Minimal universes

Mathematics – Logic

Scientific paper

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Scientific paper

An inner model M is MINIMAL if there is a class A such that is amenable
yet has no transitive proper elementary submodel. We study minimal universes in
the context of 0#. For example we prove: If 0# exists then there is an inner
model which is minimal and locally generic over L(i.e., every set in the inner
model is set-generic over L). This answers a question of Mack Stanley.

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