Joel David Hamkins Blog: Continuum Hypothesis
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Joel David Hamkins's research blog posts on the continuum hypothesis, including the set-theoretic multiverse view, forcing arguments, and whether CH has a definite answer. Readers see how a working set theorist reasons about independence results and the philosophical debate they provoke.
More resources on Continuum Hypothesis
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Wikipedia: Continuum Hypothesis
Encyclopedia article on Cantor's continuum hypothesis, covering cardinality, Gödel's and Cohen's independence proofs, the generalized continuum hypothesis, and current views among set theorists, with extensive references. Readers get a map of the problem's history and the key results needed for further study.
Set Theory
Learn Set Theory & the Continuum Hypothesis with Joel David Hamkins' video course! Explore key concepts and expand your mathematical understanding.
How To Count Past Infinity
A Vsauce video by Michael Stevens explaining ordinal and cardinal numbers, from counting with omega to the distinction between countable and uncountable sets. Viewers come away understanding why some infinities are larger than others and how transfinite counting works.
Set Theory (Studies in Logic, Vol. 34)
Graduate treatment of what ZFC can and cannot prove. Formalises the axioms, builds the von Neumann hierarchy, absoluteness and Godel's constructible universe, then develops forcing to establish the independence of the continuum hypothesis and the axiom of choice.
Set Theory and the Continuum Hypothesis
Paul Cohen's monograph presenting his proof that the continuum hypothesis and the axiom of choice are independent of standard set theory, introducing the forcing method, with background on logic and Gödel's constructible universe. Readers follow the original argument from its inventor.