The Continuum Hypothesis as a Fundamental Axiom

Name: The Continuum Hypothesis as a Fundamental Axiom
Uploaded: 2025-05-20T15:29:00.000Z
Duration: 1 h 51 min 47 s
Channel: Joel David Hamkins
Description: Joel David Hamkins presents a rigorous argument for considering the Continuum Hypothesis as a foundational axiom, exploring its implications for the structure of mathematics and set theory.

Joel David Hamkins

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University of Oxford·Joel David Hamkins

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The Continuum Hypothesis as a Fundamental Axiom

Joel David Hamkins University of Oxford

1:51:47·2025·research level·Research Seminar

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Joel David Hamkins presents a rigorous argument for considering the Continuum Hypothesis as a foundational axiom, exploring its implications for the structure of mathematics and set theory.

This is a talk given by Joel David Hamkins at the Oxford Philosophy of Mathematics Seminar on 19 May 2025. There is a one hour presentation followed by one hour of Q&A with comments by Daniel Isaacson, Timothy Williamson, Wesley Wrigley, Christopher Scambler, Alex Paseau, Marcus Giaquinto, Beau Mount, and others.

Mathematics Theory & Algos Category Theory, Topos Theory & Set Foundations Formal Methods & Type Theory Set Theory, Forcing, Large Cardinals & Incompleteness Set Theory & Proof Techniques Formal Verification & Logic Axiomatic Systems

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Joel David Hamkins

Professor of Logic

Joel David Hamkins is a professor of logic at the University of Oxford, renowned for his contributions to set theory, particularly forcing and large cardinals.

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