aboutlogic

Deniz Sarikaya, Thorsten Altenkirch
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  • 数学

aboutlogic is a podcast on logic, foundations of mathematics, philosophy, and theoretical computer science. aboutlogic features in-depth conversations with people working in and around the foundations of these subjects. We talk about topics ranging from the foundations of computer science and set theory to critical thinking, puzzles, and what academic life is really like—its motivations, frustrations, and surprises.

  1. 2日前

    aboutlogic: premises #05 | Dependent Type Theory: A Revolution in Math & Computer Science

    Dependent Type Theory: A Revolution in Math & Computer Science | aboutlogic: premises #05 What makes dependent type theory so powerful? In this aboutlogic: premises episode, Deniz and Thorsten explore the evolution of type theory. From simple types to Pierre Martin-Löf’s groundbreaking dependent types. Discover how this innovation transformed mathematics and computer science by allowing types to depend on values, enabling more expressive and precise reasoning.

    aboutlogic: premises #05 | Dependent Type Theory: A Revolution in Math & Computer Science

  2. 7月29日

    aboutlogic #17 | José Pérez Escobar – Wittgenstein, Turing & the Philosophy of Applied Mathematics

    aboutlogic #17 | Why is mathematics so effective in science? José Pérez Escobar (UNED, Madrid) joins Deniz and Thorsten to explore Wittgenstein’s philosophy of applied mathematics, the role of rules vs. structures in math, and how models shape our understanding of reality. From neuroscience to physics, José explains why mathematical models often act as rules of description rather than mere representations of reality and how this perspective resolves Wittgenstein’s "rule-following paradox." The conversation also dives into Turing’s structural view of math, the Dirac delta function controversy, and whether contradictions in mathematics are truly problematic.

    aboutlogic #17 | José Pérez Escobar – Wittgenstein, Turing & the Philosophy of Applied Mathematics

  3. 7月22日

    aboutlogic: premises #04 | The Harry Potter Approach to Proof Assistants – Lean, Agda & AI

    Your support helps us keep these conversations going! If you’d like to contribute, you can buy us a coffee here: https://buymeacoffee.com/aboutlogic How do interactive theorem provers like Lean and Agda change the way we teach and do mathematics? In this aboutlogic: premises episode, Deniz and Thorsten discuss the role of proof assistants in education, the differences between Lean and Agda, and how AI is transforming formal verification.

    aboutlogic: premises #04 | The Harry Potter Approach to Proof Assistants – Lean, Agda & AI

  4. 7月15日

    aboutlogic #16 | Schröder & Fisseni – The Language of Mathematics: Frames, Narratives & AI

    aboutlogic #16 | How is mathematical language structured, and what can linguistics teach us about proofs, ambiguity, and storytelling in math? In this episode, Bernhard Fisseni and Bernhard Schröder (University of Duisburg-Essen) join Deniz and Thorsten to explore the frames, narratives, and pragmatic structures behind mathematical texts.

    aboutlogic #16 | Schröder & Fisseni – The Language of Mathematics: Frames, Narratives & AI

  5. 7月8日

    aboutlogic: premises #03 | Synthetic vs. Analytic Math: Inspired by Emily Riehl

    Inspired by our conversation with Emily Riehl on higher category theory, this aboutlogic: premises episode dives into the synthetic vs. analytic approach in mathematics. Deniz and Thorsten explore how Euclid’s geometry, category theory, and higher categories embody the synthetic approach. Focusing on abstract structures and relationships rather than concrete coordinates or definitions.

    aboutlogic: premises #03 | Synthetic vs. Analytic Math: Inspired by Emily Riehl

  6. 7月1日

    aboutlogic #15 | Emily Riehl – Higher Category Theory, Homotopy & AI in Math

    aboutlogic #15 | Emily Riehl (Johns Hopkins University) joins us to explore higher category theory, homotopy, and the role of AI in modern mathematics. From the foundations of category theory to the challenges of formalizing math with proof assistants like Lean, Emily shares her insights on synthetic vs. analytic approaches, the beauty of abstraction, and how AI is changing mathematical research.

    aboutlogic #15 | Emily Riehl – Higher Category Theory, Homotopy & AI in Math

  7. 6月24日

    aboutlogic: premises #02 | Hilbert’s Hotel & Cantor’s Infinity: The Story of Set Theory

    Your support helps us keep these conversations going! If you’d like to contribute, you can buy us a coffee here: https://buymeacoffee.com/aboutlogic What is set theory—a foundation of math or a science of infinity? In this aboutlogic: premises episode, Deniz and Thorsten explore the history, paradoxes, and philosophical debates behind set theory. From Cantor’s diagonal argument to Hilbert’s Hotel and the role of ZFC, they discuss why set theory became the language of mathematics—and where its limits lie. Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.

    aboutlogic: premises #02 | Hilbert’s Hotel & Cantor’s Infinity: The Story of Set Theory

  8. 6月17日

    #14 aboutlogic | Dana Scott – Lambda Calculus, Forcing & the Foundations of Math

    aboutlogic #14 | Turing Award winner Dana Scott joins us to discuss his groundbreaking work on lambda calculus, forcing, and Boolean-valued models and how these ideas revolutionized set theory and computability. From his collaborations with Kleene and Solovay to his thoughts on constructive mathematics, Scott shares insights into the history and future of logical foundations. Hear anecdotes about Gödel’s unpublished ideas, Einstein’s influence, and the telephone conversations that shaped modern logic.

    #14 aboutlogic | Dana Scott – Lambda Calculus, Forcing & the Foundations of Math
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番組について

aboutlogic is a podcast on logic, foundations of mathematics, philosophy, and theoretical computer science. aboutlogic features in-depth conversations with people working in and around the foundations of these subjects. We talk about topics ranging from the foundations of computer science and set theory to critical thinking, puzzles, and what academic life is really like—its motivations, frustrations, and surprises.

情報

  • クリエイター
    Deniz Sarikaya, Thorsten Altenkirch
  • 配信期間
    26年
  • エピソード
    23
  • 制限指定
    不適切な内容を含まない
  • 番組のWebサイト
    aboutlogic

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