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
OEIS A00023: Bridges Across Generating Functions, Permanents, and Gamma
A guided deep dive into OEIS A00023. We explore how the same sequence arises from an exponential generating function and from a recurrence, uncover the striking link between its nth term and the perm…
00:16:31 |
Wed 30 Oct 2024
OEIS A00022: Centered hydrocarbons
Join us as we dive into OEIS A00022, the centered hydrocarbons sequence. We uncover Cayley's early attempts to count these 'centered' carbon arrangements, how graph-theoretic trees help classify isom…
00:16:33 |
Tue 29 Oct 2024
Ruthenium: The Hidden Power of a Rare Metal
Explore ruthenium, the gleaming but mysterious metal with a lone outer electron. We’ll uncover its striking properties, rarity, and surprising uses—from durable electronic contacts to Nobel-winning c…
00:15:03 |
Tue 29 Oct 2024
Pick's Theorem Unpacked: From Grid Dots to Computer Graphics
Join us for a deep dive into Pick's Theorem, the tidy rule that links grid points to area. We’ll unpack the formula A = I + B/2 − 1 with intuition, explore two classic proofs (via Euler’s structure a…
00:17:13 |
Tue 29 Oct 2024
Sequences Unfolded: A Deep Dive into Integer Sequences
Join us for a lively tour through the world of integer sequences—from primes and Fibonacci to perfect numbers, Mersenne primes, and hidden gems like the Lazy Caterer’s sequence and happy numbers. We’…
00:17:37 |
Tue 29 Oct 2024
Catalan Numbers: The Hidden Structure of Counting
Explore the Catalan numbers, the versatile counting sequence that surfaces in Dyck words (balanced parentheses), polygon triangulations, monotone lattice paths, and binary trees. We'll explain what t…
00:18:46 |
Tue 29 Oct 2024
OEIS A000021: Quadratic forms, primes, and the count of representable integers
Dive with us into OEIS A000021, the sequence that counts how many integers up to 2^n can be written in the form x^2 + 12y^2. We’ll unpack this quadratic form as a geometric blueprint, explore its tie…
00:12:48 |
Mon 28 Oct 2024
Technetium: From a Missing Element to a Medical Miracle
A deep dive into technetium, the first artificially created element. From Mendeleev’s eka-manganese and the hunt for a missing piece to Perrier and Segre’s cyclotron breakthrough, and the modern use …
00:14:31 |
Mon 28 Oct 2024
Steel Ribbon Across Time: The Trans-Siberian Railway
A deep-dive into the Trans-Siberian Railway, the engineering marvel that stitched Russia across eight time zones. We explore its decade-long planning, the 62,000 workers, and the ice-breaking Baikal …
00:12:32 |
Mon 28 Oct 2024
OEIS A000000: Primitive permutation groups
We continue our stroll through the counting sequence A000000, which records how many primitive permutation groups exist at each degree. After the surprise jump at degree 16, we unravel why many primi…
00:13:29 |
Sun 27 Oct 2024
Molybdenum Uncovered: The Hidden Superpower Behind Tech, Life, and Everything
From jet engines and nuclear reactors to the enzymes in our bodies and the plants that feed us, molybdenum is more than just a dot on the periodic table. In this episode, we explore its extraordinary…
00:13:32 |
Sun 27 Oct 2024
OEIS A00018: Representations by the quadratic form x^2 + 16y^2
Today we tackle OEIS A00018, a sequence that counts how many positive integers up to 2^n can be written in the form x^2 + 16y^2. We unpack what that quadratic form means, why the search space doubles…
00:05:16 |
Sat 26 Oct 2024
Wormholes 101: Real Physics, Wild Possibilities
Dive into wormholes through the lens of general relativity and quantum intrigue. We unpack Schwarzschild shortcuts, why exotic matter might be needed, the Casimir effect as a glimmer of negative ener…
00:13:37 |
Sat 26 Oct 2024
Niobium The Element
Learn about Niobium The Element
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:23:48 |
Sat 26 Oct 2024
The Phillips Curve: A Century of Jobs, Prices, and Expectations
Trace the rise, the wrenching revisions after stagflation, and the modern debate over whether unemployment and inflation trade off. From Phillips's UK data to Friedman and Phelps's expectations, the …
00:16:28 |
Fri 25 Oct 2024
Microsoft Annual Report 2024
Learn about Microsoft Annual Report 2024
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:26:40 |
Fri 25 Oct 2024
BrainLM
Learn about BrainLM
Note: These podcasts are AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.
Sponsored by Embersilk LLC
00:10:57 |
Fri 25 Oct 2024
Zircon: From Star Dust to Nuclear Cores
A journey through zircon and zirconium—from ancient gemstones and myths to modern science and cutting‑edge technology. We trace how this single element threads through geology, gemology, and nuclear …
00:17:13 |
Fri 25 Oct 2024
OEIS A000016: Distinct outputs of binary n-stage shift registers
We explore how the A000016 sequence counts the distinct output patterns of binary n-stage shift registers with feedback, and how this simple rule links to binary necklaces with an odd number of zeros…
00:15:48 |
Fri 25 Oct 2024
Phi in Plain Sight: The Golden Ratio, Math, and Myth
We explore the golden ratio—from Euclid to Fibonacci to art, architecture, nature, and markets—separating fascinating connections from overhyped claims. Is phi a universal key to beauty, or just a pa…
00:12:06 |
Fri 25 Oct 2024
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