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▸ Want to leave a tip or connect?: https://linktr.ee/letsfindoutasmr Description: The first major advance in abstraction was the use of numerals to represent numbers. This allowed systems to be developed for recording large numbers. ASMRtist mentioned (Decaf-math): / @decafmathasmr The ancient Egyptians developed a powerful system of numerals with distinct hieroglyphs for 1, 10, and all the powers of 10 up to over 1 million. A stone carving from Karnak, dating from around 1500 BC depicts 276 as 2 hundreds, 7 tens, and 6 ones; and similarly for the number 4,622. The Babylonians had a place-value system based essentially on the numerals for 1 and 10, using base sixty, so that the symbol for sixty was the same as the symbol for one, its value being determined from context. There's counting numbers like these that our ancestors used, there's the more abstract "zero" that generally took longer for the Egyptians, Babylonians, Indians, Chinese, Meso-Americans, and Greeks, then came numbers in the opposite 2-dimensional direction, known as negative integers. The next step was dividing one integer by another, called a fraction, that can also be expressed as a finite decimal. Seems rational. Then came weirdly irrational numbers that could not be expressed as a decimal with a definite end. The Egyptians and Pythagoreans knew how strange it was that a number multiplied by itself to get exactly 2, did not exist in finite form. It's decimal does not repeat and does not end. Like pi, it goes on into infinitely more precise values, never reaching exactly 2.00000... when squared. That's not to even mention the square root of a negative number, which get's us into the realm of complex numbers. Thanks for watching. I've started a podcast to download to listen offline: http://letsfindoutasmr.libsyn.com/ (select videos) https://itunes.apple.com/us/podcast/l... (iTunes) #ASMR #math #history My current reading list (for those interested): Richard P. Feynman "The Pleasure of Finding Things Out" https://amzn.to/2Ftse3n Carl Jung "The Red Book" https://amzn.to/2TYBkbN Nietzsche "Beyond Good and Evil" https://amzn.to/2DcVyc4 Warren Ashby "Comprehensive History of Western Ethics: What Do We Believe?" https://amzn.to/2T1Let6 Jordan Peterson "Maps of Meaning" https://amzn.to/2FuirKj Carl Jung "Aion" https://amzn.to/2SZ52Ny James J. Walsh "Thirteenth: Greatest of Centuries" https://amzn.to/2SWxJe9 Walter Kaufman "Nietzsche: Philosopher, Psychologist, Antichrist" https://amzn.to/2MdrTlR Michael O'Mara "The History of the World in Bite-Sized Chunks" https://amzn.to/2MhjBJW ------------------------------------------------------------------ ►socials: •Email................... •Instagram........... @lets_find_out_asmr •Twitter................. @Glycoversi ------------------------------------------------------------------ ►If you'd like to help support the channel: •A small kick-back from your purchases: https://amzn.to/2LnNXd6 •Amazon wishlist: http://a.co/9vUJ8eF •Venmo ......... @ •PayPal ......... https://www.paypal.me/LetsFindOutASMR •Patreon ........ / letsfindoutasmr •Bitcoin: (A scannable QR code) ........ http://i.imgur.com/wKIsPIB.png (wallet address) ........ 1XPhPoyeqc3Xf1uktCPXCzfdEdi9PA7Xh If you'd like to mail me something (or send Penny a treat): Let's Find Out ASMR (Rich) P.O. Box 1582 Palm City, FL 34991 ------------------------------------------------------------------ ►my ASMR playlists: Space: • Playlist: Space History: • Плейлист Science: • Плейлист Philosophy: • Плейлист ------------------------------------------------------------------ ►ASMR channels you'll be happy you found: Niceguy Eddie ASMR (genuine, calm, funny) / Канал TirarADeguello (Fun, Creative, deep voice, graceful) / tiraradeguello ASMRctica (Relaxing deep voice, graceful drawing, maps) / @asmrctica French Whisperer (Deep voice, educational, history, science) / @thefrenchwhispererasmr Chycho (Kind personality, math, comics, just a cool guy) / chychochycho Phoenician Sailor (Deep voice, immersive roleplays, thoughtful) / @phoeniciansailor Gaslamp ASMR (Deep voice, unique antiques, graceful) / @gaslampasmr Tingles with Flyby (Soft spoken, creative role plays, books, maps) / @tingledom The ASMR Nerd (Soft voice, gameplay, quality tech reviews) / theasmrnerd