On the consistency strength of the inner model hypothesis

نویسندگان

  • Sy-David Friedman
  • Philip D. Welch
  • W. Hugh Woodin
چکیده

We repeat the statement of the IMH, as presented in [5]. A sentence in the language of set theory is internally consistent iff it holds in some (not necessarily proper) inner model. The meaning of internal consistency depends on what inner models exist: If we enlarge the universe, it is possible that more statements become internally consistent. The Inner Model Hypothesis asserts that the universe has been maximised with respect to internal consistency:

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عنوان ژورنال:
  • J. Symb. Log.

دوره 73  شماره 

صفحات  -

تاریخ انتشار 2008