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Jan 13, 2011 at 23:56 vote accept David Roberts
Jan 6, 2011 at 2:06 comment added Jason In regard to Stefan's answer, see related: mathoverflow.net/questions/48522/…. I think boolean-valued models form a very elegant and intuitive approach to forcing.
Jan 6, 2011 at 0:07 comment added Andrés E. Caicedo Let me say something about the analogy that you mention (it is typical to compare forcing extensions to field extensions, and certainly it may help build some intuition to pursue the analogy). There is a serious discrepancy though: Given a typical field, there are several isomorphic fields that realize a concrete field extension. In set theory this does not happen, because (transitive) models are rigid. In particular, different generic objects for the same poset always give us non-isomorphic extensions.
Jan 5, 2011 at 21:47 answer added Stefan Geschke timeline score: 13
Jan 5, 2011 at 20:52 answer added Mike Shulman timeline score: 15
Jan 5, 2011 at 14:35 answer added Joel David Hamkins timeline score: 28
Jan 5, 2011 at 11:05 answer added Jason timeline score: 22
Jan 5, 2011 at 9:11 answer added François G. Dorais timeline score: 12
Jan 5, 2011 at 7:50 history asked David Roberts CC BY-SA 2.5