, something (apparently) rarely considered in the literature.

For men, the act of giving money to their wives, signaled deference to women’s superior knowledge of consumption and household affairs. Men were able to wash their hands of money: letting managing be a women’s task. For women, breadwinning money signaled that men cared and trusted them; it was tangible evidence that men contributed to the marital relationship. Breadwinning money was valued, not for what it could buy in a market context, but for what it symbolized to the partners (i.e., deference, respect, and care). By contributing something, however small, poor men could still engage in this symbolic exchange. … For the symbolic exchange to occur, men’s contribution had to be earmarked and separated from other monies in the household. This prompted couples to “gender” money — to exchange, separate, and earmark money in ways that highlighted men’s earnings and made them more visible in the household.

Ibid. pg. 368-369

To us in North America, money symbolises power rather than equality or trust. Interestingly, a few of the Ukrainian couples did treat money as an expression of power:

Two men attempted to restrict women’s spending by allotting them money based on expressed need. This interrupted the symbolic exchange of men’s money. If women had to beg or ask for money, men’s breadwinning money no longer symbolized his respect for her feminine expertise in the home. The conflict that ensued had an interesting consequence: namely, when partners disagreed about the meaning of money in exchange, money in the home began to resemble money in the market — the partner with more money had more control.

Ibid. pg. 377.

There’s a faint odour of economic abuse here, but the sample size is much too small to be insightful. Still, this is one study I’d love to see some follow-up on.

Dreams Come True?

Oh man, that British election… early results are a disaster for the Tories. No time for analysis now, but I’ll try and type something up later. Until then, watch that link.

As I type this, at about 6AM on June 9th in Britain, the Conservatives sit at 307 seats. They need an additional 19 to earn a majority… yet there are only 18 up for grabs. Overall, they’ve lost 12 seats while their rivals the Labour party gained 30. That majority is lost, let alone the gain they wished would signal a mandate. The Scottish National Party has suffered major losses, but UKIP have been wiped out of parliament. The Liberal Democrats, a former powerhouse that’s fallen on hard times, have seen impressive gains. There’s a chance Labour could form a coalition and take control of government.

Add in the record number of women elected as MPs (192, out of 650), and this is a night for progressives to cheer. It’s not a perfect outcome, as Labour also want to leave the EU, but it’ll do nicely.

Rather than chew your ear off with further details, I’ll defer to H. Bomberguy‘s setup for the election.

Sometimes, Bugs are Inevitable

Good point:

“Hacking an election is hard, not because of technology — that’s surprisingly easy — but it’s hard to know what’s going to be effective,” said [Bruce] Schneier. “If you look at the last few elections, 2000 was decided in Florida, 2004 in Ohio, the most recent election in a couple counties in Michigan and Pennsylvania, so deciding exactly where to hack is really hard to know.”

But the system’s decentralization is also a vulnerability. There is no strong central government oversight of the election process or the acquisition of voting hardware or software. Likewise, voter registration, maintenance of voter rolls, and vote counting lack any effective national oversight. There is no single authority with the responsibility for safeguarding elections.

You run into this all the time when designing systems. One or more of the requirements are a dilemma, pitting one need against another. Ease-of-use vs. security, authentication vs. anonymity, you know the type. Fixing a bug related to that requirement may cause three more to pop up, and that may not be your fault. The US election system is tough to hack, because it’s a patchwork of incompatible systems; but it’s also easy to hack, because some patches are less secure than others and the borders between patches lack a clear, consistent interface. Solving this sort of problem usually means trashing the system and starting from scratch, with a long, extensive consultation session.

Oh yeah, and an NSA report provides evidence that Russia hacked some distance into US voting systems. The Intercept also outed their source, the reporters somehow forgot that all colour printers output a unique stenographic code while printing. That doesn’t speak highly of them, the practice is decades old, and they should have know this as the Intercept was founded on sharing sensitive documents.

[HJH 2017-06-19: A minor update here.]