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Is every ccc Baire forcing a Suslin tree?

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#set-theory #boolean-algebra #forcing
51
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Finite/Countable support iteration of countable cofinality and mad families

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#set-theory #cardinals #forcing
117
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Is this exercise on forcing trivial?

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#logic #set-theory #forcing
92
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Permutation model in which infinite sets are Dedekind-infinite

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#set-theory #forcing
86
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Name for this Set

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#set-theory #terminology #forcing
158
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How exactly does $G$ not being generic make $\mathbf{M}[G]$ not a model?

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#logic #set-theory #forcing
44
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A step in Kunen's proof of ccc preserving cofinalities

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#set-theory #forcing
65
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How to understand canonical ultrafilter in forcing chapter of Jech

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#set-theory #forcing
335
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Motivation behind Generic filters in forcing.

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#set-theory #forcing
120
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Confused by Definition 14.25 in Jech regarding generic ultrafilters

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#set-theory #forcing
163
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Explicit construction of the transitive closure in the Boolean valued model

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#set-theory #forcing
41
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κ-chain-condition in Levy collapse

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#set-theory #forcing
153
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BPI in Cohen Model

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#logic #set-theory #boolean-algebra #foundations #forcing
83
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Where does the term 'dense' used in forcing/Martin's axiom come from?

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#general-topology #logic #set-theory #terminology #forcing
103
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Questions about Namba forcing

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#set-theory #forcing

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