by Raji Jayaraman and Peter N Burns*

We both have daughters who are good at math, but opted out of advanced math. In so doing, they effectively closed off entry into math-intensive fields of study at university such as physics, engineering, economics, and computer science. They used to be enthusiastic about math, but as early as grade three this enthusiasm waned, and they weren’t alone. It was a pattern we observed repeatedly in their female friends during those early school years, as boys slowly inched ahead.

This turns out to be something of a statistical regularity. Girls don’t start school hating math or doing worse at it than boys. Then, somewhere in elementary school, this changes for many girls and in some (though not all) countries, a gender gap in math performance appears. The reasons why girls sometimes begin to dislike or slip behind in math are important, wide-ranging and controversial, with scientists, psychologists,  sociologists, and others all weighing in. What often starts as small fissure in test performance in childhood seems to be locked in by the onset of puberty. At this stage kids hit high school where they get to choose their subjects, and the great divergence is set in motion. Girls disproportionately opt out of math-intensive subjects. From there, there’s really no turning back. Girls tend to study subjects, and graduate with degrees in fields, that have lower math requirements. In the U.S., women receive only about a quarter of bachelor’s degrees in physics, engineering and computer science; the pattern persists in graduate school. That there are tragically few women in these professions, is a logical consequence.

What is remarkable about this great divergence is that the size of the initial gender gap in average math performance is itself, pretty unremarkable—typically under a quarter of a standard deviation depending on the country. In fact, in many countries, girls do at least as well as boys on average, and girls are well represented in the top tail of the math performance distribution. In short, girls do well in math by many metrics, both in absolute terms and relative to boys, and yet they opt out of math. Why is that? Read more »

Wu Tsang, boychild. Untitled. 2019.

More here, here, and here.

by Jackson Arn

This could all be circular.
Not self-swallowing like the staircase
from the poster, I mean circular
as in smooth rows of endless smooth stacks
perpendicular to pain, touching on a plane
but only one, so air bubbles
and grains of sand left in the loaf
remember their orders and lend
a noble cause their roughness—
who brings a harp to an island?

I can tell you don’t believe me and
are too polite to wince. Sometimes I wish
I didn’t need your vote. Then I
could drift with purpose instead of at odd hours
between naps and chopping onions. As it is,
we’ll drift together until our vectors
pull us apart or, better, pull the shoreline here
so we can drift in place, chattering
about the blue pond by the blue window,
the pilgrimage between your thumb and me.

by Joseph Shieber

The philosophical world has recently been abuzz about Susanne Bobzien’s argument that Gottlob Frege — often taken to be one of the founding figures of what became 20th century analytic philosophy — plagiarized many of his logical positions from the Stoics.

Bobzien’s charge isn’t merely idle speculation. In her paper, descriptively titled “Frege Plagiarized the Stoics”, Bobzien brings the receipts. In painstaking detail, she demonstrates the ways in which many of Frege’s signature views — previously often thought to have been radical innovations in logic and philosophy of language — mirror almost verbatim the language of the chapter on Stoic logic in Carl Prantl’s influential Geschichte der Logik im Abendland (History of Logic in the West).

In painstaking detail, Bobzien lays out her case that not only was Frege strongly influenced by Stoic ideas, but also that he copied those ideas from one source, Prantl:

First, it is vastly more likely that Frege obtained his knowledge of Stoic logic from one text, rather than from browsing through the dozens of Greek and Latin works with testimonies on Stoic logic that Prantl brings together. (Of the hundreds of Stoic logical works, not one has survived in its entirety and we are almost completely dependent on later ancient sources.) Second, virtually all parallels between Stoics and Frege are present in Prantl, and some important elements of Stoic logic without parallels in Frege are missing in Prantl. … Third, there are several misunderstandings or distortions of Stoic logic in Prantl which do have parallels in Frege.” (pp. 8-9 of Bobzien’s paper linked above)

In one sense, it’s hard to exaggerate the significance of Bobzien’s findings. In the words of Ray Monk, the acclaimed biographer of Ludwig Wittgenstein and Bertrand Russell, “it is Frege who [of the triumvirate of Frege-Russell-Wittgenstein] is—100 years on from his retirement—held in the greatest esteem by the philosophers of today.” Read more »

by Brooks Riley

Photo taken two days ago of the main church in the town of Welschnofen in the Eggental valley of the South Tyrol.

by Eric Miller

Flat cap

For my part, the plank staircase angling by rickety twitches cliff-side down to Wreck Beach reminds me of the steps that stagger toward the Whirlpool below Niagara Falls. Each increment here in British Columbia is too short—each increment there, on the frontier of Ontario, too long. Yet a kind of music accompanies treading down both, we play them like a keyboard, the music of inhibition and the music of extension.

