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Forcing is a method first used to prove the continuum hypothesis is independent of the classical axioms of set theory
0
votes
Is every set class generic over a given inner model?
1) I beleive that your formulation is incorrect. Solovay's Conjecture (SC) is: For every a (a set of ordinals) such that in L[a] zero-sharp does not exist then a is set generic. By Jensen's coding the …
8
votes
1
answer
674
views
Is $\kappa$-distributive the same as $\kappa$-strategically closed?
References for the definitions are Jech's Set Theory Definition 15.5, and Cummings paper in the Handbook of set theory Definition 5.15.
10
votes
1
answer
3k
views
What is random real forcing?
Hi all,
Can someone please explain the idea and the main steps in a random real forcing?
- what makes it (the new real) different from adding a Cohen real?
- is there a good reference for it? …