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Intellectually Curious - Podcast

Intellectually Curious

 Mike Breault

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.

Mathematics Science History Learning Education
Update frequency
every day
Average duration
12 minutes
Episodes
1394
Years Active
2024 - 2025
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OEIS A000178: The Superfactorial

OEIS A000178: The Superfactorial

In this episode we explore OEIS sequence A000178, the superfactorial. We define it in two equivalent ways: as the product 1! · 2! · 3! · ... · n! and as the product 1^n · 2^{n-1} · 3^{n-2} · ... · n^…
00:20:16  |   Sat 29 Mar 2025
OEIS A000177: Representations by six squares

OEIS A000177: Representations by six squares

We explore A000177, the number of representations of an integer as the sum of six squares. We'll cover its definition, small examples, how the sequence is computed and updated, and its connections wi…
00:03:38  |   Sat 29 Mar 2025
Martian Regolith

Martian Regolith

Learn about Martian Regolith

Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

00:24:59  |   Sat 29 Mar 2025
Alpha Particles

Alpha Particles

Learn about Alpha Particles

Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

00:26:28  |   Sat 29 Mar 2025
Voronoi Diagram

Voronoi Diagram

Learn about Voronoi Diagram

Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

00:29:25  |   Thu 27 Mar 2025
OEIS A000176: Generalized Tangent Numbers, DN2

OEIS A000176: Generalized Tangent Numbers, DN2

In this episode we unpack A000176—the Generalized Tangent Numbers (DN2). We trace its Dirichlet-series definition using the Jacobi symbol and show how the even-values L_{2n} tie to D_{2n}. We then ex…
00:11:14  |   Thu 27 Mar 2025
OEIS A000175: Zeros of Bessel Functions and the Rayleigh Polynomials

OEIS A000175: Zeros of Bessel Functions and the Rayleigh Polynomials

In this Deep Dive, we unpack OEIS A000175—the sequence of constant terms in the Rayleigh polynomials, which arise from the power-series of spherical Bessel functions. We trace how the zeros of Bessel…
00:09:46  |   Wed 26 Mar 2025
C for Light: The Hidden History of the Speed‑of‑Light Symbol

C for Light: The Hidden History of the Speed‑of‑Light Symbol

Science Quarter digs into why the speed of light is denoted by C. From Maxwell’s V to Weber–Kohlrausch’s C, and through Planck, Lorentz, and Einstein, we uncover the symbolic tug‑of‑war, the practica…
00:14:19  |   Wed 26 Mar 2025
Differential Geometry

Differential Geometry

Learn about Differential Geometry

Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

00:31:42  |   Wed 26 Mar 2025
Cosmic Spotlights: Herbig-Haro Jets and the Birth of Stars

Cosmic Spotlights: Herbig-Haro Jets and the Birth of Stars

In this episode we explore Herbig-Haro objects—the glowing shock fronts produced when newborn stars launch fast jets into their surrounding gas. We trace their discovery, uncover how these jets form …
00:23:11  |   Wed 26 Mar 2025
Wright’s Law Demystified: The Learning Curve That Cuts Costs with Experience

Wright’s Law Demystified: The Learning Curve That Cuts Costs with Experience

A clear, accessible dive into Wright’s Law and the experience curve: how cumulative production lowers unit costs, and the math behind the progress ratio and learning rate. We trace the idea from Ebbi…
00:17:32  |   Wed 26 Mar 2025
Parsimonious Time Series Models

Parsimonious Time Series Models

Learn about Parsimonious Time Series Models

Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

00:28:05  |   Wed 26 Mar 2025
Swarm Intelligence: Emergence from Simple Rules

Swarm Intelligence: Emergence from Simple Rules

Explore how simple local interactions—like birds in a flock or ants routing trails—give rise to complex, coordinated behavior, and how these principles power AI and robotics. We’ll unpack classic mod…
00:18:56  |   Tue 25 Mar 2025
OEIS A000174: Five squares representations

OEIS A000174: Five squares representations

Join us as we explore OEIS A000174, the count of representations of a nonnegative integer n as a sum of five squares. We discuss the counting convention used in the entry (order and signs) and how A0…
00:08:01  |   Tue 25 Mar 2025
OEIS A000173: Unitary Sociable Numbers, Smallest Member of Each Cycle

OEIS A000173: Unitary Sociable Numbers, Smallest Member of Each Cycle

Join us for a concise tour of unitary divisors and unitary aliquot sequences. We’ll unpack what unitary divisors are (each prime power either fully included or omitted), how the sum of proper unitary…
00:12:46  |   Tue 25 Mar 2025
Solar Photovoltaic Technology

Solar Photovoltaic Technology

Learn about Solar Photovoltaic Technology

Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

00:27:28  |   Sun 23 Mar 2025
The Cybernetic Teammate: AI’s Impact on Teamwork and Expertise

The Cybernetic Teammate: AI’s Impact on Teamwork and Expertise

In this Science Corner episode, we unpack two real-world studies—the Mollock blog post and Delacqua et al.'s field experiment at Procter & Gamble—on AI as a teammate. We explore how generative AI res…
00:11:26  |   Sun 23 Mar 2025
OEIS A00172: Franel numbers

OEIS A00172: Franel numbers

The Franel numbers A00172 are defined by A(n) = sum_{k=0}^n binom(n,k)^3. In this episode we explore their elegant second-order recurrence (n+1)^2 A(n+1) = (7n^2+7n+2) A(n) - 8 n^2 A(n-1), and their …
00:16:53  |   Sun 23 Mar 2025
Sin City: Auto-Generating Massive 3D Worlds Tile by Tile

Sin City: Auto-Generating Massive 3D Worlds Tile by Tile

We dive into Sin City, a training-free approach to building explorable 3D environments. See how it hybrids spatial-aware 3D generators with powerful 2D image models, uses a tiled, context-aware workf…
00:17:36  |   Sun 23 Mar 2025
Scallop, Viara, and the Neuro-Symbolic Path to Smarter AI

Scallop, Viara, and the Neuro-Symbolic Path to Smarter AI

We dive into Scallop, a Datalog-based declarative language that acts as a scalable symbolic reasoning engine, capable of discrete, probabilistic, and differentiable reasoning, and how it integrates w…
00:17:12  |   Sun 23 Mar 2025
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