Question

Showing that $\Bbb{N}$ is well-ordered. Do I need an arbitrary case?

score 76 · Answer 1 · 2018-07-08 01:39:04

76

Views

Showing that $\Bbb{N}$ is well-ordered. Do I need an arbitrary case?

Published on 08 Jul 2018 - 1:39

score 1.2k · Answer 2 · 2018-07-09 14:25:49

1.2k

Views

How to prove there exists an uncountable well-ordered set without using axiom of replacement

Published on 09 Jul 2018 - 14:25

score 662 · Answer 3 · 2026-03-25 12:32:41

662

Views

isomorphism from well ordered set to ordinal

Published on 25 Mar 2026 - 12:32

score 138 · Answer 4 · 2018-07-11 14:53:39

138

Views

Jech Set Theory 3rd Edition Ex 3.10

Published on 11 Jul 2018 - 14:53

score 33 · Answer 5 · 2018-07-20 10:56:43

33

Views

Prove that $p\le x<p+1$ by well ordering property

Published on 20 Jul 2018 - 10:56

score 270 · Answer 6 · 2018-07-27 13:26:55

270

Views

the power set of every well-ordered set is well-ordered implies well ordering

Published on 27 Jul 2018 - 13:26

score 159 · Answer 7 · 2018-07-31 11:39:44

159

Views

Example of Set which possesses well ordering property other than Integers

Published on 31 Jul 2018 - 11:39

score 117 · Answer 8 · 2018-08-10 02:09:46

117

Views

What is the order type of the set of smooth functions ordered by growth rate?

Published on 10 Aug 2018 - 2:09

score 255 · Answer 9 · 2018-08-11 09:23:54

255

Views

Prove of function is surjective iff it has a right inverse using the well-ordering Theorem

Published on 11 Aug 2018 - 9:23

score 107 · Answer 10 · 2018-08-13 18:58:32

107

Views

Is this an equivalent form of the Well-Ordering Principle?

Published on 13 Aug 2018 - 18:58

score 608 · Answer 11 · 2026-03-22 19:24:37

608

Views

Finding a well-ordering of the natural numbers of a given order type

Published on 22 Mar 2026 - 19:24

score 416 · Answer 12 · 2018-08-29 05:03:18

416

Views

Proving well ordering principle from PMI (PCI) from peano axioms

Published on 29 Aug 2018 - 5:03

score 55 · Answer 13 · 2018-08-29 19:16:09

55

Views

Equivalence between conditions for induction on well-ordered sets.

Published on 29 Aug 2018 - 19:16

score 140 · Answer 14 · 2018-09-03 07:30:46

140

Views

If $\omega^\alpha$ has cofinality $\omega^\beta$, and $\beta\le\gamma\le\alpha$, does it also have a cofinal subset of order type $\omega^\gamma$?

Published on 03 Sep 2018 - 7:30

score 198 · Answer 15 · 2018-09-03 08:08:37

198

Views

Given an ordinal with a particular cofinality, can we find other cofinal subsets with order type and cofinality at least that large?

Published on 03 Sep 2018 - 8:08

List Question

Showing that $\Bbb{N}$ is well-ordered. Do I need an arbitrary case?

How to prove there exists an uncountable well-ordered set without using axiom of replacement

isomorphism from well ordered set to ordinal

Jech Set Theory 3rd Edition Ex 3.10

Prove that $p\le x<p+1$ by well ordering property

the power set of every well-ordered set is well-ordered implies well ordering

Example of Set which possesses well ordering property other than Integers

What is the order type of the set of smooth functions ordered by growth rate?

Prove of function is surjective iff it has a right inverse using the well-ordering Theorem

Is this an equivalent form of the Well-Ordering Principle?

Finding a well-ordering of the natural numbers of a given order type

Proving well ordering principle from PMI (PCI) from peano axioms

Equivalence between conditions for induction on well-ordered sets.

If $\omega^\alpha$ has cofinality $\omega^\beta$, and $\beta\le\gamma\le\alpha$, does it also have a cofinal subset of order type $\omega^\gamma$?

Given an ordinal with a particular cofinality, can we find other cofinal subsets with order type and cofinality at least that large?

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