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aboutlogic

aboutlogic

Deniz Sarikaya, Thorsten Altenkirch 18 Folgen Aug 19, 2026

A bi-weekly podcast where logic, mathematics, philosophy, and computer science meet. It features in-depth conversations with people working in and around the foundations of these subjects, covering topics from the foundations of computer science and set theory to critical thinking, puzzles, and academic life.

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aboutlogic:premises #06 | What Is a Set? A Beginner’s Guide to Set Theory
aboutlogic:premises #06 | What Is a Set? A Beginner’s Guide to Set Theory Aug 19, 2026 1637 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 contin
aboutlogic #18 | The Hidden History of Logic: Jan von Plato on Gödel, Gentzen & Bernays
aboutlogic #18 | The Hidden History of Logic: Jan von Plato on Gödel, Gentzen & Bernays Aug 13, 2026 3772 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 From Gödel’s unpublished notes to Gentzen’s lost normalization proof and Bernays’ pivotal role in Hilbert’s school, this episode reveals how the his
aboutlogic: premises #05 | Dependent Type Theory: A Revolution in Math & Computer Science
aboutlogic: premises #05 | Dependent Type Theory: A Revolution in Math & Computer Science Aug 5, 2026 1669 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 d
aboutlogic #17 | José Pérez Escobar – Wittgenstein, Turing & the Philosophy of Applied Mathematics
aboutlogic #17 | José Pérez Escobar – Wittgenstein, Turing & the Philosophy of Applied Mathematics Jul 29, 2026 4539 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 represe
aboutlogic: premises #04 | The Harry Potter Approach to Proof Assistants – Lean, Agda & AI
aboutlogic: premises #04 | The Harry Potter Approach to Proof Assistants – Lean, Agda & AI Jul 22, 2026 1698 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
aboutlogic #16 | Schröder & Fisseni – The Language of Mathematics: Frames, Narratives & AI
aboutlogic #16 | Schröder & Fisseni – The Language of Mathematics: Frames, Narratives & AI Jul 15, 2026 3002 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: premises #03 | Synthetic vs. Analytic Math: Inspired by Emily Riehl
aboutlogic: premises #03 | Synthetic vs. Analytic Math: Inspired by Emily Riehl Jul 8, 2026 2294 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 #15 | Emily Riehl – Higher Category Theory, Homotopy & AI in Math
aboutlogic #15 | Emily Riehl – Higher Category Theory, Homotopy & AI in Math Jul 1, 2026 3513 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: premises #02 | Hilbert’s Hotel & Cantor’s Infinity: The Story of Set Theory
aboutlogic: premises #02 | Hilbert’s Hotel & Cantor’s Infinity: The Story of Set Theory Jun 24, 2026 1617 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 Hote
#14 aboutlogic | Dana Scott – Lambda Calculus, Forcing & the Foundations of Math
#14 aboutlogic | Dana Scott – Lambda Calculus, Forcing & the Foundations of Math Jun 17, 2026 1980 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
aboutlogic: premises #01 | Is Math a Story? A Constructivist Perspective and Captain Ahab's Dilemma
aboutlogic: premises #01 | Is Math a Story? A Constructivist Perspective and Captain Ahab's Dilemma Jun 10, 2026 1561 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.
aboutlogic #13 | Joel David Hamkins – Set Theory, Pluralism & the Multiverse View
aboutlogic #13 | Joel David Hamkins – Set Theory, Pluralism & the Multiverse View Jun 3, 2026 5086 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 trut

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