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Results tagged with set-theory
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user 43322
forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
6
votes
1
answer
487
views
Forcing the negation of CH without adding Cohen reals over L
Suppose CH + "there are no Cohen reals over L". Can we force the negation of CH without adding any Cohen real over L?
- 1,750
7
votes
1
answer
613
views
Failure of Shoenfield's Absoluteness
Shoenfield's absoluteness states that if $M \subseteq N$ are models of $ZF$ and $M \supseteq \omega_1^N$, then every $\Sigma^1_2$ formula with parameters in $M$ is absolute between $M$ and $N$. In par …
- 133