aboutlogic

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 | 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 | 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 | 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?

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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.

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