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Nov 13, 2018 at 4:34 comment added Mohammad Golshani @YairHayut Thanks a lot for the answer. I did not mention it, but I am mostly interested when there are no very large cardinals, say those incompatible with $V=L.$ In fact I am thinking on a question of Woodin, and the above question, was just a very start step that I asked myself.
Nov 12, 2018 at 13:27 comment added Yair Hayut It collapses it, probably to be of size less or equal to the continuum.
Nov 12, 2018 at 12:09 comment added Asaf Karagila I know that $\Bbb P_\omega$ adds many $\omega$-sequences of ordinals, but what is it doing to the PCF of the measurable cardinals?
Nov 12, 2018 at 10:57 history answered Yair Hayut CC BY-SA 4.0