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Does forcing need a countable transitive model

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#set-theory #forcing
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Powers of infinite cardinals in the generic extension

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#set-theory #forcing
173
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Existence of a probability measure under which a subset of $[0,1]$ cannot be approximated by a Borel set

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#measure-theory #set-theory #forcing #large-cardinals
361
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Half of a Cohen real

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#set-theory #forcing
95
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Adding sets with forcing

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#logic #set-theory #forcing
196
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On Lévy collapsing the reals

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#reference-request #set-theory #forcing
179
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Forcing and antichains

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#set-theory #forcing
503
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Random reals and Martin-Löf randomness

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#reference-request #logic #set-theory #computability #forcing
125
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If $G$ is a generic ultrafilter, why $(\exists a\in A)(a\in G)\leftrightarrow \Sigma A\in G$?

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#boolean-algebra #filters #forcing
241
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A name that witnesses an existential statement is forced?

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#set-theory #forcing
384
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exercise VII.G5 in kunen

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#set-theory #forcing
864
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Problem with forcing

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#set-theory #forcing
160
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Are forcing techniques possible to automate for mechanized reasoning?

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#logic #axioms #incompleteness #forcing
431
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Trivial Projection of Forcing Posets and Generics

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#set-theory #forcing
554
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Proving that $\sf Add$$(\aleph_\omega , 1)$ collapses cardinals $\leq \aleph_\omega$

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#set-theory #cardinals #forcing

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