Is the Dream Solution of the Continuum Hypothesis Attainable?

Notre Dame Journal of Formal Logic 56 (1):135-145 (2015)
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The dream solution of the continuum hypothesis would be a solution by which we settle the continuum hypothesis on the basis of a newly discovered fundamental principle of set theory, a missing axiom, widely regarded as true. Such a dream solution would indeed be a solution, since we would all accept the new axiom along with its consequences. In this article, however, I argue that such a dream solution to $\mathrm {CH}$ is unattainable



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Joel David Hamkins
Oxford University

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References found in this work

The set-theoretic multiverse.Joel David Hamkins - 2012 - Review of Symbolic Logic 5 (3):416-449.
Set-theoretic geology.Gunter Fuchs, Joel David Hamkins & Jonas Reitz - 2015 - Annals of Pure and Applied Logic 166 (4):464-501.
The Reality of Mathematics and the Case of Set Theory.Daniel Isaacson - 2010 - In Zsolt Novak & Andras Simonyi (eds.), Truth, Reference and Realism. Budapest: Central European University Press. pp. 1-76.
Axioms of symmetry: Throwing darts at the real number line.Chris Freiling - 1986 - Journal of Symbolic Logic 51 (1):190-200.

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