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Intellectually Curious - Podcast

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.

Mathematics Learning Science History Education
Update frequency
every day
Average duration
12 minutes
Episodes
1399
Years Active
2024 - 2025
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OEIS A00012: Nero, the Hemingway sequence

OEIS A00012: Nero, the Hemingway sequence

Explore A00012, Nero — the Hemingway sequence: the count of 1s in binary representations. We trace its links to Pascal's triangle and the parity of binomial coefficients, its recursive fractal genera…
00:10:49  |   Mon 03 Feb 2025
Tariffs and the American Saga: How Taxes Shaped a Nation

Tariffs and the American Saga: How Taxes Shaped a Nation

A guided tour of US tariff history—from Hamilton's protective vision to the Smoot-Hawley collapse and the postwar shift toward free trade. We'll map who benefited, who paid, and how tariff policy lit…
00:15:30  |   Mon 03 Feb 2025
Origins of the War of 1812

Origins of the War of 1812

Learn about Origins of the War of 1812

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

Sponsored by Embersilk LLC

00:28:00  |   Sun 02 Feb 2025
OEIS A00119: Representations of integers as sums of distinct Fibonacci numbers

OEIS A00119: Representations of integers as sums of distinct Fibonacci numbers

We explore A00119, the count of ways to write an integer n as a sum of distinct Fibonacci numbers (with 1 treated as a separate Fibonacci value). We’ll unpack its defining recursion linked to A000119…
00:11:35  |   Sun 02 Feb 2025
Richard III: Fact, Fiction, and the Making of a Shakespearean Villain

Richard III: Fact, Fiction, and the Making of a Shakespearean Villain

In this episode, we sift history from drama, peeling back Tudor myths to see what Richard III might have been—schemer, anti-hero, or something in between. We explore Shakespeare's portrayal, the sour…
00:15:39  |   Sat 01 Feb 2025
OEIS A000118: Four-square representations

OEIS A000118: Four-square representations

We trace Jacobi's four-square theorem and Ramanujan's theta-function approach, showing how every positive integer n has r_4(n) representations as a sum of four squares. From the compact formula r_4(n…
00:18:09  |   Sat 01 Feb 2025
Wasatch Unveiled: A Geological Deep Dive

Wasatch Unveiled: A Geological Deep Dive

Join a guided exploration of Utah’s Wasatch Mountains as we connect the Wasatch Fault, the Wasatch Formation, and the Wasatch Plateau. Learn how tiny uplift rates accumulate into towering peaks, unco…
00:09:57  |   Fri 31 Jan 2025
OEIS A00011C: Symmetry in the Even Terms of Periodic Sequences

OEIS A00011C: Symmetry in the Even Terms of Periodic Sequences

Join us for a deep dive into A00011C, the elegant bisection of the periodic-sequence world formed by the even terms of A000011. We unpack how this symmetry emerges, guided by Gilbert and Reordan’s cl…
00:14:25  |   Fri 31 Jan 2025
OEIS A000112: Even sequences with period 2N

OEIS A000112: Even sequences with period 2N

In this episode we dive into A000112, the OEIS entry counting even (mirror-symmetric) sequences with period 2N. We explain what “even” means in this setting—sequences whose one period reads the same …
00:11:19  |   Thu 30 Jan 2025
Cola Wars: Coke vs Pepsi — A Century of Flavor, Marketing, and Rivalry

Cola Wars: Coke vs Pepsi — A Century of Flavor, Marketing, and Rivalry

A lively deep dive into the Coke vs Pepsi saga: how two pharmacists sparked a century-long clash, the landmark campaigns that defined branding, and how the giants evolved beyond cola with snacks, sus…
00:08:46  |   Thu 30 Jan 2025
OEIS A000115: Partitions into 1s, 2s, and 5s

OEIS A000115: Partitions into 1s, 2s, and 5s

In this episode we explore A000115, the denumerant counting the number of ways to write n as a nonnegative sum of 1, 2, and 5. We’ll uncover the surprisingly simple closed form A(n) = round((n+4)^2/2…
00:16:25  |   Wed 29 Jan 2025
The Football Scientist: Clark Shaughnessy and the T Formation Revolution

The Football Scientist: Clark Shaughnessy and the T Formation Revolution

From St. Cloud to Stanford and beyond, Clark Shaughnessy reshaped football with a relentless, data-minded approach. A pioneer of film study, player feedback, and the reinvention of the T formation, h…
00:17:37  |   Mon 27 Jan 2025
Round Numbers: Bases, Bias, and Beyond

Round Numbers: Bases, Bias, and Beyond

A nuanced tour of what makes numbers feel round—from base-dependent representations and smoothness in number theory to the psychological and cultural pull they exert on our decisions—and practical wa…
00:10:10  |   Mon 27 Jan 2025
OEIS A000114: Number of cusps of principal congruence subgroups

OEIS A000114: Number of cusps of principal congruence subgroups

We journey from the simple counting sequence A000114 to the geometry of modular surfaces formed by principal congruence subgroups of SL(2,Z). See how the number of cusps, dictated by the level, shape…
00:10:09  |   Mon 27 Jan 2025
Mesopotamian cities of Akkad and Kish

Mesopotamian cities of Akkad and Kish

Learn about Mesopotamian cities of Akkad and Kish

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

Sponsored by Embersilk LLC

00:29:34  |   Sun 26 Jan 2025
Scuttling Deliberate Ship Sinking

Scuttling Deliberate Ship Sinking

Learn about Scuttling Deliberate Ship Sinking

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

Sponsored by Embersilk LLC

00:23:47  |   Sun 26 Jan 2025
OEIS A000113: Transformation Groups and Dedekind's Psi

OEIS A000113: Transformation Groups and Dedekind's Psi

We unpack A000113, which counts the number of distinct transformation groups of order n. We’ll explore how prime factorization, Dedekind’s psi function, and the exponents arising from the factorizati…
00:21:29  |   Sun 26 Jan 2025
Ice Quakes: Cryoseisms, Glaciers, and the Seismic Signals of a Warming World

Ice Quakes: Cryoseisms, Glaciers, and the Seismic Signals of a Warming World

Explore cryoseisms—ice quakes triggered by rapid freezing of saturated ground—and glacial quakes driven by calving and basal motion. Learn how scientists distinguish these from ordinary earthquakes, …
00:11:16  |   Sun 26 Jan 2025
Shannon Unbound: The Multidisciplinary Mind Behind Information Theory

Shannon Unbound: The Multidisciplinary Mind Behind Information Theory

A deep dive into Claude Shannon’s life and work—bridging electrical engineering, mathematics, genetics, cryptography, and AI. From entropy and digital compression to the earliest machines and playful…
00:10:05  |   Sun 26 Jan 2025
Queues, Cues, and the Hidden Order of Waiting

Queues, Cues, and the Hidden Order of Waiting

Join us for a lively journey into queuing theory, from Erlang's Poisson arrivals to Kendall's notation A/S/C and the iconic M/M/1 queue. We'll explore how different scheduling policies, networks, and…
00:10:49  |   Sun 26 Jan 2025
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