Question

Ordinals and cardinals in ETCS set axiomatic

score 260 · Answer 1 · 2026-05-05 11:36:21

260

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Ordinals and cardinals in ETCS set axiomatic

Published on 05 May 2026 - 11:36

score 86 · Answer 2 · 2026-04-29 12:24:30

86

Views

For each cardinal number $u$, there exists a smallest ordinal number $\alpha$ such that card$\alpha$ =$u$ .

Published on 29 Apr 2026 - 12:24

score 129 · Answer 3 · 2026-05-05 19:34:08

129

Views

Intuition regarding: $\kappa^{+}=|\{\kappa\leq\alpha\lt \kappa^{+}\}|$

Published on 05 May 2026 - 19:34

score 123 · Answer 4 · 2026-05-07 12:41:51

123

Views

Set membership as a relation on a particular set

Published on 07 May 2026 - 12:41

score 613 · Answer 5 · 2026-05-07 13:38:20

613

Views

Goodstein's sequences and theorem.

Published on 07 May 2026 - 13:38

score 297 · Answer 6 · 2026-04-29 12:24:26

297

Views

A proof of the simple pressing down lemma, is sup $x=x?$

Published on 29 Apr 2026 - 12:24

score 146 · Answer 7 · 2026-05-07 07:39:09

146

Views

$COF(\lambda)$ is stationary in $k$, where $\lambda < k$ is regular.

Published on 07 May 2026 - 7:39

score 585 · Answer 8 · 2026-04-29 12:24:17

585

Views

Difficulty in understanding cantor normal form

Published on 29 Apr 2026 - 12:24

score 194 · Answer 9 · 2026-05-04 08:46:07

194

Views

What are $L_1$ and $L_2$ in the Gödel Constructible Hierarchy

Published on 04 May 2026 - 8:46

score 72 · Answer 10 · 2026-04-29 12:24:27

72

Views

How many subsets are produced? (a transfinite induction argument)

Published on 29 Apr 2026 - 12:24

score 408 · Answer 11 · 2026-05-10 08:44:38

408

Views

Subset of $\Bbb R$ isomorphic to $\omega+\omega$ and another isomorphic to $\omega\times\omega$

Published on 10 May 2026 - 8:44

score 659 · Answer 12 · 2026-05-07 09:23:56

659

Views

For any countable ordinal $\alpha$, there is some closed set of reals whose Cantor-Bendixson rank is $\alpha$

Published on 07 May 2026 - 9:23

score 156 · Answer 13 · 2026-05-07 17:26:05

156

Views

Cardinality of powers of infinite sets

Published on 07 May 2026 - 17:26

score 462 · Answer 14 · 2026-05-10 12:54:15

462

Views

The successor of an ordinal is also an ordinal

Published on 10 May 2026 - 12:54

score 531 · Answer 15 · 2026-05-10 12:53:26

531

Views

Some question regarding the proof of Cantor normal form.

Published on 10 May 2026 - 12:53

List Question

Ordinals and cardinals in ETCS set axiomatic

For each cardinal number $u$, there exists a smallest ordinal number $\alpha$ such that card$\alpha$ =$u$ .

Intuition regarding: $\kappa^{+}=|\{\kappa\leq\alpha\lt \kappa^{+}\}|$

Set membership as a relation on a particular set

Goodstein's sequences and theorem.

A proof of the simple pressing down lemma, is sup $x=x?$

$COF(\lambda)$ is stationary in $k$, where $\lambda < k$ is regular.

Difficulty in understanding cantor normal form

What are $L_1$ and $L_2$ in the Gödel Constructible Hierarchy

How many subsets are produced? (a transfinite induction argument)

Subset of $\Bbb R$ isomorphic to $\omega+\omega$ and another isomorphic to $\omega\times\omega$

For any countable ordinal $\alpha$, there is some closed set of reals whose Cantor-Bendixson rank is $\alpha$

Cardinality of powers of infinite sets

The successor of an ordinal is also an ordinal

Some question regarding the proof of Cantor normal form.

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