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One can argue that the preeminence of each civilization was, in part, due to their sophisticated understanding and use of mathematics. This is particularly clear in the case of the West, which forged ahead in the 17th century with the discovery of calculus, one of the greatest scientific breakthroughs of all time.

The United States became the dominant force in the mathematical sciences in the wake of World War II, largely due to the disastrous genocidal policies of the Third Reich. The Nazis’ obsession with purging German science of what it viewed as nefarious Jewish influence led to a massive exodus of Jewish mathematicians and scientists to America

Indeed, academic institutions in the United States have thrived largely because of their ability to attract talented individuals from around the world.

The Associated Press today added an entry on mental illness to the AP Stylebook.

This isn’t only a question of which words one uses to describe a person’s illness. There are important journalistic questions, too. “When is such information relevant to a story? Who is an authoritative source for a person’s illness, diagnosis and treatment? These are very delicate issues and this Stylebook entry is intended to help journalists work through them thoughtfully, accurately and fairly.”

The Associated Press is the essential global news network, delivering fast, unbiased news from every corner of the world to all media platforms and formats.

The American philosopher Wilfrid Sellars was challenging this assumption when he spoke of “material inferences.” Sellars was interested in inferences that we can only recognize as valid if we possess certain bits of factual knowledge.

If we make room for such material inferences, we will be inclined to reject the view that individuals can reason well without any substantial knowledge of, say, the natural world and human affairs. We will also be inclined to regard the specifically factual content of subjects such as biology and history as integral to a progressive education.

according to Wittgenstein, is why it is wrong to understand algorithm-based calculations as expressions of nothing more than “mental mechanisms.” Far from being genuinely mechanical, such calculations involve a distinctive kind of thought.

The law, approved last March by Israel's legislating Knesset, requires models to prove they have maintained a Body Mass Index (BMI) of at least 18.5 for three months prior to a fashion shoot or show.

"This law is another step in the war against eating disorders,"

But critics of the law in this country say it and others like it—the Madrid Fashion Show's ban on women whose BMI is below 18, for example, and Milan's Fashion Week's ban on models with a BMI below 18.5—are misguided, focusing on weight instead of health.

I am a deluded throwback to carefree days, and in my attempt to raise a conscious, creative and socially and environmentally responsible child while lacking the means to also finance her conscious, creative and environmentally and socially responsible lifestyle forever, I’d accidentally gone and raised a hothouse serf. Oops.

Reich’s thesis is that some inequality is inevitable, even necessary, in a free-market system. But what makes an economy stable and prosperous is a strong, vibrant, growing middle class. In the three decades after World War II, a period that Reich calls “the great prosperity,” the G.I. Bill, the expansion of public universities and the rise of labor unions helped create the biggest, best-educated middle class in the world. Reich describes this as an example of a “virtuous circle” in which productivity grows, wages increase, workers buy more, companies hire more, tax revenues increase, government invests more, workers are better educated. On the flip side, when the middle class doesn’t share in the economic gains, it results over time in a downward vicious cycle: Wages stagnate, workers buy less, companies downsize, tax revenues decrease, government cuts programs, workers are less educated, unemployment rises, deficits grow. Since the crash that followed the deregulation of the financial markets, we have struggled to emerge from such a cycle.

What if the kid got it in her head that it was a good idea to go into public service, the helping professions, craftsmanship, scholarship or — God help her — the arts? Wouldn’t a greedier, more back-stabby style of early education be more valuable to the children of the shrinking middle class ­ — one suited to the world they are actually living in?

A myth is a narrative that people tell to express their most basic views about what the world is like and how they should live in it. The myth serves that purpose whether it’s totally false, totally true, or (as is usually the case) some mixture of the two.

Fact-checking the myth is irrelevant to its role in the lives of the people who tell it.  They do not judge it by whether it can be proven factually true. Rather, it shapes their view of truth; it tells them what they can accept as factually true and what they must consider false. So they act out their myth in a ritual to reinforce their commitment to truth as the myth teaches them to see it -- or so the old theory goes.

What happens when fact-checking itself becomes a ritual? I don’t have quantitative data, but it seems to me that we have much more fact-checking in this presidential election than in any election before

Can you get smarter by exercising — or altering — your brain?

Although improvements were observed in every cognitive task that was practiced, there was no evidence that brain training made people smarter.

Our brain has remarkable neuroplasticity; that is, it can remodel and change itself in response to various experiences and injuries. So can it be trained to enhance its own cognitive prowess?The multibillion-dollar brain training industry certainly thinks so and claims that you can increase your memory, attention and reasoning just by playing various mental games.

But according to Stuart Ritchie, an intelligence researcher at the University of Edinburgh, there's a massive amount of data showing that it's one of the best predictors of someone's longevity, health, and prosperity

In a new book, Intelligence: All that Matters, Ritchie persuasively argues that IQ doesn't necessarily set the limit for what we can do, but it does give us a starting point

Most people you meet are probably average, and a few are extraordinarily smart. Just 2.2 percent have an IQ of 130 or greate

“go to college” is such a proven prescription

college graduates have lower unemployment rates, earn higher wages and even have longer-lasting marriages

7.2 million students who need federal loans to attend college

The general atmosphere embraces feminism, civil rights, egalitarianism and environmentalism, but it is expressed as academic discourse, not as action on the streets.

On the spiritual side they hunger for a vehement crusade that will fulfill their moral yearnings and produce social justice.

The identity politics the students have produced inverts the values of the meritocracy. The meritocracy is striving toward excellence; identity politics is deeply egalitarian.

Why Do We Teach Girls That It’s Cute to Be Scared?

Apparently, fear is expected of women.

parents cautioned their daughters about the dangers of the fire pole significantly more than they did their sons and were much more likely to assist them

Maps, as I've written before, are inherently subjective—no matter how detailed or scientific, they reflect our worldview and the age in which we're living, not to mention the difficulty of projecting a spherical globe onto a plane surface.

Now compound these challenges by asking 30 people to sketch a map of the world from memory.

The most interesting reaction to Ziebell's project has been overseas, where the warped, blobby maps seem to have reinforced stereotypes about geographically illiterate Americans (all but one of the participants, by Ziebell's reckoning, were from the U.S.). Under the headline, "Here's how American students view the world,"

25% of American respondents answered that the sun orbits the Earth [1]. A recent AP-GFK poll found that as many as 4 in 10 American adults doubt evolution, over half aren't confident that the Big Bang took place, just under 40% don't believe that pollution is causing climate change

When teaching science, teachers have to contend with students' old ideas of how the world works, an uphill battle where the old ideas have the advantage.

Children are exposed to scientific ideas at around age eight, when they become able to understand abstract concepts. Before that age, children rely on "magical thinking" to explain how the world exists and works, so, science education faces a tough challenge right from the start

Now Ms. Hopewell, 37, is ebullient, and full of smiles, hugs and laughs. After spending the last three and a half years studying forensic psychology at the John Jay College of Criminal Justice in Midtown, it was official: She was a college graduate, the first in her family.

“But at the end of the day I know it’s beneficial for my family and I want bigger and better things, and I have to do it.”

I want to leave a legacy for my kids when I leave this earth, and living paycheck to paycheck is not going to get it.