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28 May 2016 08:49 PM EST

Helping to map the strange boundary across the finite and the infinite, two young mathematicians have found a bridge across the finite-infinite divide, with a surprising new proof.
The boundary does not pass between some huge finite number and the next, infinitely large one. Instead, it separates two kinds of mathematical statements: “finitistic” ones, which can be proved without invoking the concept of infinity, and “infinitistic” ones, which rest on the assumption—not evident in nature—that infinite objects exist.
Theodore Slaman, a professor of mathematics at the University of California, Berkeley, said mapping and understanding this division is “at the heart of mathematical logic." The endeavor leads directly to questions of mathematical objectivity, the meaning of infinity and the relationship between mathematics and physical reality.
The new proof was completed by 34 year old Keita Yokoyama, and 27 year old Ludovic Patey.

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28 May, 2016
Will Mitt Romney Stand Against Donald Trump?

The Republican party battlefield is strewn with Donald Trump’s former competitors and critics, many of whom have risen only to rally to his side. But Mitt Romney, the party’s last nominee for president, has refused to capitulate, speaking forcibly against the billionaire even as he marched... Read more

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National Parks May Limit Visitors‬

As the National Park Service kicks off a centennial summer expected to draw record crowds, the agency is seriously considering caps on how many people pass through some of the country's most iconic landscapes and historical sites each day. Park managers have begun looking at whether, when and how best... Read more

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Katie Couric gun control film has angered viewers‬

When news anchor Katie Couric debuted her documentary Under the Gun earlier this month, she billed it as a balanced look at the gun control debate. There was a “huge silent majority” of gun owners, she said, who supported moderate gun control measures, and that many National Rifle... Read more

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Actress Margot Robbie Bares All For Charity‬

This year, America is making sure the public understands just what 'Red Nose Day' is. The campaign over the last 25 years has raised over a billion dollars using comedy to help kids that fall below the poverty line. In her own efforts to spread awareness about the charity drive, actress Margot... Read more

28 May, 2016
Five Places Where You Can Get Great Memorial Day Deals‬

It's Memorial Day weekend, which means it's time to hang out with family, fire up the grill, and, of course, get in on some serious sales! With just about every retailer offering some sort of discount this holiday, you'll have no shortage of options. NBC News has compiled a list of five retailers... Read more

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