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
- 1399
- Years Active
- 2024 - 2025
Grimaldi: From Genoa to Monaco — A Dynastic Odyssey
A sweeping deep-dive into the House of Grimaldi: its Genoese beginnings, exile and conquests, the rise of Monaco, the French marriages that shaped the modern line, the century of succession crises, a…
00:23:18 |
Wed 08 Jan 2025
C3 Linearization: Ordering Chaos in Code and Beyond
We unpack C3 linearization—the rule that gives multiple-inheritance its predictable method resolution order. Through intuitive examples (and a SageMath case), we explain how C3 merges inheritance int…
00:09:57 |
Wed 08 Jan 2025
Age Curves Unpacked: Breakouts, Slumps, and Draft Day Gold
A deep dive into Fantasy Points’ June 23 piece on age curves. We break down RB and WR peak windows, translate trends into smarter drafts, and spotlight power-law outliers. From year-two RB targets (e…
00:20:35 |
Wed 08 Jan 2025
OEIS A000095: Fixed points of Γ0(N) in the modular group
A deep dive into A000095, the multiplicative sequence counting fixed points of the modular subgroup Γ0(N) on the upper half-plane. We explore how these fixed points connect modular transformations, L…
00:12:26 |
Tue 07 Jan 2025
OEIS A000094: Number of trees with diameter four
In this episode we unpack A000094, the count of unlabeled trees whose diameter is four. We start by clarifying what 'trees' and 'diameter' mean in graph theory, and review why you need at least five …
00:13:39 |
Mon 06 Jan 2025
BOSS Great Wall: Mapping the Cosmos with BAO
A compact, STEM-focused tour of the BOSS Great Wall—what it is, how BAO measurements map the cosmos, the scale in megaparsecs, the debate over whether it’s a single coherent structure, and what this …
00:08:22 |
Sun 05 Jan 2025
Deep Zoom: The Math and Magic of Mandelbrot Rendering
A tour through how modern fractal images are born: using perturbation theory to reuse reference orbits, rescaling to beat numerical underflow, and series approximations to skip iterations. We’ll also…
00:14:50 |
Sun 05 Jan 2025
OEIS A000093: Floors, Circles, and the Hidden Geometry of Squares
In this episode we dive into A000093, the floor of N^(3/2). We’ll see how this deceptively simple formula links to a web of ideas: the interior lattice points of a circle (A077121 with the “minus 1” …
00:12:26 |
Sun 05 Jan 2025
Quaternions Unraveled: Rotations, SU(2), and the Geometry of 3D
Trace quaternions from Hamilton’s 1843 breakthrough to their modern power in 3D rotations, computer graphics, and robotics. We unpack unit quaternions, the non-commutative magic that encodes orientat…
00:16:41 |
Sun 05 Jan 2025
OEIS A00092: Lattice points in a sphere and the limits of volume estimates
Explore A00092, the OEIS entry that records the radii (radius squared) where the difference between the actual lattice point count inside a sphere and its volume-based estimate is largest. Learn A(n)…
00:11:18 |
Sat 04 Jan 2025
OEIS A000091: A multiplicative sequence and the Legendre/Jacobi shortcut
We explore A000091, a multiplicative OEIS sequence defined by prime-factor rules: powers of 2 map to 2; the prime 3 maps to 2 but higher powers map to 0; and primes p > 3 map to 2 or 0 according to p…
00:14:03 |
Fri 03 Jan 2025
OEIS A000090: Permutations avoiding 3-cycles
A000090 counts the permutations of n elements with no 3-cycles in their cycle decomposition. For example, with n = 3 there are 4 such permutations (out of 6), and with n = 4 there are 16. The exponen…
00:07:34 |
Thu 02 Jan 2025
Blue Moon Chronicles: The Untold History of Manchester City FC
A century-spanning deep dive into Manchester City FC—from church-rooted beginnings to modern-day dominance. We explore the rises, falls, legendary characters, and pivotal moments beyond the trophies,…
00:16:59 |
Thu 02 Jan 2025
A Treatise on Advanced Calculus
Learn about A Treatise on Advanced Calculus
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:25:41 |
Thu 02 Jan 2025
From Simple Rules to Infinite Complexity: The Mandelbrot Set
A guided tour of the Mandelbrot set—its history, the core iterative rule Z_{n+1} = Z_n^2 + C, and how escape-time coloring reveals its beauty. We explore self-similarity and Misiurewicz points, the c…
00:10:24 |
Wed 01 Jan 2025
OEIS A000089: Solutions to x^2 + 1 ≡ 0 (mod n)
We unpack A000089, the OEIS entry counting solutions to x^2 ≡ -1 (mod n). We'll explore its multiplicative structure, the no-solution case when n is divisible by 4, and why primes p ≡ 1 (mod 4) yield…
00:10:34 |
Wed 01 Jan 2025
Quirky Physics 2024: Everyday Experiments and Playful Insights
Join us as we unpack the offbeat physics stories that made 2024 shine. From champagne cork shockwaves and cicada pee jets to quantum escape rooms and AI-informed brews, we explore how physics shows u…
00:10:00 |
Tue 31 Dec 2024
Australia's Cricket Odyssey: From 1877 Ashes to the Invincibles
A sweeping look at the Australian national cricket team's history, tracing its 1877 test debut, the birth of the Ashes, the golden era and legends like Bradman, the Bodyline controversy, postwar triu…
00:15:41 |
Tue 31 Dec 2024
Deep Dive: Schrödinger's Cat and the Quantum World
An accessible episode unpacking Schrödinger's cat, quantum superposition, the measurement problem, decoherence, and major interpretations like Copenhagen and many-worlds.
Note: This podcast was AI-gen…
00:13:52 |
Tue 31 Dec 2024
The Diabolical Cube: A 3D Puzzle Through Time
Join us on a journey into the diabolical cube, a 3D puzzle built from six single-layer polycubes. We uncover its ancient history, the surprising 13 distinct solutions (mirror images included), and ho…
00:07:56 |
Tue 31 Dec 2024
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