Re: Paper and slides on indefiniteness of CH

Dear Sy,

Thanks, that helps. But just to be clear, does \textsf{SIMH}^\# imply the  following statement?

If \varphi holds of \omega_1^V in a #-generated outer model of V which preserves \omega_1^V then \varphi holds of \omega_1^V in an inner model of V.

The reason I ask is that for \textsf{SIMH}, the analogous statement (deleting #-generated) holds and is implied by \textsf{SIMH}(\omega_1).


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