Question

Show that there exists a fixed point for this (set theoretic) class function

score 963 · Answer 1 · 2016-06-01 10:10:04

963

Views

Show that there exists a fixed point for this (set theoretic) class function

Published on 01 Jun 2016 - 10:10

score 271 · Answer 2 · 2016-06-06 05:48:00

271

Views

Ordinal Arithmetic: $n+\alpha=\alpha$

Published on 06 Jun 2016 - 5:48

score 289 · Answer 3 · 2016-06-07 03:58:30

289

Views

Does there exist an increasing unbounded sequence in $\omega_{1}$?

Published on 07 Jun 2016 - 3:58

score 90 · Answer 4 · 2016-06-08 14:10:44

90

Views

Any initial infinite ordinal is of the form $\omega_{\alpha}$

Published on 08 Jun 2016 - 14:10

score 285 · Answer 5 · 2016-06-08 17:25:38

285

Views

Sum of finite ordinals: $\lambda_1+\lambda_2+\dots+\lambda_n+\dots=\omega$

Published on 08 Jun 2016 - 17:25

score 363 · Answer 6 · 2016-06-08 19:47:24

363

Views

$(\omega +3)\cdot\omega=\omega\cdot\omega$

Published on 08 Jun 2016 - 19:47

score 696 · Answer 7 · 2026-03-27 01:04:06

696

Views

Well-orderings of $\mathbb R$ without Choice

Published on 27 Mar 2026 - 1:04

score 532 · Answer 8 · 2026-03-25 14:00:17

532

Views

A specific example of transfinite induction

Published on 25 Mar 2026 - 14:00

score 283 · Answer 9 · 2016-06-17 16:26:14

283

Views

Every transitive $\in$-linearly ordered set is $\in$-well ordered without axiom of foundation

Published on 17 Jun 2016 - 16:26

score 1k · Answer 10 · 2016-06-18 23:12:12

1k

Views

$\aleph_1$ and $\omega_1$, what are they?

Published on 18 Jun 2016 - 23:12

score 198 · Answer 11 · 2016-06-21 14:04:25

198

Views

Existence and Uniqueness of an ordinal

Published on 21 Jun 2016 - 14:04

score 89 · Answer 12 · 2016-06-21 19:23:53

89

Views

A 'bad' definition for the cardinality of a set

Published on 21 Jun 2016 - 19:23

score 130 · Answer 13 · 2016-06-28 15:02:36

130

Views

Is ω really the first ordinal transfinity?

Published on 28 Jun 2016 - 15:02

score 53 · Answer 14 · 2016-06-29 15:20:59

53

Views

Ordinal Numbers: is it possible to have an isomorphic copy of an ordinal $\alpha$ inside an ordinal $\beta < \alpha$?

Published on 29 Jun 2016 - 15:20

score 63 · Answer 15 · 2016-07-01 16:00:21

63

Views

Incompressible countable Total-ordering implies well-ordering i

Published on 01 Jul 2016 - 16:00

List Question

Show that there exists a fixed point for this (set theoretic) class function

Ordinal Arithmetic: $n+\alpha=\alpha$

Does there exist an increasing unbounded sequence in $\omega_{1}$?

Any initial infinite ordinal is of the form $\omega_{\alpha}$

Sum of finite ordinals: $\lambda_1+\lambda_2+\dots+\lambda_n+\dots=\omega$

$(\omega +3)\cdot\omega=\omega\cdot\omega$

Well-orderings of $\mathbb R$ without Choice

A specific example of transfinite induction

Every transitive $\in$-linearly ordered set is $\in$-well ordered without axiom of foundation

$\aleph_1$ and $\omega_1$, what are they?

Existence and Uniqueness of an ordinal

A 'bad' definition for the cardinality of a set

Is ω really the first ordinal transfinity?

Ordinal Numbers: is it possible to have an isomorphic copy of an ordinal $\alpha$ inside an ordinal $\beta < \alpha$?

Incompressible countable Total-ordering implies well-ordering i

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