The Continuum Hypothesis as a Fundamental Axiom
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.
Faculty & Researcher Profile
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.
4standalone talks4total lectures7hrecorded
Standalone talks by Joel David Hamkins
4Self-contained public lectures, keynote addresses, and research seminars.
Set Theory and the Philosophy of Set Theory
Joel David Hamkins explores the historical emergence and philosophical underpinnings of set theory, from Cantor's insights to Zermelo's axiomatic framework and its foundational role in mathematics.
Bi-interpretation of Weak Set Theories
Joel David Hamkins presents on the bi-interpretation phenomenon in weak set theories, contrasting it with the robust mutual interpretability observed in stronger axiomatic systems like ZFC.
The Continuum Hypothesis and Other Set-Theoretic Ideas for Non-Set-Theorists (Part 1)
Joel David Hamkins presents an accessible yet rigorous introduction to the Continuum Hypothesis and foundational set-theoretic concepts, including Cantor-Bendixson and ordinal numbers.