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Explore Your brain cannot feel numbers this big. #52factorial #math #psychology #brain #numbers with 647,153 views, 38,866 likes, and 406 comments. Experience the impact of this video content that has captured audience attention.

Shuffle a deck of cards well, and it’s almost certain you’re holding an order that has never existed before. Not in any game, not in all of history. A deck has 52 factorial possible orders, roughly 8 times 10 to the power 67. Even if all 8 billion people on Earth shuffled a deck every second for 10,000 years, that would be only about 10 to the power 21 shuffles. Earth itself has roughly 10 to the power 50 atoms, so a deck has about a billion billion times more orders than Earth has atoms. Space is just as absurd. The black hole M87* is over 6 billion times the Sun’s mass, and its event horizon is about four times wider than Neptune’s orbit. The observable universe is roughly 93 billion light-years across. We measured all of it, yet we can’t feel any of it. Why? In 2008, Stanislas Dehaene’s team asked Munduruku adults in the Amazon, with little formal schooling, to place numbers on a line. They squeezed big numbers close together and gave small numbers more room. A million seconds is about 11 days, and a billion seconds is about 32 years, but to your gut both just feel like “big”. Dehaene argues this ratio-based number sense is inherited from our primate evolution, and even educated adults in Boston compress numbers that are too big to count. It gets even crazier. In 1975, Wagenaar and Sagaria showed that people underestimate growth that builds on itself, now called exponential growth bias. Fold a sheet of paper 42 times, and in theory it reaches the Moon. Your brain adds, but the world multiplies. 10 cards give about 3.6 million orders, 20 cards give about 2.4 quintillion, and by 52 cards it’s 10 to the power 67. Your brain can’t feel that number, but the same brain invented the mathematics that lets us count it. Sources: Dehaene et al., Science, 2008 (“Log or linear?”); Wagenaar and Sagaria, 1975; Event Horizon Telescope, M87* Stay curious!  #52factorial #math #psychology #brain #numbers

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