Intellectually Curious
Intellectually Curious is a podcast by Mike Breault featuring over 1,200 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, Dune
Note: These podcasts were made with NotebookLM. AI can make mistakes. Please double-check any critical information.
- Update frequency
- every day
- Average duration
- 12 minutes
- Episodes
- 1379
- Years Active
- 2024 - 2025
OEIS A000321: Hermite polynomials evaluated at 12
We examine A000321, the sequence obtained by evaluating the physicist's Hermite polynomials H_n(-1/2), where H_n(x) . It comes from a compact recurrence and exhibits a modular pattern: A_{n+k} ≡ c(n,…
Quantum Vortices: From Superfluids to Superconductors and Beyond
OEIS A000320: Generalized tangent numbers d(5,n)
Today we explore A000320, the generalized tangent numbers with d(5,n). We trace their history—from Sloan’s foundational entries and Shanks’s early notes (old IDs M3722, N5521) to Sloan’s Handbook of …
Anticipated Regret: How Fearing 'What If' Shapes Our Decisions
OEIS A000319: Tangent Iteration
Mangle decoded: Recursion, rules, and real-world data with Datalog
We break down Google's open-source Mangle, an extension of Datalog that adds aggregation, external function calls, and optional type checking on top of powerful recursive rules. Compare it to SQL, an…
DuckDB v1.3.0: The Spatial Join Breakthrough — From Nested Loops to an On-the-Fly R-tree
OEIS A000318: Generalized tangent numbers d(4,n)
In this Deep Dive, we explore OEIS A000318, the generalized tangent numbers, often denoted d(4,N). The initial terms—4, 128, 16384—hint at incredibly rapid growth, and the sequence sits at a rich cro…
The Great Dying: Earth's Worst Extinction Event
We dive into the Permian–Triassic extinction (~251.9 million years ago), its drivers—Siberian flood basalts, skyrocketing CO2, global warming, ocean acidification and widespread anoxia—and the brutal…
OEIS A000317: Quadratic recurrence and integer polynomial binomial coefficients
Leaky Buckets: Two Modes, One Core Idea Behind Stable Networks
OEIS A000041: Partition numbers
OEIS A000047: Integers of Form x^2 − 2y^2
OEIS A000316: Card matching and pair derangements
Eddington Limit: The Cosmic Brightness Boundary
OEIS A000315: Reduced Latin Squares
OEIS A000314: Hussemi trees and polygonal cacti sequences
An in-depth look at OEIS A000314: the number of mixed Hussemi trees, i.e., labeled polygonal cacti with bridges. We clarify cactus graphs, blocks that are edges or cycles, and the historical name Hus…
Schröder Numbers: Paths, Partitions, and Domino Tilings
The Pink River Dolphin of the Amazon: Adaptations, Threats, and a Conservation Imperative