I cannot for the longest time glimpse saltwater. Can you see it? I perceive cedars and arbutus, and observe the adjacent protean precipitousness of tumbling rills, ruffled like fern leaves, rippling like otters. These waters don’t have to flex their knees. Every time we think it’s over the creaking flight continues! I have the time to think of Ontario, and to think of how the British conceived of the Niagara River as a part of the Saint Lawrence, and to think of characters I have conceived, members of the British party going upstream to administer the new province of Upper Canada, the year being 1792. Now, like Dante in La Vita Nuova, let me provide a context for the cameo with which I hope to entertain you as, lurching ourselves a little woodenly, imitating thus the boards of hundreds of discrete steps that support our resolve, we bring ourselves, with luck, onto the sea-level reach of Wreck Beach. There is something prosodic and stirring about staircases is there not? They are symbols of so much! To descend a staircase is not necessarily an anticlimax is it?—in spite of etymology. Read more »

by Alexander C. Kafka

The disappointing new film Bliss is maddening in ways both intended and surely unintended. A heady rumination on the nature of reality featuring two bright stars in quirky character roles was an attractive proposition, but it doesn’t pan out.

The film sometimes conveys a real sense of dissociation. The script could have been honed with that goal in mind and become a workable study of two drug-addled down-and-outs, Greg and Isabel (Owen Wilson and Selma Hayek), living in a tent city on the streets of L.A. 

Alternatively, Bliss could have been a pure sci-fi reverie as we learn that the couple’s gritty misadventures are actually a computer-simulated role-playing game devised in another L.A. of affluence, comfort, and ease. In lounges, players access the virtual reality through tubes up their noses connected to large tanks with floating brains. Take that, Xbox! This provocatively reverses the premise of the Matrix franchise, in that rather than being slaves to technological overlords, humanity has been freed by its own digital prowess, revisiting a synthesized street life only as a reminder of the pollution, poverty, and mayhem civilization has overcome.  Read more »

by Martin Butler

Both morally and politically, equality is a powerful ideal. Over the last two centuries it has been one of the fundamental demands of most movements aimed at improving society. The French Revolution is the paradigm case. Despite its enduring relevance, however, equality has always been a somewhat vague ideal. It was hardly a problem for the revolutionaries in France, where the difference between the aristocracy and the sans-culottes was so stark that further elaboration was unnecessary.  Over the years, however, the question ‘equality of what?’ has become more pressing, and many answers have been highlighted: equal rights, equal pay, equal treatment, equal opportunities, equality under the law, equality of outcome, to name but a few. Rather than just looking at these answers, perhaps we should start by identifying the source of the ideal of equality’s ethical power, and see where this leads us.

It seems to me that there are at least two powerful ethical justifications, which, although overlapping lead in somewhat different directions. The problem is that one of these has tended to dominate over the other. One source arises from an obvious principle of rationality. It is clearly irrational to treat people differently for irrelevant reasons. Parentage, accent, race, age, wealth, gender, social class, sexual orientation, religious belief, physical attractiveness, etc. are in most cases completely irrelevant to a person’s capacity to play a particular role in society. In the past, privilege, tradition and prejudice have been the main reasons why irrelevant factors have been treated as relevant in the selection of individuals for particular roles, especially those associated with power and prestige. Only with the enlightenment did the irrationality of this tendency begin to be felt, and ever since, there has been slow but steady progress towards disregarding it.  Of course, it is rational not to treat people equally with regards to factors that are relevant to that role. We have no problem in discriminating when it comes to giving some people and not others jobs on the basis of their ability to perform those jobs, or giving some people and not others a place on a course of study based on their capacity benefit from that course. But there must be equality of opportunity to be considered for those roles. The irrelevances listed above should not interfere with the process of getting to the starting blocks, even if it is clear that not everyone can win the race.

This compelling narrative of ‘equal opportunities’ has become the pre-eminent expression of the ideal of equality in modern liberal democracies, a conception of basic fairness which is about removing barriers and creating a level playing field. In recent years this has led to a focus on policies that attempt to create this level playing field. This powerful ethical argument is supported by pragmatic considerations. Nobody wants a doctor chosen from a limited pool of candidates. Equal opportunities allow us to get the right people onto the starting blocks so that the one who wins is more likely to be the fastest, rather than the fastest from a skewed and therefore limited selection. Equal opportunities is both fair recruitment and smart recruitment.

