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Explore the biggest question of all. How far do the stars stretch out into space? And what's beyond them? In modern times, we built giant telescopes that have allowed us to cast our gaze deep into the universe. Astronomers have been able to look back to near the time of its birth. They've reconstructed the course of cosmic history in astonishing detail. From intensive computer modeling, and myriad close observations, they've uncovered important clues to its ongoing evolution. Many now conclude that what we can see, the stars and galaxies that stretch out to the limits of our vision, represent only a small fraction of all there is. Does the universe go on forever? Where do we fit within it? And how would the great thinkers have wrapped their brains around the far-out ideas on today's cutting edge? For those who find infinity hard to grasp, even troubling, you're not alone. It's a concept that has long tormented even the best minds. Over two thousand years ago, the Greek mathematician Pythagoras and his followers saw numerical relationships as the key to understanding the world around them. But in their investigation of geometric shapes, they discovered that some important ratios could not be expressed in simple numbers. Take the circumference of a circle to its diameter, called Pi. Computer scientists recently calculated Pi to 5 trillion digits, confirming what the Greeks learned: there are no repeating patterns and no ending in sight. The discovery of the so-called irrational numbers like Pi was so disturbing, legend has it, that one member of the Pythagorian cult, Hippassus, was drowned at sea for divulging their existence. A century later, the philosopher Zeno brought infinity into the open with a series of paradoxes: situations that are true, but strongly counter-intuitive. In this modern update of one of Zeno's paradoxes, say you have arrived at an intersection. But you are only allowed to cross the street in increments of half the distance to the other side. So to cross this finite distance, you must take an infinite number of steps. In math today, it's a given that you can subdivide any length an infinite number of times, or find an infinity of points along a line. What made the idea of infinity so troubling to the Greeks is that it clashed with their goal of using numbers to explain the workings of the real world. To the philosopher Aristotle, a century after Zeno, infinity evoked the formless chaos from which the world was thought to have emerged: a primordial state with no natural laws or limits, devoid of all form and content. But if the universe is finite, what would happen if a warrior traveled to the edge and tossed a spear? Where would it go? It would not fly off on an infinite journey, Aristotle said. Rather, it would join the motion of the stars in a crystalline sphere that encircled the Earth. To preserve the idea of a limited universe, Aristotle would craft an historic distinction. On the one hand, Aristotle pointed to the irrational numbers such as Pi. Each new calculation results in an additional digit, but the final, final number in the string can never be specified. So Aristotle called it "potentially" infinite. Then there's the "actually infinite," like the total number of points or subdivisions along a line. It's literally uncountable. Aristotle reserved the status of "actually infinite" for the so-called "prime mover" that created the world and is beyond our capacity to understand. This became the basis for what's called the Cosmological, or First Cause, argument for the existence of God. #universedocumentary #spacedocumentary #Universe
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Cardi B heads to the West Coast for a carpool around Los Angeles with James Corden airing Monday, December 17 on CBS. More Late Late Show: Subscribe: http://bit.ly/CordenYouTube Watch Full Episodes: http://bit.ly/1ENyPw4 Facebook: http://on.fb.me/19PIHLC Twitter: http://bit.ly/1Iv0q6k Instagram: http://bit.ly/latelategram Watch The Late Late Show with James Corden weeknights at 12:35 AM ET/11:35 PM CT. Only on CBS. Get new episodes of shows you love across devices the next day, stream live TV, and watch full seasons of CBS fan favorites anytime, anywhere with CBS All Access. Try it free! http://bit.ly/1OQA29B --- Each week night, THE LATE LATE SHOW with JAMES CORDEN throws the ultimate late night after party with a mix of celebrity guests, edgy musical acts, games and sketches. Corden differentiates his show by offering viewers a peek behind-the-scenes into the green room, bringing all of his guests out at once and lending his musical and acting talents to various sketches. Additionally, bandleader Reggie Watts and the house band provide original, improvised music throughout the show. Since Corden took the reigns as host in March 2015, he has quickly become known for generating buzzworthy viral videos, such as Carpool Karaoke."
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Donald Trump claims he didn't know that Michael Cohen, the fixer who got helped him get away with illegal activities, was committing illegal activities. Subscribe To "The Late Show" Channel HERE: http://bit.ly/ColbertYouTube For more content from "The Late Show with Stephen Colbert", click HERE: http://bit.ly/1AKISnR Watch full episodes of "The Late Show" HERE: http://bit.ly/1Puei40 Like "The Late Show" on Facebook HERE: http://on.fb.me/1df139Y Follow "The Late Show" on Twitter HERE: http://bit.ly/1dMzZzG Follow "The Late Show" on Google+ HERE: http://bit.ly/1JlGgzw Follow "The Late Show" on Instagram HERE: http://bit.ly/29wfREj Follow "The Late Show" on Tumblr HERE: http://bit.ly/29DVvtR Watch The Late Show with Stephen Colbert weeknights at 11:35 PM ET/10:35 PM CT. Only on CBS. Get the CBS app for iPhone & iPad! Click HERE: http://bit.ly/12rLxge Get new episodes of shows you love across devices the next day, stream live TV, and watch full seasons of CBS fan favorites anytime, anywhere with CBS All Access. Try it free! http://bit.ly/1OQA29B --- The Late Show with Stephen Colbert is the premier late night talk show on CBS, airing at 11:35pm EST, streaming online via CBS All Access, and delivered to the International Space Station on a USB drive taped to a weather balloon. Every night, viewers can expect: Comedy, humor, funny moments, witty interviews, celebrities, famous people, movie stars, bits, humorous celebrities doing bits, funny celebs, big group photos of every star from Hollywood, even the reclusive ones, plus also jokes.