aboutlogic:premises #06 | What Is a Set? A Beginner’s Guide to Set Theory
About this episode
Deniz and Thorsten explore the foundations of set theory, discussing its evolution and key concepts.
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.
People in this episode
Hosts: Deniz Sarikaya, Thorsten Altenkirch
Topics covered
- set theory
- mathematics
- philosophy
- foundations of mathematics
- Cantor's ideas
- Russell's paradox
Keywords
- set theory
- Cantor
- Frege
- Russell's paradox
- power set
- well-ordering
- continuum hypothesis
Mentioned in this episode
Organizations: set theory
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- aboutlogic: premises #07 | Fixing Russell’s Paradox: The Birth of ZFC & Constructive Set Theory
- aboutlogic #19 | Homotopy Type Theory, Narya & the Future of Proof Assistants with Mike Shulman
- aboutlogic #18 | The Hidden History of Logic: Jan von Plato on Gödel, Gentzen & Bernays
- aboutlogic: premises #05 | Dependent Type Theory: A Revolution in Math & Computer Science
- aboutlogic #17 | José Pérez Escobar – Wittgenstein, Turing & the Philosophy of Applied Mathematics
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