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Intellectually Curious - Podcast

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.

Mathematics Science Learning Education History
Update frequency
every day
Average duration
12 minutes
Episodes
1379
Years Active
2024 - 2025
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On-Device AI Unleashed: EmbeddingGemma and the Private, Fast Future

On-Device AI Unleashed: EmbeddingGemma and the Private, Fast Future

Google DeepMind's EmbeddingGemma is a compact 308M-parameter text embedding model designed for mobile-first AI. With quantization-aware training it runs on-device in under 200 MB of RAM and exhibits …

00:06:23  |   Thu 04 Sep 2025
Skyhook: The Orbit-Sling That Could Change Spaceflight

Skyhook: The Orbit-Sling That Could Change Spaceflight

We unpack the skyhook—an orbiting momentum-exchange tether that could grab a payload at the edge of the atmosphere and fling it into orbit. Tracing ideas from Isaacs and Moravec to NASA tests (TSS-1R…
00:06:07  |   Thu 04 Sep 2025
OEIS A000328: Circle problem — lattice points inside a circle

OEIS A000328: Circle problem — lattice points inside a circle

We dive into A000328, the Gaussian circle problem: how many integer lattice points (x, y) lie inside or on a circle of radius n. Start with the main term a(n) ~ πn^2 and the elusive remainder r(n) = …
00:04:39  |   Thu 04 Sep 2025
Prince Rupert's Cube: A Tilted Passage Through Geometry

Prince Rupert's Cube: A Tilted Passage Through Geometry

Explore the famous geometric paradox: a cube through a hole in another cube, with a side length about 1.06066 times larger. We trace the tale from Prince Rupert's 1693 wager through Wallis and Newlan…
00:05:12  |   Thu 04 Sep 2025
CD Decode: Reading Biomolecular Shapes with Circular Dichroism

CD Decode: Reading Biomolecular Shapes with Circular Dichroism

We demystify circular dichroism (CD) — a fast, non-destructive probe of biomolecular structure. This episode explains how differential absorption of left and right circularly polarized light reveals …
00:07:27  |   Wed 03 Sep 2025
OEIS A000327: Partitions into non-integral powers

OEIS A000327: Partitions into non-integral powers

We explore A000327, the OEIS entry counting the number of solutions with distinct positive integers a and b to a^23 + b^23 ≤ n (i.e., partitions into non-integral powers). We trace its pedigree—from …
00:04:27  |   Wed 03 Sep 2025
OEIS A000326: Pentagonal numbers

OEIS A000326: Pentagonal numbers

A deep dive into the pentagonal numbers A000326, tracing their geometric roots and arithmetic formula P(n) = n(3n−1)/2, including the pentagonal test x is pentagonal iff (sqrt(24x+1)+1)/6 is an integ…

00:04:36  |   Tue 02 Sep 2025
Is the Heavy Cream Cinnamon Roll Hack Baking Magic?

Is the Heavy Cream Cinnamon Roll Hack Baking Magic?

We unpack the viral heavy-cream cinnamon roll hack—explaining why heavy cream's fat, moisture, and caramelization transform ordinary rolls into bakery-soft, gooey treats. We trace its rediscovery thr…

00:06:32  |   Mon 01 Sep 2025
OEIS A000325: 2^n - n

OEIS A000325: 2^n - n

A000325 is the simple formula a_n = 2^n − n, with the start 1, 1, 2, 5, 12, 27, 58. It counts all subsets of an n‑element set except the n singletons (i.e., 2^n minus n). The sequence also satisfies …
00:04:39  |   Mon 01 Sep 2025
llms.txt: A Markdown Bridge for AI-Ready Web Context

llms.txt: A Markdown Bridge for AI-Ready Web Context

We explore a proposed standard that gives LLMs a concise, structured briefing about a website. llms.txt complements robots.txt and sitemaps by delivering AI-friendly guidance and links to detailed pa…
00:04:54  |   Sun 31 Aug 2025
OEIS A000324: The Infinite Coprime Sequence and the Lucas Connection

