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
- 1391
- Years Active
- 2024 - 2025
Happy Numbers Across Bases: A Deep Dive
We explore the simple rule of summing squares of digits and how iterating it reveals happy numbers in base 10 and beyond. Formalizing with f_{2,b}(n), we trace examples like 13 and 4, examine cycles,…
00:14:01 |
Fri 09 May 2025
Ideal Customer Profile
Learn about Ideal Customer Profile
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:29:54 |
Fri 09 May 2025
OEIS A000217: Triangular numbers
In this Deep Dive we explore OEIS A000217, the triangular numbers T_n = n(n+1)/2. We trace their roots from the early geometry of the Pythagoreans to Gauss, and survey the many ways they appear in co…
00:11:36 |
Thu 08 May 2025
Panpsychism
Learn about Panpsychism
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:30:39 |
Thu 08 May 2025
OEIS A000216: The eight-term cycle of the sum-of-squares-of-digits map
We explore how the simple rule “replace a number by the sum of the squares of its decimal digits” behaves when starting from 2. Following the path 2 → 4 → 16 → 37 → 58 → 89 → 145 → 42 → 20 → 4, the s…
00:06:38 |
Wed 07 May 2025
The Perception Encoder: A Unified Path to Robust Vision-Language Learning
We unpack a groundbreaking approach called the Perception Encoder (PE), a single, scalable model trained with global vision-language contrastive learning on images and videos. Learn how PE surprising…
00:20:55 |
Wed 07 May 2025
Castle Itter: The Odd Alliance That Defied the SS
In May 1945, as Europe collapsed, an unlikely coalition formed at Castle Itter in Austria: American GIs, disillusioned German officers, and VIP French prisoners fighting side by side against the Waff…
00:13:47 |
Tue 06 May 2025
OEIS A000215: Fermat numbers
An accessible tour of Fermat numbers F_n = 2^{2^n} + 1 (A000215): from Fermat’s prime guesses to Euler’s disproof with F5 = 4294967297 = 641 × 6700417. We discuss why any prime factor must satisfy sp…
00:20:15 |
Tue 06 May 2025
Forecasting the City in Minutes: Lyft’s Real-Time Spatial-Temporal Forecasting
A deep dive into how Lyft forecasts demand and driver supply across hyper-local geographies (geohash-6) every five minutes, with predictions updated each minute. We explore the trade-offs between fas…
00:13:32 |
Tue 06 May 2025
Unfinished Business: The Zeigarnik Effect
We unpack the Zeigarnik Effect—the memory bias that makes unfinished tasks linger and urge you to finish them. From Kurt Lewin and Bluma Zeigarnik’s classic experiments to Maria Ovsienkina’s motivati…
00:09:48 |
Tue 06 May 2025
OEIS A000213: Tribonacci numbers
Delve into A000213, the Tribonacci numbers defined by Tn = Tn-1 + Tn-2 + Tn-3 with seeds 0,0,1 (and the common variant 1,1,1). Learn how the characteristic cubic r^3 = r^2 + r + 1 yields the Tribonac…
00:10:36 |
Mon 05 May 2025
Fluid Intelligence: Thinking on Your Feet in a Changing World
A Science Corner dive into fluid vs crystallized intelligence, how our brains tackle novel problems, and what that means for everyday life and social navigation. We pull from a PubMed Central study l…
00:18:46 |
Mon 05 May 2025
Levels of Infinity: Cantor, Hilbert's Hotel, and Tao's Non-Standard Analysis
An accessible tour of the hierarchy of infinities—from countable to uncountable—Cantor's diagonal argument and Hilbert's Hotel, to Terence Tao's non-standard analysis. We'll explore infinitesimals an…
00:13:16 |
Mon 05 May 2025
The Sycophancy Snafu: Inside OpenAI's GPT-4o Update and Rollback
A deep-dive into OpenAI's April 2025 GPT-4o update that sparked surprisingly sycophantic behavior, its swift rollback, and the lessons for evaluating and deploying large language models. We unpack th…
00:14:03 |
Mon 05 May 2025
OEIS A000214: Essential Boolean function types under affine symmetry AGN2
We explore how A000214 counts the equivalence classes of n-variable Boolean functions under the action of the binary affine group AGN2. An affine transformation over GF(2) reshapes inputs via inverti…
00:09:50 |
Mon 05 May 2025
Box-Cox Unpacked: Transforming Data for Better Analysis
A concise introduction to the Box-Cox data transformation. Learn what it is, why it's useful, and how the lambda parameter shapes the transformation; how maximum likelihood selects the best value tow…
00:11:22 |
Mon 05 May 2025
Code, Conspiracy, and the Zimmermann Telegram
A deep dive into the 1917 Zimmermann telegram: how a secret German proposal to Mexico, intercepted and decoded by Britain, helped pull the United States into World War I. We'll unpack the prewar tens…
00:16:46 |
Mon 05 May 2025
OEIS A000213: The Floor of n^2/3 and Its Surprising Connections
A deceptively simple sequence AN = floor(n^2/3) with offset 0 unlocks a surprising web of connections across algebra, geometry, and combinatorics. We trace how it appears as the determinant of a stru…
00:11:05 |
Sat 03 May 2025
Generative AI GUI: Visual Interfaces for the Next Computing Era
A Deep Dive into how AI might finally give us visual, on-demand interfaces—generated on the fly, built from modular elements, and tailored to context. We unpack Karpathy’s three bets: visual-first, i…
00:11:49 |
Sat 03 May 2025
The Pigment Planning Platform
Learn about The Pigment Planning Platform
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:29:51 |
Sat 03 May 2025
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