Intellectually Curious

Intellectually Curious

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Intellectually Curious episodes

  • 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 natural rate, and the Fed's role in flattening the curve, this episode also explores new approaches—like behavioral economics—that aim to explain today’s puzzling relationship and its policy implications.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    17 min
  • 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, pseudo-random number generation, cryptography, and spread-spectrum communications. Join us as we trace the math, the historical notes, and the practical uses that emerge from this single sequence.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    16 min
  • 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 pattern our minds love to spot? A curious, skeptical tour through math, history, and perception.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    13 min
  • Palindromic Power: The Largest Product of Two 3-Digit Numbers
    A concise dive into Project Euler's palindrome problem. We explore why six-digit palindromes are divisible by 11, how to prune the search with number theory, and a Python approach to finding the largest palindrome from two 3-digit numbers. We’ll also cover a clean palindrome check in Python and ideas for scaling the method to larger factors.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    5 min
  • Yttrium: From Ytterby to LEDs, Lasers, and Superconductors
    A journey from a Swedish quarry to the cutting edge of tech. Discover how yttrium—first found as yttria in Ytterby, later isolated as a metal—powers color TVs, YAG lasers, and high-temperature superconductors like YBCO. We’ll unpack the science in clear terms, explore its surprising partnerships with other elements, and glimpse how this ‘hidden gem’ shapes energy, medicine, and future technologies.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    21 min
  • Deep Dive: Patterns in Nature
    Join us on Deep Dive as we explore the patterns that shape the natural world—from leaves and seashells to spirals and fractals. We trace ideas from ancient philosophers to Da Vinci and Kepler, uncover how math and physics describe nature's designs, and see how biology's natural and sexual selection craft patterns—from camouflage to brilliant displays. A quick tour of symmetry, efficiency, and the language nature uses to code reality.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    21 min
  • Patterns in Math: The Hidden Language of Nature and Numbers
    A lively tour through symmetry, arithmetic and geometric sequences, the Fibonacci sequence, and tessellations—showing how repeating patterns reveal the structure of nature, technology, and daily life, and why pattern-thinking can change how we see the world.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    17 min
  • OEIS A000015: Prime Powers and Runs
    In this episode we dive into OEIS sequence A000015, the smallest prime power greater than or equal to n. We’ll unpack what prime powers are, illustrate how the sequence stays constant for a while before jumping to 4, 8, 9, 11, and so on, and explain why those runs relate to gaps between prime powers—and to bigger prime questions like twin primes. We’ll peek at the formulas and code snippets in the OEIS entry (Maple, Mathematica, PIR, Haskell) and touch on connections to related sequences such as A031218 (as noticed by Colin Linster). Along the way we discuss why prime powers matter in cryptography, computer science, and number theory, and invite you to explore A000015 yourself on OEIS.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    9 min
  • Deep Learning, Deep Economics: AI’s Next Frontier in Economic Modeling
    We explore how deep learning is transforming economics—from dynamic equilibrium models and heterogeneous agents to retirement savings and policy design. Learn how AI can tame complexity, improve forecasts, and reveal richer insights about behavior and welfare, while also confronting challenges like overfitting and feedback effects.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    10 min
  • Row Polymorphism Unplugged: Flexibility in Hindley–Milner Type Systems
    Take a deep dive into Hindley–Milner type inference, row polymorphism, unification, and let-polymorphism. We'll explore how flexible record types unleash composable software, compare Algorithm W and Algorithm J, and explain recursion handling in HM. Through friendly analogies—jazz improvisation, puzzle pieces, and peace treaties—this episode makes the theory and practice of modern type systems approachable for developers and language lovers alike.


    Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

    Sponsored by Embersilk LLC

    14 min

About Intellectually Curious

From the publisher's feed

Intellectually Curious is a podcast by Mike Breault featuring AI-powered explorations across science, mathematics, philosophy, and personal growth. Each short-form episode is generated, refined,…