OEIS A000324: The Infinite Coprime Sequence and the Lucas Connection

In this Deep Dive, we investigate A000324 from the OEIS — a sequence born from a deceptively simple nonlinear recurrence that rockets from the start 1, 5, 9, 49, 2209 and beyond. What makes it truly …
00:05:11  |   Sun 31 Aug 2025
Planetary Black Holes: Using Exoplanets to Hunt Super‑Heavy Dark Matter

Planetary Black Holes: Using Exoplanets to Hunt Super‑Heavy Dark Matter

In this deep dive, we explore a provocative idea: giant, cold exoplanets—especially gas giants—as cosmic detectors for super‑heavy dark matter. Particles streaming through a planet could be captured,…

00:06:39  |   Sun 31 Aug 2025
The Pomegranate Odyssey: From Ancient Orchards to Modern Science

The Pomegranate Odyssey: From Ancient Orchards to Modern Science

Trace the pomegranate’s epic journey—from 4,000 BCE cultivation in Mesopotamia and a possible independent domestication in Albania to Linnaeus’s Punica granatum and the Punica genus that hints at anc…
00:06:52  |   Sat 30 Aug 2025
Silurian Renaissance: Sea-to-Land Leap and the Rise of Jawed Fish

Silurian Renaissance: Sea-to-Land Leap and the Rise of Jawed Fish

A deep dive into the Silurian period (roughly 443–419 million years ago) as Earth recovers from the mass extinction and life bursts back to diversity. We unpack climate warming, rising seas, the emer…
00:06:51  |   Sat 30 Aug 2025
Time Crystals — Ground-State Clocks and the Quantum Frontier

Time Crystals — Ground-State Clocks and the Quantum Frontier

We explore time crystals, quantum systems whose patterns repeat in time even in their lowest energy state, breaking time-translation symmetry without violating thermodynamics. From Wilczek’s original…

00:06:18  |   Sat 30 Aug 2025
OEIS A000323: Gauss circle problem—record lattice-point errors

OEIS A000323: Gauss circle problem—record lattice-point errors

In this Deep Dive, we explore A000323, the sequence of n at which the Gauss circle error term sets a new record. We define A(n) as the number of integer pairs (i,j) with i^2 + j^2 ≤ n and P(n) = A(n)…
00:06:27  |   Sat 30 Aug 2025
Circulimulus discobulus: Bridging 80 Million Years in Horseshoe Crab Evolution

Circulimulus discobulus: Bridging 80 Million Years in Horseshoe Crab Evolution

We explore Circulimulus discobulus, a small Silurian horseshoe crab whose 2025 description fills an 80‑million‑year gap in chelicerate history. Its multi‑segmented post‑abdomen and two‑pronged telson…
00:06:17  |   Sat 30 Aug 2025
OEIS A000322: Pentanacci numbers

OEIS A000322: Pentanacci numbers

A deep dive into A000322, the Pentanacci sequence started with five 1s, defined by a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5). We'll contrast with the zero-start version A01591 to show how dif…

00:05:45  |   Fri 29 Aug 2025
The Cosmic Shoreline: Do Exoplanet Atmospheres Survive Around M Dwarfs?

The Cosmic Shoreline: Do Exoplanet Atmospheres Survive Around M Dwarfs?

We explore how exoplanets keep or lose their atmospheres, the evolving 'cosmic shoreline' concept, and what JWST's look at Gliese 486 tells us about habitability around the most common stars. From es…

00:05:12  |   Fri 29 Aug 2025
History of IBM: From Punch Cards to AI and Hybrid Cloud

History of IBM: From Punch Cards to AI and Hybrid Cloud

Join us as we trace IBM's evolution from CTR and Hollerith punch cards to the modern AI and hybrid‑cloud powerhouse. We'll unpack the leadership, culture, and pivotal bets—from Watson's Think era and…

00:19:26  |   Thu 28 Aug 2025
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