However, the story starts to get more complicated if we pursue this ideal further still. Read more »

by Usha Alexander

[This is the eighth in a series of essays, On Climate Truth and Fiction, in which I raise questions about environmental distress, the human experience, and storytelling. All the articles in this series can be read here.]

In the late fifteenth century, European seafarers began searching for what they called the “Northwest Passage,” a fabled route across the Arctic Ocean, which would allow them to sail northward from Europe directly into the Pacific in search of fortune. But the Arctic of their time, during the so-called Little Ice Age of the fourteenth to mid-nineteenth centuries, was covered by thick, impenetrable sheets of ice and densely packed icebergs. Nor had they any reasonable expectation that the great mass of ice would soon melt away. That they imagined finding a reliably navigable route through a polar sea seems to me a case of wishful thinking, a folly upon which scores of lives and fortunes were staked and lost, as so many adventurers attempted crossings, only to flounder and often die upon the ice.

But now that the Arctic sea ice is melting away, the Northwest Passage has become real in a way the adventurers of old could not have dreamed. Today, nations encircling the Arctic Ocean jockey for control of its waters and territorial rights to newly exposed northern continental shelves, which promise to be full of oil and gas. What had been a deadly fantasy is now a luxury cruise destination flaunting an experience of rare wonder, including opportunities to watch polar bears on the hunt. “A journey north of the Arctic Circle is incomplete without observing these powerful beasts in the wild,” entices the Silversea cruises website, with nary a note about the bears’ existence being threatened by the very disintegration of their icy habitat that makes this wondrous cruise possible. Meanwhile, in China, the emergent northern sea routes have been dubbed the Polar Silk Road, projecting a powerful symbol of their past wealth and influence onto an unprecedented reality.

By now, we’re all aware that the planet is profoundly changing around us: angrier weather, retreating glaciers, flaming forests, bleaching coral reefs, starving polar bears, disappearing bees. Yet how blithely we go on making plans, as though the future will follow as neatly and predictably from today, as today did from yesterday. From buying a new beachside home to booking a cabin in the redwoods a year in advance, the ongoing planetary changes apparently figure little in the plans so many people make. It seems I regularly read articles in which mainstream economists make predictions that entirely disregard the changing climate and collapsing biodiversity, as though these concerns lie beyond our economies. Even governments and corporations who seek to profit from changes like the opening of the Arctic Ocean often presume themselves the drivers of “disruption,” creating new market opportunities in an otherwise stable or predictable world. They don’t seem to recognize that the true nature of what’s upon us might just be greater than they imagine and far more consequential. Read more »

Luchita Hurtado. Untitled, 1971.

More here, here, and here.

by Rafaël Newman

In the summer of 1977 my father invited me to tea at the Hotel Grande Bretagne in Athens. I had turned 13 that spring, and instead of a bar mitzvah, prohibited by matrilineal descent and an antipathy to organized religion, my father and I were en route to Israel, to visit the kibbutz where he had worked in the mid-1950s. We had flown from Vancouver to Amsterdam, proceeded by train to Rome, and continued by rail across Italy to Brindisi, by ferry to Patras, and by coach to Athens. From there we would eventually embark, at Piraeus, on the crossing to Haifa; for the moment we were enjoying some sightseeing in the Greek capital.

We were by now already several days into a three-week trip and I was slowly adjusting to the oddness of being alone with my father in unfamiliar territory. At our first stop the exciting absurdity of the canals in Amsterdam had made up somewhat for nine hours of jetlag; my New World teenage composure, however, was tested by the shared bathroom on the corridor of our Dutch hotel. It was the first of several jarring encounters. On the train bound south from Holland we were interrogated at the German border by a customs guard, who had entered our sleeping compartment and, at the sight of a youth with an older man, their journey having originated in Amsterdam, had me roll up my sleeve so he could check for tracks. Later, in the dormitory of the youth hostel in Rome in which my father’s salary as an assistant professor had billeted us, I awoke in my bunkbed to see a fellow guest naked in the middle of the room, gingerly applying salve to his posterior. Read more »

by R. Passov

I had hand-written a simple essay: My father is in prison, my mother works, welfare helps and I got a 1310 on my SATs. The letter of acceptance from UCLA was short  – we’re happy to let you know….

