Notre Dame Journal of Formal Logic 56 (1):135-145 (2015)

Joel David Hamkins
Oxford University
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
Keywords continuum hypothesis   multiverse
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DOI 10.1215/00294527-2835047
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