Intellectually Curious
Intellectually Curious is a podcast by Mike Breault featuring over 1,800 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...
Notable Guests
Episodes (2069)
OEIS A00092: Lattice points in a sphere and the limits of volume estimates
Intellectually Curious
OEIS A000091: A multiplicative sequence and the Legendre/Jacobi shortcut
Intellectually Curious
Blue Moon Chronicles: The Untold History of Manchester City FC
Intellectually Curious
OEIS A000090: Permutations avoiding 3-cycles
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OEIS A000089: Solutions to x^2 + 1 ≡ 0 (mod n)
Intellectually Curious
From Simple Rules to Infinite Complexity: The Mandelbrot Set
Intellectually Curious
The Diabolical Cube: A 3D Puzzle Through Time
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Quirky Physics 2024: Everyday Experiments and Playful Insights
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Molten Salt Reactors Unpacked: Breeding, Thorium, and a Safer Nuclear Future
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Deep Dive: Schrödinger's Cat and the Quantum World
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Australia's Cricket Odyssey: From 1877 Ashes to the Invincibles
Intellectually Curious
OEIS A000088: Number of nonisomorphic simple graphs on n nodes
Intellectually Curious
Algorithmic Layouts Unpacked: Semantics, Accessibility, and the Future of CSS
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Ticking Through Time: The Evolution of Watches
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AlphaProof at the IMO: AI, Lean, and the Future of Mathematical Reasoning
Intellectually Curious
Polyominoes: From Tetris to Tiling Theory
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OEIS A000087: Non-separable planar maps and beta-1 tree bijection
Intellectually Curious
OEIS A000086: Number of solutions to x^2+x+1 ≡ 0 (mod n)
Intellectually Curious
Logic in Plain Language: A Deep Dive into Logic Programming
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OEIS A000085: Involutions and the many faces of self-inverse permutations
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Contextual Distances: The Mahalanobis Metric Explained
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Naive Bayes Demystified: Simple Rules, Big Impact
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S-Shaped Signals: The Sigmoid Function from History to AI
Intellectually Curious
Correlation in Number Theory, Part II: From Pearson to Prime Gaps
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The Normal Distribution Unpacked: Bell Curves, CLT, and Real-World Power
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Z Scores Unlocked: Placing a Data Point in the Distribution
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Gradient Descent Unpacked: From Valleys to Neural Networks
Intellectually Curious
Cosine Similarity: Angles, Vectors, and Real-World Patterns
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OEIS A000084: Series-parallel networks with n edges
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OEIS A000083: Mixed Hosoya trees and polygonal cacti with bridges
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Math Detectives: Linear Diophantine Equations
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The Constants Chronicle: A Chronological Tour of Mathematical Fixed Values
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Lemniscate Constant: Geometry, Transcendence, and Gauss
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Divisibility Unlocked: From 1–30 Rules to Prime Inverses
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Edge, Odds, and Growth: A Deep Dive into the Kelly Criterion
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OEIS A00082: The n^2 × product over prime divisors (1+1/p) sequence — strong div...
Intellectually Curious
OEIS A000081: Rooted Trees and Hidden Connections
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Euclidean Division Demystified: From Remainders to Cryptography
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Bases Unboxed: The Basis Representation Theorem and the Uniqueness of Numbers
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OEIS A00000: Minimal Triangle Graphs
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Color Theory: From Aristotle to RGB — A STEM Deep Dive
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Montaigne Unplugged: Essays, Skepticism, and the Art of Questioning
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Poisson in the Supply Chain: Turning Random Demand into Smart Inventory
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Goethe Unbound: The Scientist-Artist Who Connected Worlds
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The Libero Playbook: Inside College Volleyball's Defensive Engine
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Cosmic Naps: The Dormant Giant Black Hole Shaking Up Our View of the Early Unive...
Intellectually Curious
OEIS A000079: Powers of Two
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Induction Unlocked: The Domino Principle in Number Theory
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Deep Dive: The Busy Beaver Problem
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Exploitation vs Exploration: The Learning Dilemma in AI
Intellectually Curious