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Intellectually Curious

Podcast by Mike Breault

English

Technology & science

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About Intellectually Curious

Intellectually Curious is a podcast by Mike Breault featuring over 1,800 AI-powered explorations across science, mathematics, philosophy, and personal growth. Each short-form episode is generated, refined, and published with the help of large language models—turning curiosity into an ongoing audio encyclopedia. Designed for anyone who loves learning, it offers quick dives into everything from combinatorics and cryptography to systems thinking and psychology.Inspiration for this podcast:"Muad'Dib learned rapidly because his first training was in how to learn. And the first lesson of all was the basic trust that he could learn. It's shocking to find how many people do not believe they can learn, and how many more believe learning to be difficult. Muad'Dib knew that every experience carries its lesson."― Frank Herbert, DuneNote: These podcasts were made with NotebookLM.  AI can make mistakes.  Please double-check any critical information.

All episodes

300 episodes

episode AI Solves The 80-Year Planar Unit Distance Puzzle artwork

AI Solves The 80-Year Planar Unit Distance Puzzle

We discuss a significant mathematical breakthrough in which an OpenAI reasoning model autonomously disproved a famous 80-year-old conjecture in discrete geometry. Originally posed by Paul Erdős, the unit distance problem theorized a specific limit on how many pairs of points in a plane could be exactly one unit apart. The AI identified an infinite family of configurations that exceeded this limit by utilizing advanced algebraic number theory, specifically through the construction of infinite class field towers. A collection of world-class mathematicians verified the findings, describing the result as a milestone for artificial intelligence and a demonstration of original reasoning. While the proof is technically sophisticated, it reveals an unexpected bridge between high-dimensional lattices and elementary geometry. Ultimately, the sources highlight a shift in human-AI collaboration, suggesting that models can now act as creative research partners rather than simple calculators. Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information. Sponsored by Embersilk LLC [https://www.embersilk.com/]

21 May 2026 - 6 min
episode Hermes Unleashed: Open-Source Self-Improving AI Assistants artwork

Hermes Unleashed: Open-Source Self-Improving AI Assistants

A deep dive into Hermes Agent, an open-source, self-improving AI assistant developed by Nous Research that is designed to grow more capable through a continuous learning loop. Unlike static chatbots, this agent creates reusable skills from experience, maintains long-term persistent memory, and builds personalized user models across multiple sessions. It features a versatile messaging gateway that allows users to interact with the system via platforms like Telegram, Discord, and Slack, or through a robust terminal interface. The software is provider-agnostic, supporting a vast array of AI models from local deployments to major cloud APIs while offering advanced features like cron-scheduled automations and parallel sub-agent delegation. Real-world applications detailed in the sources range from competitor market research and trading bots to personal productivity tools and home server management. Community contributions and user stories highlight the agent's ability to automate complex workflows, integrate with external tools through the Model Context Protocol (MCP), and significantly reduce operational costs. Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information. Sponsored by Embersilk LLC [https://www.embersilk.com/]

18 May 2026 - 5 min
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