Question

Ordinals and cardinals in ETCS set axiomatic

score 243 · Answer 1 · 2026-03-22 19:54:33

243

Views

Ordinals and cardinals in ETCS set axiomatic

Published on 22 Mar 2026 - 19:54

score 76 · Answer 2 · 2026-03-22 11:20:01

76

Views

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

Published on 22 Mar 2026 - 11:20

score 118 · Answer 3 · 2026-03-20 00:54:13

118

Views

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

Published on 20 Mar 2026 - 0:54

score 112 · Answer 4 · 2026-03-22 16:24:18

112

Views

Set membership as a relation on a particular set

Published on 22 Mar 2026 - 16:24

score 599 · Answer 5 · 2026-03-22 03:56:55

599

Views

Goodstein's sequences and theorem.

Published on 22 Mar 2026 - 3:56

score 290 · Answer 6 · 2026-03-20 06:05:46

290

Views

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

Published on 20 Mar 2026 - 6:05

score 132 · Answer 7 · 2026-03-21 01:57:02

132

Views

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

Published on 21 Mar 2026 - 1:57

score 572 · Answer 8 · 2026-03-22 04:36:13

572

Views

Difficulty in understanding cantor normal form

Published on 22 Mar 2026 - 4:36

score 185 · Answer 9 · 2026-03-22 12:15:02

185

Views

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

Published on 22 Mar 2026 - 12:15

score 65 · Answer 10 · 2026-03-22 09:01:20

65

Views

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

Published on 22 Mar 2026 - 9:01

score 396 · Answer 11 · 2026-03-22 23:21:48

396

Views

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

Published on 22 Mar 2026 - 23:21

score 648 · Answer 12 · 2026-03-20 11:18:16

648

Views

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

Published on 20 Mar 2026 - 11:18

score 145 · Answer 13 · 2026-03-19 19:40:46

145

Views

Cardinality of powers of infinite sets

Published on 19 Mar 2026 - 19:40

score 454 · Answer 14 · 2026-03-24 17:00:57

454

Views

The successor of an ordinal is also an ordinal

Published on 24 Mar 2026 - 17:00

score 522 · Answer 15 · 2026-03-24 22:45:29

522

Views

Some question regarding the proof of Cantor normal form.

Published on 24 Mar 2026 - 22:45

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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