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The Duck Numbers Paradox

Today mr. Duck 🦆 has come to you to teach you that EVERY NUMBER IS A DUCK NUMBER, EVERY!!! He hopes you’ll understand his point and fully submit to his supremacy. Thanks in advance! On a more serious note, this video is a journey from the silliest math question ever posed to very serious math like Mersenne primes or Zermelo Fraenkel set theory. I hope you'll enjoy it as much as I enjoyed creating it. Even if it's the most unserious piece of math you'll see today. Also, here's a challenge for you. How many 🦆 appeared in this video? Let me know in the comments! This video is a submission for #SoME4. [∞] Big thanks to: · my girlfriend for helping me on the design of the whole video and for the constant mental support that was very much needed in the last days of SoME4 submissions. Love u ❤️ · Grant Sanderson from 3blue1brown #3b1b channel and James Schloss for organizing SoME and motivating me to creating this video · you for watching it and making me a happy duck person ❤️ [∞] References and sources · https://www.geeksforgeeks.org/dsa/che... · Math Stack Exchange thread about Zero-Avoiding integers: https://math.stackexchange.com/questi... · https://en.wikipedia.org/wiki/Zermelo... [∞] Music (all downloaded from the freemusicarchive) · Quantum Jazz - Orbiting a Distant Planet · Kevin MacLeod - Faster Does It · Mela - Horrible · Kevin MacLeod - AcidJazz · Mr Smith - Be Cool · Salmo - Fraie · Quantum Jazz - Jingle Jazz [∞] Check out other places that you can go to and learn some math · INSTAGRAM - instagram.com/mathinity · X - https://x.com/Mathinity_ [∞] Chapters: 00:00 - Introduction 01:26 - 1. What the... 03:18 - 2. Ducks and basis 06:36 - 3. Based Duck Theorem 09:17 - 4. Dence duck says q u a c k 10:47 - 5. Duck jokes are over 11:42 - 6. Nightmare slain [∞] Pictures come from Envato Elements, Wikipedia and following sources: · Dijkstra image: https://wiedzmin.fandom.com/wiki/Sigi... · Per Enflo and Stanisław Mazur: Family archive of Krystyna Mazurówna, https://wyborcza.pl/7,75400,25162526,...