Question

Is there an unbounded countable set of ordinals?

score 135 · Answer 1 · 2023-11-28 23:10:17

135

Views

Is there an unbounded countable set of ordinals?

Published on 28 Nov 2023 - 23:10

score 68 · Answer 2 · 2026-03-28 12:14:28

68

Views

An infinite linear system of equations with an uncountable number $A$ of equations

Published on 28 Mar 2026 - 12:14

score 348 · Answer 3 · 2023-12-11 01:15:30

348

Views

Constructing rationals from countable ordinals

Published on 11 Dec 2023 - 1:15

score 49 · Answer 4 · 2023-12-19 09:03:20

49

Views

Cofinalities of ordinals $\omega_1 \omega, \omega_2 \omega_1, \omega_2 \omega_1 \omega$?

Published on 19 Dec 2023 - 9:03

score 95 · Answer 5 · 2023-12-21 13:01:12

95

Views

Is omega minus one an ordinal?

Published on 21 Dec 2023 - 13:01

score 155 · Answer 6 · 2023-12-24 15:46:18

155

Views

Is the Stone Cech compactification $\beta\omega$ of $\omega$ radial?

Published on 24 Dec 2023 - 15:46

score 147 · Answer 7 · 2023-12-30 13:37:48

147

Views

Are the reals a "subset" of the class of ordinals

Published on 30 Dec 2023 - 13:37

score 105 · Answer 8 · 2024-01-06 04:53:35

105

Views

Showing there is an inductive set that contains no limit ordinals

Published on 06 Jan 2024 - 4:53

score 66 · Answer 9 · 2024-01-07 19:06:07

66

Views

What exactly is the $\in$-Induction Principle?

Published on 07 Jan 2024 - 19:06

score 60 · Answer 10 · 2024-01-08 05:04:13

60

Views

Step in Jech's proof that any well-ordered set is isomorphic to an ordinal

Published on 08 Jan 2024 - 5:04

score 182 · Answer 11 · 2026-03-25 11:12:29

182

Views

How to define ordinal addition

Published on 25 Mar 2026 - 11:12

score 50 · Answer 12 · 2024-01-10 07:26:45

50

Views

$\gamma\mapsto \sup_{\xi \in \gamma}f(\xi)$ is not strictly bounded

Published on 10 Jan 2024 - 7:26

score 197 · Answer 13 · 2026-03-25 06:05:57

197

Views

Ascertaining whether "absolute" standardness of $\omega$ is actually possible in ZFC

Published on 25 Mar 2026 - 6:05

score 59 · Answer 14 · 2024-01-12 22:50:32

59

Views

How to well order the set of all functions with domain an ordinal and codomain a set?

Published on 12 Jan 2024 - 22:50

score 58 · Answer 15 · 2024-01-13 10:53:04

58

Views

Why do we define cardinality only for well-orderable sets?

Published on 13 Jan 2024 - 10:53

List Question

Is there an unbounded countable set of ordinals?

An infinite linear system of equations with an uncountable number $A$ of equations

Constructing rationals from countable ordinals

Cofinalities of ordinals $\omega_1 \omega, \omega_2 \omega_1, \omega_2 \omega_1 \omega$?

Is omega minus one an ordinal?

Is the Stone Cech compactification $\beta\omega$ of $\omega$ radial?

Are the reals a "subset" of the class of ordinals

Showing there is an inductive set that contains no limit ordinals

What exactly is the $\in$-Induction Principle?

Step in Jech's proof that any well-ordered set is isomorphic to an ordinal

How to define ordinal addition

$\gamma\mapsto \sup_{\xi \in \gamma}f(\xi)$ is not strictly bounded

Ascertaining whether "absolute" standardness of $\omega$ is actually possible in ZFC

How to well order the set of all functions with domain an ordinal and codomain a set?

Why do we define cardinality only for well-orderable sets?

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