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Feb 19, 2017 at 11:51 comment added Joel David Hamkins See also Victoria Gitman's nice blog post containing a full account of this proof: boolesrings.org/victoriagitman/2013/10/09/… (and click through to the second post)
Apr 6, 2012 at 16:12 vote accept Richard Rast
Apr 6, 2012 at 16:12 comment added Richard Rast This is the forcing I wanted to do, but unfortunately I lacked the background to prove (to my own satisfaction) that it actually works.
Apr 6, 2012 at 15:53 answer added Emil Jeřábek timeline score: 11
Apr 6, 2012 at 15:50 comment added François G. Dorais I don't have the reference handy, but the forcing consists of all set-sized partial injections from $\mathbf{ON}$ to $\mathbf{V}$, ordered by extension. Since this is $\kappa$-closed for all $\kappa$, no new sets are added in the forcing extension, and the generic is a bijection from $\mathbf{ON}$ to $\mathbf{V}$.
Apr 6, 2012 at 15:16 history asked Richard Rast CC BY-SA 3.0