Question

What are possible ways to refer to a particular (unique) real number that encodes a copy of a chosen large countable ordinal?

score 115 · Answer 1 · 2018-09-29 09:27:49

What are possible ways to refer to a particular (unique) real number that encodes a copy of a chosen large countable ordinal?

score 285 · Answer 2 · 2018-09-30 14:40:06

285

Views

What are the order types of all the total orders on $\mathbb{N}$?

Published on 30 Sep 2018 - 14:40

score 389 · Answer 3 · 2018-10-01 23:27:17

389

Views

Is there a standard notation for an ordinal number with cardinality of the continuum?

Published on 01 Oct 2018 - 23:27

score 988 · Answer 4 · 2018-10-02 01:53:48

988

Views

Why does $1+\omega=\omega$ with ordinal addition

Published on 02 Oct 2018 - 1:53

score 120 · Answer 5 · 2018-10-03 22:24:23

120

Views

Given an ordinal $(\alpha,\in)$, how do I find a subset of rationals which is isomorphic to it?

Published on 03 Oct 2018 - 22:24

score 577 · Answer 6 · 2018-10-03 23:17:53

577

Views

Show that $\omega + \omega$ is countable.

Published on 03 Oct 2018 - 23:17

score 245 · Answer 7 · 2018-10-04 05:18:17

245

Views

The intersection of a class of ordinals belongs to that class

Published on 04 Oct 2018 - 5:18

score 48 · Answer 8 · 2018-10-05 12:32:13

48

Views

Linearity of ordinals

Published on 05 Oct 2018 - 12:32

score 579 · Answer 9 · 2018-10-06 21:23:33

579

Views

Sequential compactness of $S_\Omega$ and unbounded sequences.

Published on 06 Oct 2018 - 21:23

score 227 · Answer 10 · 2018-10-08 06:37:43

227

Views

Is there a standard ordering of non-ordinal order types?

Published on 08 Oct 2018 - 6:37

score 284 · Answer 11 · 2018-10-08 19:17:44

284

Views

What is the cardinality of the set of equivalence classes of countable order types under bi-embeddability?

Published on 08 Oct 2018 - 19:17

score 200 · Answer 12 · 2026-03-25 11:06:29

200

Views

Are ordinals greater than $\varepsilon_0$ used outside Ordinal Analysis?

Published on 25 Mar 2026 - 11:06

score 28 · Answer 13 · 2018-10-14 12:47:21

28

Views

If $\alpha$ and $\beta$ are ordinals. Then $\gamma=\alpha\cap\beta$ is an ordinal

Published on 14 Oct 2018 - 12:47

score 790 · Answer 14 · 2018-10-14 13:07:55

790

Views

Every set of ordinals is well-ordered with respect to $\in$

Published on 14 Oct 2018 - 13:07

score 37 · Answer 15 · 2018-10-14 13:37:28

37

Views

Suppose that $X$ is a set of ordinals. Then $\bigcup X$ is transitive

Published on 14 Oct 2018 - 13:37

List Question

What are possible ways to refer to a particular (unique) real number that encodes a copy of a chosen large countable ordinal?

What are the order types of all the total orders on $\mathbb{N}$?

Is there a standard notation for an ordinal number with cardinality of the continuum?

Why does $1+\omega=\omega$ with ordinal addition

Given an ordinal $(\alpha,\in)$, how do I find a subset of rationals which is isomorphic to it?

Show that $\omega + \omega$ is countable.

The intersection of a class of ordinals belongs to that class

Linearity of ordinals

Sequential compactness of $S_\Omega$ and unbounded sequences.

Is there a standard ordering of non-ordinal order types?

What is the cardinality of the set of equivalence classes of countable order types under bi-embeddability?

Are ordinals greater than $\varepsilon_0$ used outside Ordinal Analysis?

If $\alpha$ and $\beta$ are ordinals. Then $\gamma=\alpha\cap\beta$ is an ordinal

Every set of ordinals is well-ordered with respect to $\in$

Suppose that $X$ is a set of ordinals. Then $\bigcup X$ is transitive

Trending Questions

Popular # Hahtags

Popular Questions