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Nov 18, 2012 at 3:00 comment added David Roberts I should clarify I that my main interest is not Easton's results, but in adding proper classes of sets. Cardinal inequalities are unimportant for my purposes.
Nov 18, 2012 at 2:47 history edited Andreas Blass CC BY-SA 3.0
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Nov 18, 2012 at 1:59 comment added Andreas Blass Shortly before Silver announced his breakthrough result, Frank Drake wrote a paper explaining why not only Easton's method but also variations that people had been trying didn't work. The paper is "On failures at singular cardinals in generic extensions," J. London Math. Soc., series 2, vol. 9 (1974/75) pp. 219-228. I believe the motivation for Drake's paper was that, because attempts to extend Easton's result to singular cardinals were unsuccessful, they weren't being published, so people were independently inventing the same methods and discovering that they fail.
Nov 18, 2012 at 1:51 history answered Andreas Blass CC BY-SA 3.0