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Lower bound for the cardinality of a filter

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#elementary-set-theory #solution-verification #cardinals #filters
114
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Cardinality of the set of all finite subsets of an infinite set.

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#set-theory #cardinals
69
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Is it possible to define the largest of cardinals?

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#elementary-set-theory #set-theory #cardinals
62
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Prove $C$ and $S$ are $\Sigma^1_1$ and $\Pi^1_1$ respectively.

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#general-topology #set-theory #cardinals #descriptive-set-theory
377
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Prove the following set is uncountable

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#elementary-set-theory #cardinals
30
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Prove that $|\Bbb N^{J_n}|=|\Bbb N|$.

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#cardinals
164
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Injectivity of Cardinal Exponentiation

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#algebraic-geometry #set-theory #cardinals
66
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Prove that card$( \bigcup \{A_n : n\in \mathbb{N}\} ) \leq$ card$(\mathbb{R})$

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#analysis #cardinals
64
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Cardinality of a elementary abelian pro-$p$ group

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#group-theory #cardinals #profinite-groups #pro-p-groups
332
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Infinite powers of aleph-omega

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#set-theory #cardinals
510
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Why Doesn't My Proof, That Rational Numbers Are Uncountable, Work? (Using Cantors Argument)

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#elementary-set-theory #cardinals #rational-numbers
49
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Definability and Models of a first-order theory of cardinals

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#logic #set-theory #first-order-logic #cardinals
244
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Prove $|(0, 1]| = |\mathbb{R}|$

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#functions #elementary-set-theory #cardinals
28
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Understanding this definition of a relation on an ideal

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#set-theory #ideals #relations #cardinals
52
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Prove $P(\mathbb{N}\setminus \left \{ 6 \right \})$~$P(\mathbb{N})\setminus P(\left \{ 6 \right \})$

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#elementary-set-theory #cardinals

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