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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 Science History Learning Education
Update frequency
every day
Average duration
12 minutes
Episodes
1394
Years Active
2024 - 2025
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The Frequency Illusion: Why You Start Seeing What You Just Learned

The Frequency Illusion: Why You Start Seeing What You Just Learned

An exploration of the Baader-Meinhoff phenomenon (frequency illusion): how selective attention, confirmation bias, and the recency illusion shape our sense of frequency. We’ll cover two cognitive acc…
00:13:51  |   Mon 16 Dec 2024
Michael Cates — Soft Matter, Active Matter, and the Lucasian Legacy

Michael Cates — Soft Matter, Active Matter, and the Lucasian Legacy

A deep dive into the 19th Lucasian Professor of Mathematics, Michael Cates. We explore his groundbreaking work in soft matter and active systems—from worm-like micelles and constitutive equations to …

00:14:58  |   Mon 16 Dec 2024
OEIS A000073: Tribonacci numbers

OEIS A000073: Tribonacci numbers

In this episode we explore the Tribonacci sequence, defined by summing the three previous terms with starts 0, 0, 1. We uncover its rich connections to ordered trees, compositions of numbers using pa…
00:15:47  |   Mon 16 Dec 2024
The 1992 Premier League Revolution: Birth of a Global Football Era

The 1992 Premier League Revolution: Birth of a Global Football Era

A concise, sweeping dive into the league’s inaugural 1992-93 season—from the Sky-BBC money boom and record transfers to Cantona’s spark at United, Teddy Sheringham’s Golden Boot, Norwich’s surprising…
00:20:31  |   Sun 15 Dec 2024
Foundations in Flux: The 1921 APFA Season and the Birth of the NFL

Foundations in Flux: The 1921 APFA Season and the Birth of the NFL

A deep dive into the 1921 APFA season—the Akron reorganization with Joe Carr, the surge of 21 teams, the fragile finances and evolving rules that shaped pro football. We explore Curly Lambeau’s suspe…
00:12:21  |   Sun 15 Dec 2024
IPL 2008: The Inaugural Season That Redefined Cricket

IPL 2008: The Inaugural Season That Redefined Cricket

A deep dive into the IPL's launch in 2008: how T20 cricket reshaped the sport, the record-breaking auctions and celebrity-backed franchises, the season's controversies, and the unforgettable underdog…
00:14:32  |   Sun 15 Dec 2024
BBL01: The First Big Bash—How City-Based T20 Rewrote Australian Cricket

BBL01: The First Big Bash—How City-Based T20 Rewrote Australian Cricket

A deep dive into Australia’s inaugural Big Bash League season, BBL01, where city-based franchises redefined T20 cricket. We cover the dramatic WACA final, the era-defining derbies, and the standout p…
00:13:19  |   Sun 15 Dec 2024
Currency of Collaboration: Social Exchange Theory in STEM

Currency of Collaboration: Social Exchange Theory in STEM

A clear, concise dive into social exchange theory and how it shapes collaboration, mentorship, and power dynamics in science. We translate costs, rewards, equity, and dependence into practical insigh…
00:12:22  |   Sun 15 Dec 2024
Radical Shifts: The Scientific Revolution and Its Architects

Radical Shifts: The Scientific Revolution and Its Architects

A deep dive into the era that redefined humanity's understanding of the universe. We trace the move from Aristotelian–Ptolemaic cosmology to empirical science, unpack the Baconian method, and spotlig…
00:15:57  |   Sun 15 Dec 2024
OEIS A000072: Representations of numbers ≤ 2^n as x^2 + 4 y^n

OEIS A000072: Representations of numbers ≤ 2^n as x^2 + 4 y^n

A guided tour of A000072, the sequence counting how many positive integers up to 2^n can be written in the form x^2 + 4 y^n. We explore the number-theory and computational ideas behind the rule, incl…
00:10:12  |   Sun 15 Dec 2024
The Green-Schwarz Revolution: Michael Green and the Unification of String Theory

The Green-Schwarz Revolution: Michael Green and the Unification of String Theory

Dive into the life of Michael Green, the 18th Lucasian Professor, whose collaboration with John Schwartz unlocked a loophole in type I string theory with the Green-Schwarz mechanism. Learn how this a…
00:18:56  |   Sun 15 Dec 2024
OEIS A000071: Fibonacci numbers minus one

OEIS A000071: Fibonacci numbers minus one

Join us for a deep dive into A000071, the Fibonacci numbers minus one. We trace its simple origin a(n) = F(n) − 1 (with a1 = 0, a2 = 0, a3 = 1, a4 = 2, a5 = 4, a6 = 7) and explore its rich structure:…
00:09:30  |   Sat 14 Dec 2024
Lucasian Chair Episode 18 Stephen Hawking

Lucasian Chair Episode 18 Stephen Hawking

Learn about Lucasian Chair Episode 18 Stephen Hawking

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

Sponsored by Embersilk LL…

00:23:45  |   Sat 14 Dec 2024
Birth of the NFL: The Wild 1920 APFA Season

Birth of the NFL: The Wild 1920 APFA Season

Take a journey back to 1920, when pro football looked more like a loose association than a league. We explore chaotic schedules, disputed championships, and Jim Thorpe's unusual dual role as star and…
00:09:35  |   Sat 14 Dec 2024
Lighthill Unbound: The Fluid Mind Behind Planes, Traffic, and AI

Lighthill Unbound: The Fluid Mind Behind Planes, Traffic, and AI

Explore James Lighthill, the Cambridge mathematician whose work in fluid dynamics and aeroacoustics transformed aviation, traffic flow, and early AI thinking. From the eighth-power law that tamed jet…
00:18:17  |   Fri 13 Dec 2024
OEIS A000070: Partitions, Ferrers diagrams, one-transitions, and cycle subgraphs

OEIS A000070: Partitions, Ferrers diagrams, one-transitions, and cycle subgraphs

We dive into A000070, the cumulative partition-counting sequence. Beyond counting partitions of 0 through n, the entry reveals rich structure: Ferrers diagrams that illuminate the step to n+1, the po…
00:13:28  |   Fri 13 Dec 2024
Sturmur's Harmonics: Smooth Numbers, Pell Equations, and the Music of Math

Sturmur's Harmonics: Smooth Numbers, Pell Equations, and the Music of Math

In this Deep Dive, we unravel smooth numbers and Sturmur's theorem, show how Pell equations unlock consecutive smooth pairs, and connect these ideas to music theory—just intonation and Pythagorean tu…
00:19:47  |   Fri 13 Dec 2024
OEIS A000069: Odious numbers

OEIS A000069: Odious numbers

Odious numbers are the nonnegative integers with an odd number of 1s in their binary expansion. In this episode we explore the surprising symmetries they reveal, including the Lamberk–Moser theorem t…
00:13:35  |   Thu 12 Dec 2024
Dirac: The Quiet Architect of Quantum Reality

Dirac: The Quiet Architect of Quantum Reality

Episode 16 of Deep Dive profiles Paul Dirac, the 15th Lucasian Professor of Mathematics. We trace his unlikely path from electrical engineering to theoretical physics, unpack the Dirac equation and t…
00:14:13  |   Thu 12 Dec 2024
OEIS A000068: Numbers k for which k^4 + 1 is prime

OEIS A000068: Numbers k for which k^4 + 1 is prime

We explore A000068—the integers k such that k^4 + 1 is prime—and its rich connection to Fermat numbers and the prime mysteries that surround them. From Fermat’s original conjecture and Euler’s dispro…
00:10:12  |   Wed 11 Dec 2024
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