Breaking Math Podcast

Breaking Math Podcast

Gabriel Hesch

Breaking Math brings you the absolute best in interdisciplinary science discussions - bringing together experts in varying fields including artificial intelligence, neuroscience, evolutionary biology, physics, chemistry and materials-science, and more - to discuss where humanity is headed.

** Includes helpful information for STEM students such as scholarship opportunities, free and cheap resources such as textbooks, open source material, recommended lectures on YouTube, School-to-Career pipeline tips and more! Subscribe to our newsletter on our website below:

website: breakingmath.io
linktree: linktree.com/breakingmathmedia
email: breakingmatnpodcast@gmail.com

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Help Support The Podcast by clicking on the links below: * Try out ZenCastr w/ 30% Discount [https://zen.ai/1e7eBWWMLcSL_G10VxiSlQ]Use my special link [https://zen.ai/1e7eBWWMLcSL_G10VxiSlQ] to save 30% off your first month of any Zencastr paid plan * Patreon [https://www.patreon.com/breakingmath] * YouTube [https://www.youtube.com/@breakingmathpod] * Breaking Math Website [http://breakingmath.io/]Email us for copies of the transcript!  Resources on the LEAN theorem prover and programming language can be found at the bottom of the show notes (scroll to the bottom).  Summary This episode is inspired by a correspondence the Breaking Math Podcast had with the editors of Digital Discovery, a journal by the Royal Society of Chemistry.  In this episode the hosts review a paper [https://pubs.rsc.org/en/content/articlelanding/2024/dd/d3dd00077j] about how the Lean Interactive Theorem Prover, which is usually used as a tool in creating mathemtics proofs, can be used to create rigorous and robust models in physics and chemistry.   Also -  we have a brand new member of the Breaking Math Team!  This episode is the debut episode for Autumn, CEO of Cosmo Labs, occasional co-host / host of the Breaking Math Podcast, and overall contributor who has been working behind the scenes on the podcast on branding and content for the last several months. Welcome Autumn!   Autumn and Gabe discuss how the paper explores the use of interactive theorem provers to ensure the accuracy of scientific theories and make them machine-readable. The episode discusses the limitations and potential of interactive theorem provers and highlights the themes of precision and formal verification in scientific knowledge.  This episode also provide resources (listed below) for listeners interested in learning more about working with the LEAN interactive theorem prover.   Takeaways * Interactive theorem provers can revolutionize the way scientific theories are formulated and verified, ensuring mathematical certainty and minimizing errors. * Interactive theorem provers require a high level of mathematical knowledge and may not be accessible to all scientists and engineers. * Formal verification using interactive theorem provers can eliminate human error and hidden assumptions, leading to more confident and reliable scientific findings. * Interactive theorem provers promote clear communication and collaboration across disciplines by forcing explicit definitions and minimizing ambiguities in scientific language. Lean Theorem Provers enable scientists to construct modular and reusable proofs, accelerating the pace of knowledge acquisition. * Formal verification presents challenges in terms of transforming informal proofs into a formal language and bridging the reality gap. * Integration of theorem provers and machine learning has the potential to enhance creativity, verification, and usefulness of machine learning models. * The limitations and variables in formal verification require rigorous validation against experimental data to ensure real-world accuracy. * Lean Theorem Provers have the potential to provide unwavering trust, accelerate innovation, and increase accessibility in scientific research. * AI as a scientific partner can automate the formalization of informal theories and suggest new conjectures, revolutionizing scientific exploration. * The impact of Lean Theorem Provers on humanity includes a shift in scientific validity, rapid scientific breakthroughs, and democratization of scienc

Vorherige Folgen

  • 131 - 90. LEAN Theorem Provers used to model Physics and Chemistry 
    Sat, 16 Mar 2024
  • 130 - 89. Brain Organelles, AI, and the Other Scary Science - An Interview with GT (Part I) 
    Tue, 05 Mar 2024
  • 129 - 88. Can OpenAi's SORA learn and model real-world physics? (Part 1 of n) 
    Tue, 27 Feb 2024
  • 128 - 87. OpenAi SORA, Physics-Informed ML, and a.i. Fraud- Oh My! 
    Tue, 20 Feb 2024
  • 127 - 86. Math, Music, and Artificial Intelligence - Levi McClain Interview (Final Part) 
    Sun, 18 Feb 2024
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