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Proving a relation between Ordinal Exponentiation and its corresponding set

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#elementary-set-theory #ordinals
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Biggest countable ordinal number

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#elementary-set-theory #ordinals
85
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Ordinal $10^\omega$

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#elementary-set-theory #ordinals
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Ordinal arithmetic question

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#set-theory #ordinals
818
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A set which is $\in$-transitive and well ordered by $\in$ is an ordinal

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#set-theory #ordinals
239
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Raising a partial function to the power of an ordinal

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#general-topology #reference-request #cardinals #ordinals
365
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The order-theoretic structure of the ordinal numbers in non-standard models

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#logic #set-theory #ordinals #nonstandard-models
98
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$\sigma$-field and Uncountable ordinal

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#measure-theory #set-theory #ordinals
141
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Insistence on limit ordinal in Kunen's proof of reflection.

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#set-theory #ordinals
43
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How to show $A_1 \approx A_2 \iff \mathrm{card}(A_1)=\mathrm{card}(A_2)$

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#elementary-set-theory #cardinals #ordinals
156
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why $\alpha ,\beta,\gamma$ :$(\beta + \gamma)\alpha = \beta\alpha + \beta \gamma$ doesn't hold?

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#set-theory #ordinals
512
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Prove $\omega_1$ is first countable

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#general-topology #ordinals #first-countable
128
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Ordinal existence

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#logic #set-theory #ordinals
761
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increasing sequence in $\omega_1$

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#general-topology #ordinals
196
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ind-completion and ordinals

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#category-theory #ordinals

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