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The structure of countable ordinals

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#set-theory #arithmetic #ordinals
82
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A problem on ordinal arithmetic.

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#elementary-set-theory #ordinals
126
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If $\alpha,\beta$ are at most countable, so are $\alpha+\beta,\alpha\cdot\beta,\alpha^\beta$

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#elementary-set-theory #ordinals
878
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How uncountable is the set of countable ordinals?

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#set-theory #ordinals
78
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Naturally definable order relations

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#set-theory #relations #ordinals
633
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For all infinite cardinals $\kappa, \ (\kappa \times \kappa, <_{cw}) \cong (\kappa, \in).$

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#elementary-set-theory #proof-writing #cardinals #ordinals
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Why $\omega+1$ and $\omega^2$ are not cardinal numbers?

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#elementary-set-theory #cardinals #ordinals
1.1k
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Visualizations of ordinal numbers

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#set-theory #arithmetic #ordinals #visualization
1.3k
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Understanding countable ordinals (as trees, step by step)

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#set-theory #arithmetic #infinity #ordinals #trees
813
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Godel's pairing function and proving c = c*c for aleph cardinals

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#set-theory #cardinals #ordinals
70
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Noninital ordinal of a set

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#set-theory #ordinals
308
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Every woset is an ordinal.

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#elementary-set-theory #ordinals
209
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Order type of standard models of arithmetic

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#logic #model-theory #ordinals
173
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Is the ordinal $\omega \uparrow^\omega \omega$ still recursive?

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#computability #ordinals
794
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Bijection between countable ordinals and reals

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#set-theory #cardinals #ordinals

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