aboutlogic

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

  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 24.06.2026 26min

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

  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 Hear anecdotes about Gödel’s unpublished ideas, Einstein’s influence, and the telephone conversations that shaped modern logic.
• aboutlogic: premises #01 | Is Math a Story? A Constructivist Perspective and Captain Ahab's Dilemma 10.06.2026 26min

  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 03.06.2026 1t 24min

  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.
• aboutlogic #12 | Urs Schreiber – Quantum (Physics, Computing), Topos & Homotopy Theory 20.05.2026 59min

  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.
• aboutlogic #11 | Season 1 Recap: Feedback, Highlights & Season 2 Preview 06.05.2026 1t 3min

  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.
• aboutlogic #10 | Seunghyun Song & Jordi Fairhurst – ABC Conjecture, Epistemic & Linguistic Justice 22.04.2026 52min

  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.
• aboutlogic #09 | Andrej Bauer – 5 Stages of Accepting Intuitionistic Math & Proofs by Contradiction 08.04.2026 48min

  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.
• aboutlogic #08 | Deborah Kant – Talking with Set Theorists: Insights in Mathematical Philosophy 25.03.2026 46min

  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.
• aboutlogic #07 | Alexander Steen – Interactive Theorem Provers, Legal Reasoning, Non-Standard Logics 11.03.2026 49min

  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.
• aboutlogic #06 | Colin Rittberg – Philosophy & Sociology of Mathematics, Epistemic Injustice 25.02.2026 47min

  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.
• aboutlogic #05 | Steve Awodey – Homotopy Type Theory, Logic & Philosophy 11.02.2026 51min

  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.
• aboutlogic #04 | Graham Priest – Working with Contradictions & Paraconsistent Logics 28.01.2026 46min

  Today we’re joined by Graham Priest from New York, a philosopher who also studied mathematics and is well known for many things. In particular, we will talk about contradictory logics – logics where we can work with a contradiction without being able to prove everything. We’ll also discuss non-standard topics, including non-standard arithmetic and non-standard set theory, and how all of this is philosophically motivated. Join the Discussion: Have questions or thoughts to share? Drop a comment below and engage in a discussion with fellow viewers and experts.
• aboutlogic #01 | Thorsten Altenkirch – Theorem Proving, Constructive Math & Type Theory 14.01.2026 26min

  This weeks interview with Thorsten Altenkirch touches on topics like: Theorem proving software in education, constructive mathematics, type theory and many more.
• aboutlogic #02 | Deniz Sarikaya – Philosophy of Math, Sociology, Set Theory & Universe vs Multiverse 14.01.2026 28min

  This weeks interview with Deniz Sarikaya touches on topics like: Philosophy of Mathematical Practice, Sociology of Mathematics, Set Theory and the Universe vs. Multiverse-Debate
• aboutlogic #03 | Kevin Buzzard – Lean & Formal Mathematics 14.01.2026 51min

  This weeks interview with Kevin Buzzard touches on topics like: Theorem Proving Software, LEAN, Fermat's Last Theorem and Foundations of Mathematics.
• aboutlogic Teaser | A Podcast on Logic, Mathematics & Philosophy 14.01.2026

  Welcome to aboutlogic, a dedicated space where the realms of logic, mathematics, philosophy, and computer science converge. Every two weeks, we feature in-depth conversations with some of the most brilliant minds in these fields, who were somehow stupid enough to speak with us.