[1203.4026] Is the dream solution to the continuum hypothesis attainable?

[Stephen P. King]

Hi,

    Adding to the excellent paper that Joseph linked:

http://arxiv.org/abs/1203.4026

Is the dream solution to the continuum hypothesis attainable?

Joel David Hamkins

(Submitted on 19 Mar 2012)

The dream solution of the continuum hypothesis (CH) 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 CH is unattainable.
The article is adapted from and expands upon material in my article, "The set-theoretic multiverse", to appear in the Review of Symbolic Logic (see arXiv:1108.4223).

-- 
Onward!

Stephen

"Nature, to be commanded, must be obeyed." 
~ Francis Bacon