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
OEIS A000146: Bernoulli numbers, primes, and the von Staudt–Clausen magic
An in-depth look at OEIS A000146, the integer sequence defined by a_n = B_{2n} + sum_{p: p−1 | 2n} 1/p. We explain Bernoulli numbers, the von Staudt–Clausen theorem on denominators, the prime-filter …
00:07:14 |
Thu 27 Feb 2025
Jets Unpacked: From Taylor Polynomials to Tangent Bundles
Join us for a guided tour of jets in differential geometry. We zoom in on a function at a point, replace it by a polynomial snapshot, and see how these jets compose, transform, and live together on m…
00:12:29 |
Thu 27 Feb 2025
Chaotic Singularities: The Quantum Quest Inside Black Holes
Take a tour of black hole singularities—points of infinite density where physics breaks down. We trace ideas from the chaotic Mixmaster picture to decoupling and the ADS-CFT correspondence, exploring…
00:14:42 |
Wed 26 Feb 2025
Athens: 5,000 Years of Greatest Hits
A brisk, narrative tour of Athens—from Neolithic settlements on the Acropolis to the birthplace of democracy and Western philosophy, through rising empires and epic falls—explaining how a rock atop t…
00:14:29 |
Wed 26 Feb 2025
Introducing Alexa Plus from Amazon
Learn about Introducing Alexa Plus from Amazon
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:14:02 |
Wed 26 Feb 2025
Estonia Integrates ChatGPT Edu into National Education System
Learn about Estonia Integrates ChatGPT Edu into National Education System
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Spons…
00:12:15 |
Wed 26 Feb 2025
Doom in TypeScript: Running a Classic Game at Type Level
A deep dive into a mind-bending project that pushes TypeScript's type system to its limits by running Doom entirely through types. We explore the motivations, the techniques (a type-level virtual mac…
00:12:56 |
Wed 26 Feb 2025
Stochastic Calculus Unplugged: From Brownian Motion to Real-World Uncertainty
Take a friendly tour through stochastic calculus: what Brownian motion really looks like, why the Ito vs Stratonovich distinction matters, and how stochastic differential equations model systems affe…
00:17:18 |
Wed 26 Feb 2025
Brain-to-Text Breakthrough: Mind-Reading with MEG (No Surgery)
In this episode of The Deep Dive, we unpack a cutting-edge brain-computer interface study that decodes typed text from brain activity without surgery. We compare MEG and EEG performance, explore how …
00:12:36 |
Wed 26 Feb 2025
Moonbound: Inside NASA's Artemis Tech Trek
A deep dive into NASA's Moon-bound tech as Artemis advances: Prime 1’s ice-mining drill, the hopping Micronova Grace, and Nokia’s lunar cellular network. We’ll explore how CLPS partnerships, the Mons…
00:13:43 |
Wed 26 Feb 2025
The Simple Formula: When Arithmetic Beats Expertise in Predictions
A deep dive into how plain arithmetic models—adding and multiplying—can predict real-world outcomes as well as, or better than, seasoned experts. We trace Meehl’s landmark findings, Dawes’s three-par…
00:15:37 |
Wed 26 Feb 2025
Shadow Price: Valuing the Hidden Costs Behind Every Decision
We unpack shadow pricing—the practice of assigning value to benefits and costs not captured by market prices. Learn the main methods—contingent valuation, hedonic pricing, and revealed preferences—an…
00:07:47 |
Wed 26 Feb 2025
Landscape Logic: How Advanced Math Powers Efficient LEDs and Big Savings
Join us as we explore how a brainy math tool called the landscape function is helping engineers design brighter, more efficient LEDs. We'll unravel the Green Gap, Anderson localization, and the role …
00:13:22 |
Wed 26 Feb 2025
OEIS A000144: Representations of n as the sum of 10 squares
In this episode we explore A000144—the number of representations of an integer n as a sum of 10 squares (ordered 10‑tuples of integers whose squares sum to n). For example, a(1) = 20 and a(2) = 180. …
00:08:45 |
Wed 26 Feb 2025
OEIS A000143: Sums of eight squares
In this episode we dive into A000143, the count of representations of a nonnegative integer as a sum of eight squares when both order and signs matter. We start with simple cases (a(0)=1, a(1)=16, a(…
00:14:19 |
Tue 25 Feb 2025
Pi Through the Ages: From Archimedes to Transcendence
A concise tour of pi’s history—from ancient Egyptian and Babylonian approximations to Archimedes’ polygon method, Newton’s calculus, and Machin-type formulas—leading to the proofs that pi is irration…
00:13:09 |
Tue 25 Feb 2025
OEIS A00142: Factorial numbers
We dive into A00142, the factorial numbers. From the curious fact that 0! = 1 to the evolution of factorial notation, we trace history and notation. Then we explore surprising properties and connecti…
00:10:54 |
Tue 25 Feb 2025
Anchoring Uncovered: The Surprising Power of First Impressions
In this deep-dive episode, we unpack the anchoring effect—from what an anchor is to why it skews judgments in everything from car shopping to salary negotiations. We'll review iconic experiments by T…
00:14:54 |
Tue 25 Feb 2025
Electrifying Math: Ohm's Law and the Language of Electricity
A lively dive into the math behind electricity—current, voltage, resistance, current density, heat transfer, and superconductivity—revealing how the same equations describe circuits, power grids, and…
00:10:59 |
Tue 25 Feb 2025
The Math of Strings: Conformal Field Theory and the Fabric of the Universe
We unravel the math behind string theory—from conformal symmetry on the string’s world sheet to primary and descendant fields, correlation functions, and the emergence of extra dimensions. Along the …
00:15:40 |
Tue 25 Feb 2025
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