Skip to main content
5 events
when toggle format what by license comment
Dec 9, 2013 at 11:44 comment added Joel David Hamkins Very nice answer! In your first case, you get $2^{\omega_1}$ many models, arising from different choices of that diagonalization procedure. In the second case, with set forcing you'll get only continuum many models for each forcing notion, but I suppose one can look at class forcing over $M$ and then construct again $2^{\omega_1}$ many different forcing extensions. So isn't the "plethora" the same size in both cases?
Dec 9, 2013 at 9:18 vote accept Asaf Karagila
Dec 9, 2013 at 8:40 history edited François G. Dorais CC BY-SA 3.0
cleanup
Dec 9, 2013 at 8:10 history edited François G. Dorais CC BY-SA 3.0
plugged the last case...
Dec 9, 2013 at 7:44 history answered François G. Dorais CC BY-SA 3.0