Question

Is $\mathbb{L}$ literally the smallest model of $\sf ZF(C)$ ? (In $\sf NBG$)

score 427 · Answer 1 · 2017-05-01 21:09:41

427

Views

Is $\mathbb{L}$ literally the smallest model of $\sf ZF(C)$ ? (In $\sf NBG$)

Published on 01 May 2017 - 21:09

score 318 · Answer 2 · 2017-05-02 00:55:22

318

Views

Supremum of ordinal sequence under addition

Published on 02 May 2017 - 0:55

score 99 · Answer 3 · 2017-05-04 11:36:30

99

Views

For which $\kappa$ can we have if $\#\alpha=\#\beta=\kappa$, then the following also have cardinality $\kappa$?

Published on 04 May 2017 - 11:36

score 321 · Answer 4 · 2026-03-25 13:55:32

321

Views

Prove the limit case: if $\alpha,\beta$ are countable ordinals, then $\alpha+\beta$ is also countable

Published on 25 Mar 2026 - 13:55

score 546 · Answer 5 · 2026-04-01 04:28:13

546

Views

Infinite decreasing sequence of ordinals.

Published on 01 Apr 2026 - 4:28

score 219 · Answer 6 · 2017-05-06 17:42:34

219

Views

How to see if the cardinality of $\alpha^{\beta}$ is $\#\alpha^{\#\beta}$?

Published on 06 May 2017 - 17:42

score 70 · Answer 7 · 2017-05-07 10:07:54

70

Views

A set with the same order structure as the ordinals

Published on 07 May 2017 - 10:07

score 174 · Answer 8 · 2017-05-07 20:21:05

174

Views

Set Theory Ordinal Problem

Published on 07 May 2017 - 20:21

score 182 · Answer 9 · 2017-05-08 15:35:04

182

Views

Existence of an ordinal $\beta$ such that $\omega_1^\beta = \beta$

Published on 08 May 2017 - 15:35

score 102 · Answer 10 · 2017-05-12 05:03:05

102

Views

Cofinality of an ordinal

Published on 12 May 2017 - 5:03

score 175 · Answer 11 · 2017-05-15 12:48:31

175

Views

Decomposing ordinal numbers

Published on 15 May 2017 - 12:48

score 106 · Answer 12 · 2017-05-16 16:15:02

106

Views

Do I need that $\mathrm{Ord}$ is well-founded before proving that it is totally ordered?

Published on 16 May 2017 - 16:15

score 65 · Answer 13 · 2017-05-16 22:56:22

65

Views

Ordinal question

Published on 16 May 2017 - 22:56

score 78 · Answer 14 · 2017-05-22 04:54:16

78

Views

Lemma about ordinal arithmetic

Published on 22 May 2017 - 4:54

score 477 · Answer 15 · 2026-03-25 14:26:54

477

Views

Are the hyperreals emerging at some stage of the surreal construction?

Published on 25 Mar 2026 - 14:26

List Question

Is $\mathbb{L}$ literally the smallest model of $\sf ZF(C)$ ? (In $\sf NBG$)

Supremum of ordinal sequence under addition

For which $\kappa$ can we have if $\#\alpha=\#\beta=\kappa$, then the following also have cardinality $\kappa$?

Prove the limit case: if $\alpha,\beta$ are countable ordinals, then $\alpha+\beta$ is also countable

Infinite decreasing sequence of ordinals.

How to see if the cardinality of $\alpha^{\beta}$ is $\#\alpha^{\#\beta}$?

A set with the same order structure as the ordinals

Set Theory Ordinal Problem

Existence of an ordinal $\beta$ such that $\omega_1^\beta = \beta$

Cofinality of an ordinal

Decomposing ordinal numbers

Do I need that $\mathrm{Ord}$ is well-founded before proving that it is totally ordered?

Ordinal question

Lemma about ordinal arithmetic

Are the hyperreals emerging at some stage of the surreal construction?

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