The hill leading to the main quad of the UCLA campus is terraced into three landings by flat, wide brick stairs built in the late 1920’s, depression-era stimulus. By the time I got there, Bel Air, Beverly Hills, and Westwood surrounded that hill.

An old Daily Bruin lay on the ground. Past the comings and goings of Bruin Life, blond and blue, basketball, tennis and good teeth, I found a classified ad: Wanted, cook for a professor’s family, free room and board, walking distance to campus.  

I can cook, I thought. Walking distance was a plus. I found a payphone, heard age in the voice that answered along with an English that came from afar and was invited to interview.

I found the house a few blocks into the hills above Sunset Blvd. Dr. Mommarts was tall, slender, newly old, easy. His white-blond hair fell uncombed. His soft brown eyes, protected by wild eyebrows. He spoke with an accent, in proper English, yet his words lacked edge, one ending after the next began.

He assumed I would not have responded to the ad without having knowledge of cooking. I got a brief tour of a modern one-story home anchored by a single hallway whose wall was a long stretch of glass, rimming a flat yard. “Here’s the kitchen,” he said. There were two rooms, one with a sink, counter space, stove, oven. And a second with cabinets, a second sink and a wide wooden table. “And the preparation room.”

From the kitchen we walked down the hallway, past the end of the windows, to a small room with a single bed and a dresser, located near to a bathroom. “Here’s where you’ll stay,” he said and that was it. I was a cook. Read more »

by Philip Graham

I’ve long been partial to Portuguese culture, so when Portugal transferred its last colonial holding, Macau, back to Chinese rule in 1999 , a friend surprised me with his marveling reaction: “Portugal had an empire? Who knew?”

Perhaps his reaction shouldn’t have surprised me. In the United States, steeped as we are in the history of the United Kingdom’s “empire on which the sun never sets,” few are aware that the Portuguese accomplished the first European globe-spanning empire, beginning in the 15th century.

When I lived in Lisbon for a year, I noticed that my Portuguese friends wrestled with the legacy of their country’s history. They felt pride at the achievements of their intrepid ancestors’ global reach. But they also felt shame, because while all empires break too much before they reshape the chaos they created, Portugal’s empire was especially bad.

The Portuguese initiated the transatlantic slave trade in 1444, which has bedeviled and tormented much of the world ever since. Sixty years later, the Viceroy Alfonso Albuquerque expanded Portuguese power not only as exploration for economic reasons, but as a brutal crusade against Islam. By 1580, the empire extended from Brazil to Africa, from India to Malaysia and on to the Indonesian island of Timor.

So what happened to this Portuguese empire, which now no longer exists? Read more »

by Brooks Riley

by Eric J. Weiner

There is never time in the future in which we will work out our salvation. The challenge is in the moment; the time is always now. —James Baldwin

Before the pomp and circumstance of Joe Biden and Kamala Harris’s inauguration officially framed the white supremacist insurrection at the Capitol on January 6 an outlier of U.S. history, an affront to American Exceptionalism, and a brief pause in the Nation’s moral progress, there was a lot of talk about the “big lie” that precipitated it. I expect, with the impeachment trial scheduled to begin next week, that we will again hear quite a bit about the “big lie” and its power to change water into wine. Historically, the big lie, lobbed in concert with many smaller lies, is the one that tips the scale of reason, fuels delusional thinking, and provides the foundation for all kinds of violence and hate. Hitler knew it when he perpetuated the big lie about Jews running a global cabal. And Trump knew it when he repeatedly told the big lie about a rigged and stolen election. Timothy Snyder, the Levin Professor of History at Yale University and author of On Tyranny (2017) says, “There are lies that, if you believe in them, rearrange everything…a big lie is a lie which is big enough that it tears the fabric of reality.” When enough people believe in the big lie, and their beliefs have time to ferment and spread, the big lie becomes a spectacle.

“The spectacle,” as Guy Deborg explained, “is not a collection of images, but a social relation among people, mediated by images… It is a world vision which has become objectified.” Right-wing corporate media and social media platforms, during the past five years, have helped to construct and disseminate the spectacle of the big lie, turning facts into a matter of perspective and words/images into weapons of mass delusion. From the ashes of “the real” arise the rational irrationality of relativistic thinking. The Trumpist cult of mass delusion, aided and abetted by corporate and social media, is unified by the spectacle of the big lie while becoming an integral part of it. But however dangerous the spectacle of the big lie is to democracy, it is not the most pernicious and dangerous lie in America. In fact, Trump’s big lie could not have become the spectacle it did had a bigger lie not preceded it. Read more »