aboutlogic

Эпизоды

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  aboutlogic:premises #06 | What Is a Set? A Beginner’s Guide to Set Theory 19.08.2026 27мин

  What Is a Set? A Beginner’s Guide to Set Theory | aboutlogic: premises #06 In this aboutlogic: premises episode, Deniz and Thorsten explore the foundations of set theory. From Cantor’s groundbreaking ideas to Frege’s logical foundations and Russell’s paradox. Discover how sets evolved from simple collections to a rigorous mathematical framework, and why the power set, well-ordering, and the continuum hypothesis remain some of the most fascinating (and controversial) ideas in math.
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  aboutlogic #18 | The Hidden History of Logic: Jan von Plato on Gödel, Gentzen & Bernays 13.08.2026 1ч 2мин

  aboutlogic #18 | What really happened in the 1930s logic revolution? Jan von Plato (University of Helsinki, ERC Grantee) joins Deniz and Thorsten to uncover the hidden collaborations, misunderstandings, and lost manuscripts that shaped modern logic. From Gödel’s unpublished notes to Gentzen’s lost normalization proof and Bernays’ pivotal role in Hilbert’s school, this episode reveals how the history of logic is far richer—and more interconnected—than we often assume.
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  aboutlogic: premises #05 | Dependent Type Theory: A Revolution in Math & Computer Science 05.08.2026 27мин

  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.
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  aboutlogic #17 | José Pérez Escobar – Wittgenstein, Turing & the Philosophy of Applied Mathematics 29.07.2026 1ч 15мин

  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.
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  aboutlogic: premises #04 | The Harry Potter Approach to Proof Assistants – Lean, Agda & AI 22.07.2026 28мин

  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.
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  aboutlogic #16 | Schröder & Fisseni – The Language of Mathematics: Frames, Narratives & AI 15.07.2026 50мин

  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.
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  aboutlogic: premises #03 | Synthetic vs. Analytic Math: Inspired by Emily Riehl 08.07.2026 38мин

  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.
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  aboutlogic #15 | Emily Riehl – Higher Category Theory, Homotopy & AI in Math 01.07.2026 58мин

  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.
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  aboutlogic: premises #02 | Hilbert’s Hotel & Cantor’s Infinity: The Story of Set Theory 24.06.2026 26мин

  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.
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  #14 aboutlogic | Dana Scott – Lambda Calculus, Forcing & the Foundations of Math 17.06.2026 33мин

  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.
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  aboutlogic: premises #01 | Is Math a Story? A Constructivist Perspective and Captain Ahab's Dilemma 10.06.2026 26мин

  Our weekly Premises: Behind-the-scenes thoughts, deep dives, and the ideas that didn’t fit into the main episodes. Is mathematics a discovery or a story we tell ourselves? In this first aboutlogic: premises episode, Deniz and Thorsten explore why math might be more like fiction than absolute truth and what that means for logic, proof, and the future of the field.
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  aboutlogic #13 | Joel David Hamkins – Set Theory, Pluralism & the Multiverse View 03.06.2026 1ч 24мин

  aboutlogic #13 | In this episode of aboutlogic, we’re joined by Joel David Hamkins, professor at the University of Notre Dame and a leading figure in set theory, mathematical logic, and the philosophy of mathematics. Joel shares his insights into the multiverse view of set theory, a perspective that challenges the traditional "universe view" by embracing a pluralistic approach to mathematical truth. We explore how this view connects to constructivism, potentialism, and the foundations of mathematics, and discuss its implications for understanding concepts like the Continuum Hypothesis (CH) and the nature of mathematical reality. Joel also reflects on the historical contingency of mathematical axioms, the role of categoricity in mathematics, and how different philosophical perspectives, such as Platonism, formalism, and fictionalism, shape the way mathematicians approach their work. Whether you're a mathematician, philosopher, or simply curious about the foundations of logic, this conversation offers a deep dive into the diverse and evolving landscape of mathematical thought.
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  aboutlogic #12 | Urs Schreiber – Quantum (Physics, Computing), Topos & Homotopy Theory 20.05.2026 59мин

  aboutlogic #12 | In this episode of aboutlogic, we’re joined by UrsSchreiber, a senior scientist at New York University Abu Dhabi. Urs shares insights into his work at the intersection of quantum physics, topos theory, and homotopy type theory. We explore how these advanced mathematical frameworks help address fundamental questions in physics, from understanding gauge fields to the role of higher category theory in describing the universe. Urs also discusses the historical and philosophical connections between physics and logic, and how modern mathematics is shaping our understanding of reality.
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  aboutlogic #11 | Season 1 Recap: Feedback, Highlights & Season 2 Preview 06.05.2026 1ч 3мин

  aboutlogic #11 | In this special Season 1 Recap of aboutlogic, Deniz and Thorsten reflect on your comments and feedback, revisit some of the most intriguing topics, and look back at all the incredible guests from the first season. What were the highlights? What did we learn? And what’s in store for Season 2? Join us for a wrap-up filled with insights, gratitude, and a sneak peek at what’s next.
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  aboutlogic #10 | Seunghyun Song & Jordi Fairhurst – ABC Conjecture, Epistemic & Linguistic Justice 22.04.2026 52мин

  aboutlogic #10 | In this episode, we talk with Seunghyun Song and Jordi Fairhurst about the ABC conjecture, the importance of epistemic justice, and the role of linguistic justice in non-Western mathematical traditions. How do diverse perspectives reshape our understanding of mathematics? Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.
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  aboutlogic #09 | Andrej Bauer – 5 Stages of Accepting Intuitionistic Math & Proofs by Contradiction 08.04.2026 48мин

  aboutlogic #09 | In this episode, we talk with Andrej Bauer about the five stages of accepting intuitionistic mathematics and the challenges surrounding proofs by contradiction. Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.
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  aboutlogic #08 | Deborah Kant – Talking with Set Theorists: Insights in Mathematical Philosophy 25.03.2026 46мин

  aboutlogic #08 | In this episode, Deborah Kant presents findings from her interview study with set theorists, exploring the relationship between philosophy and empirical methods in mathematics. Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.
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  aboutlogic #07 | Alexander Steen – Interactive Theorem Provers, Legal Reasoning, Non-Standard Logics 11.03.2026 49мин

  aboutlogic #07 | We’re joined by Alexander Steen, who works on logics to be used in legal contexts. In this episode, we talk about the relationship between ethics and law, how good old-fashioned artificial intelligence can help legal practitioners, and how to use theorem proving practices for this. Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.
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  aboutlogic #06 | Colin Rittberg – Philosophy & Sociology of Mathematics, Epistemic Injustice 25.02.2026 47мин

  aboutlogic #06 | We’re joined by Colin Rittberg to discuss the philosophy and sociology of mathematics and the concept of epistemic injustice within mathematical communities.
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  aboutlogic #05 | Steve Awodey – Homotopy Type Theory, Logic & Philosophy 11.02.2026 51мин

  We’re joined by Steve Awodey, one of the founders of Homotopy Type Theory. In this episode, we talk about the relationship between philosophy and mathematics, the main ideas behind geometric thinking and logic, and how all of this connects to computer science. Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.