On Foreman's Maximality Principle
نویسندگان
چکیده
In this paper we consider Foreman’s maximality principle, which says that any non-trivial forcing notion either adds a new real or collapses some cardinals. We prove the consistency of some of its consequences. We observe that it is consistent that every c.c.c. forcing adds a real and that for every uncountable regular cardinal κ, every κ-closed forcing of size 2<κ collapses some cardinal.
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ورودعنوان ژورنال:
- J. Symb. Log.
دوره 81 شماره
صفحات -
تاریخ انتشار 2016