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
- 1394
- Years Active
- 2024 - 2025
OEIS A00082: The n^2 × product over prime divisors (1+1/p) sequence — strong divisibility, multiplicativity, and links to zeta and modular forms
We dive into A00082, the sequence defined by A(n) = n^2 ∏_{p|n} (1 + 1/p). We'll see a concrete calculation (n = 12 gives A(12) = 288) and explore why it's a strong divisibility sequence, as well as …
00:10:22 |
Wed 25 Dec 2024
Dirichlet
Learn about Dirichlet
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:25:44 |
Wed 25 Dec 2024
Edge, Odds, and Growth: A Deep Dive into the Kelly Criterion
A numbers-forward exploration of the Kelly Criterion: how to size bets and investments to maximize long-term wealth. From binary bets like coin tosses to multi-asset portfolios, we’ll unpack edge, pr…
00:11:27 |
Wed 25 Dec 2024
OEIS A000081: Rooted Trees and Hidden Connections
A000081 counts unlabeled rooted trees with n nodes, but it surfaces in several surprising guises: arrangements of non-overlapping circles, connected endofunctions with fixed points, and connected mul…
00:13:00 |
Tue 24 Dec 2024
Euclidean Division Demystified: From Remainders to Cryptography
We explore Euclidean division beyond grade-school remainders, why the quotient and remainder are unique, and how the Euclidean algorithm finds the gcd. We'll walk through concrete steps (e.g., gcd(98…
00:17:11 |
Tue 24 Dec 2024
Color Theory: From Aristotle to RGB — A STEM Deep Dive
Join us for a deep dive into color theory—where physics, biology, and psychology meet art. We trace how color ideas evolved from ancient philosophers through Newton and Goethe to modern color spaces,…
00:13:02 |
Mon 23 Dec 2024
Bases Unboxed: The Basis Representation Theorem and the Uniqueness of Numbers
In this episode, we explore why every positive integer has a unique representation in any base b — from decimal to binary to hexadecimal. We build intuition with lego-like imagery, sketch the idea be…
00:06:20 |
Mon 23 Dec 2024
OEIS A00000: Minimal Triangle Graphs
We explore the counting of nonisomorphic minimal triangle graphs on n vertices — graphs in which every triangle is indispensable to the structure. The sequence begins 1, 1, 2, 4, 9, 19, and traces ba…
00:08:30 |
Mon 23 Dec 2024
Montaigne Unplugged: Essays, Skepticism, and the Art of Questioning
A deep dive into Michel de Montaigne's revolutionary Essays—the personal, conversational voice, his Pyrrhonian skepticism, and enduring lessons on education, doubt, and the human condition. We trace …
00:18:51 |
Mon 23 Dec 2024
Poisson in the Supply Chain: Turning Random Demand into Smart Inventory
In this episode, we demystify Poisson distributions and show how they model random events with a steady average rate—like daily demand, arrivals, or failures. Using real-world supply chain examples (…
00:17:09 |
Mon 23 Dec 2024
The Libero Playbook: Inside College Volleyball's Defensive Engine
A deep dive into the libero—the visually distinct back-row specialist who digs, sets, and guides the defense. Using NCAA.com and The College Volleyball Libro as guides, we explore the position’s rule…
00:16:29 |
Mon 23 Dec 2024
Cosmic Naps: The Dormant Giant Black Hole Shaking Up Our View of the Early Universe
A behemoth supermassive black hole, weighing about 400 million suns, is found in a surprisingly small galaxy just 800 million years after the Big Bang. Rather than steady feeding, evidence points to …
00:14:48 |
Mon 23 Dec 2024
Goethe Unbound: The Scientist-Artist Who Connected Worlds
In this episode, we pull back the curtain on Johann Wolfgang von Goethe to show a life that fused science, art, and philosophy. We trace his leap from law to poetry, his hands-on work in botany, colo…
00:11:41 |
Mon 23 Dec 2024
OEIS A000079: Powers of Two
Take a deep dive into OEIS A000079, the powers of two. From counting subsets to binary foundations in computer science, and from Mersenne primes and perfect numbers to unexpected guests like unimodal…
00:09:34 |
Sun 22 Dec 2024
Induction Unlocked: The Domino Principle in Number Theory
This episode demystifies mathematical induction—from the domino analogy to the base case and induction step. We'll prove a classic result, the sum of the first n odd integers equals n^2, and explain …
00:12:26 |
Sun 22 Dec 2024
Stonehenge by Design: Engineering the Ancient Monument
A STEM-focused journey into Stonehenge, tracing its five construction phases—from timber posts and Aubrey Holes to the bluestones and the great sarsen circle. We’ll unpack the engineering feats (no w…
00:12:44 |
Sat 21 Dec 2024
Exploitation vs Exploration: The Learning Dilemma in AI
We unpack the exploration-exploitation dilemma in machine learning and AI, from the classic multi-armed bandit to sophisticated reinforcement learning. Learn how algorithms balance sticking with know…
00:17:04 |
Sat 21 Dec 2024
Deep Dive: The Busy Beaver Problem
Join us as we explore the Busy Beaver problem: how a tiny Turing machine with a fixed number of states can produce astonishing output or run forever, and why this problem sits at the edge of computab…
00:11:20 |
Sat 21 Dec 2024
OEIS A00078: The Tetranacci Numbers
We explore A00078, the tetranacci sequence defined by T(n) = T(n-1) + T(n-2) + T(n-3) + T(n-4) with initial values T(0)=T(1)=T(2)=0 and T(3)=1. We trace its growth, derive its generating function G(x…
00:10:33 |
Sat 21 Dec 2024
Exploration vs Exploitation: A Deep Dive into the Multi-Armed Bandit
Take a deep dive into the multi-armed bandit problem, the math behind balancing exploration and exploitation. Using the slot-machine analogy, we’ll unpack regret, best-arm identification, and a spect…
00:14:49 |
Sat 21 Dec 2024
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