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Curated by: Dr. Trefor Bazett (643 videos)


Currently Playing: Does Assembly Theory Explain Life? Let's do the math.

How did life begin in our primordial soup? Assembly Theory is a mathematical model to help quantify precisely this. However, shortly after the paper by Cronin et al was published in Nature, assembly theory started getting critiques that it had a noted similarity to compression algorithms such as those in the Lempel-Ziv family developed back in the 1970s. So what's going on? Check out the unlisted ADDENDUM video here: https://youtu.be/-XmV3wMCFc8 I go into two extra details that got cut from the main video: why the LZ compression Algorithm is actually a compression, and the idea of a context free grammar. DISCLAIMER: In this video my colleague Gourab Ray and I don't intend to resolve the controversy around these topics, nor give a full and complete hearing of the issues. Instead, we hope to help explain a bit about what the controversy is about to a general audience and act as a stepping stone to checking out the paper and its rebuttals yourself. Key References and further reading: 1) Original Paper by Cronin et al: https://www.nature.com/articles/s41586-023-06600-9 2) Refutation Paper by Zenil et al: https://journals.plos.org/complexsystems/article?id=10.1371/journal.pcsy.0000014 3) Sean Carroll did a similar computation to Gourab's combinatorical computation about DNA from the beginning of our video: https://www.youtube.com/watch?v=WOW_hEfMimIs&ab_channel=RotmanInstituteofPhilosophy 4) My previous video on Kolmogorov Complexity: https://www.youtube.com/watch?v=baf_iPT7lqI&ab_channel=Dr.TreforBazett 5) For LZ compression: "Grammar Compression, LZ-Encodings, and String Algorithms with Implicit Input" by Wojciech Rytter in Automata, Languages and Programming, 2004. 6) Great book: "Elements of Information Theory", by Thomas and Cover. 0:00 The Controversy 1:07 Combinatorics of DNA paradox 2:57 Assembly Theory Explained 7:52 Lempel Ziv Algorithms 13:01 Entropy 16:19 Kolmogorov Complexity 17:38 Comparing Assembly Theory and Information Theory ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: https://patreon.com/DrTrefor ► CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes ► MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw ►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 ►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX OTHER PLAYLISTS: ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: http://tiktok.com/@drtrefor ►Instagram (photography based): http://instagram.com/treforphotography


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