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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 …
Eran's user avatar
  • 639
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.
Eran's user avatar
  • 639
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? …
Eran's user avatar
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