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If you tied a rope tight around the Earth’s equator and then added a single yard of slack, would the extra material make any noticeable difference to someone standing on the ground? Yes, actually. The answer comes as a surprise to most people, but the additional bit of rope raises it high enough off the ground for our eyes to easily discern it, and our feet to easily trip over. That fact might seem trivial, but the early 20th-century philosopher Ludwig Wittgenstein believed that this chasm between human intuition and physical reality revealed something important about the fallibility of our thinking. After all, if something that seems obvious to almost everyone can be totally false, what else might we be wrong about? This video from the Center for Public Philosophy at the University of California, Santa Cruz breaks down the mathematics behind Wittgenstein’s knotty example, and asks whether it should make us all feel a bit less certain about even our most deeply held beliefs.
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Earth science and climate
The only man permitted in Bhutan’s sacred mountains chronicles humanity’s impact
22 minutes
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The ancient world
An ancient Roman’s hilarious (and perhaps relatable) response to a social snub
2 minutes
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Ethics
For Iris Murdoch, selfishness is a fault that can be solved by reframing the world
6 minutes
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Death
A hunter’s lyrical reflection on the humbling business of being mortal
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Love and friendship
After his son’s terrorist attack, Azdyne seeks healing – and his granddaughter
25 minutes
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Art
More than breathtaking, ‘The Birth of Venus’ signalled an aesthetic revolution
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Childhood and adolescence
Striking shadow puppetry illuminates a skater kid’s memories of Boy Scout camp
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Values and beliefs
A Zen Buddhist priest voices the deep matters he usually ponders in silence
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Rituals and celebrations
Meet the entrepreneur whose business is crafting perfect peak experiences
12 minutes