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Is $2^{\aleph_0} = \aleph_1$?

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#set-theory #examples-counterexamples #cardinals
380
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A generalization of "any countable limit ordinal is the union of a sequence of increasing ordinal"

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#set-theory #cardinals #ordinals
429
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Help understanding cardinal multiplication and infinite Cartesian products

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#elementary-set-theory #definition #cardinals
283
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Relation between successor cardinals and power sets

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#elementary-set-theory #cardinals
195
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Show that same cardinal number defines and equivalence relation

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#cardinals #equivalence-relations
57
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Cardinality and Set Theory

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#elementary-set-theory #cardinals
136
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What is the cardinality of all binary sequnces (infinte and finite) that the sequnce 01 does not apper in them

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#elementary-set-theory #cardinals
100
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Proving $a + a = a$ if a statement is true

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#elementary-set-theory #cardinals
881
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Limit Ordinals as Infinite Ordinals and other questions

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#elementary-set-theory #cardinals #ordinals
154
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What properties does $A\to B$ satisfy under 1-1 correspondence?

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#elementary-set-theory #cardinals
54
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Set $T$ is Countably Infinite

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#numerical-methods #cardinals
186
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Cardinality and Concrete Mathematics

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#set-theory #cardinals
62
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If $A$, $B$, $C$ are any infinite sets then is $|A|=|B|$ and $|A|=|C|$ $\Longleftrightarrow |A|=|B\cup{}C|$?

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#elementary-set-theory #cardinals #infinity
163
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Can we simplify analysis by getting rid of the uncountable reals?

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#analysis #cardinals #computability
154
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Regularity of $\omega_1$ and axiom of choice

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#elementary-set-theory #cardinals #axiom-of-choice

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