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15
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Ordinals without set theory?

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#logic #set-theory #first-order-logic #order-theory #ordinals
78
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Relating the cofinality and regular cardinals

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#set-theory #ordinals
331
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What does the Kirby-Paris Theorem mean?

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#sequences-and-series #set-theory #ordinals
147
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Questions about the induction on cardinals

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#proof-explanation #set-theory #cardinals #ordinals #transfinite-induction
80
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Axiomatization of $(\mathbb Z, <)$

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#first-order-logic #integers #ordinals #axioms
131
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What is the minimal theory for subset relation to be connective over those kinds of ordinals?

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#set-theory #ordinals
38
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$\gamma<\theta$ iff $\gamma\in\theta$

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#set-theory #order-theory #ordinals #well-orders
150
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Order Isomorphism between $\omega_1$ and $\omega_1 \times \omega_1$

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#set-theory #ordinals
99
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Is the union of a set of ordinals a nonlimit ordinal?

Published on
#elementary-set-theory #ordinals
127
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Transfinite Construction, an intuitive interpretation.

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#set-theory #ordinals #visualization #transfinite-induction
33
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Is it true that $\aleph(A_n)<c\implies \sum_{n\in\mathbb{N}}\aleph(A_n)<c$?

Published on
#cardinals #ordinals
61
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closed set and the supremum in order topology

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#set-theory #ordinals #order-topology
69
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Are there ordinals $\alpha,\beta$ such that $\alpha+\beta \neq \beta+\alpha$ but $\alpha2+\beta2=\beta2+\alpha2$?

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#ordinals
23
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Unexplained notation in Devlin's Joy of Sets: theorem 1.7.11, Condition for Woset to be Isomorphic to Ordinal

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#ordinals
58
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Obscure question in Smullyan and Fitting: "strengthening of definition by finite recurrence"

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#induction #ordinals #transfinite-induction

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