Question

Questions about the Strong Induction Principle and the Well Ordering Principle

score 109 · Answer 1 · 2020-07-03 22:11:58

109

Views

Questions about the Strong Induction Principle and the Well Ordering Principle

Published on 03 Jul 2020 - 22:11

score 160 · Answer 2 · 2020-07-11 07:12:48

160

Views

A proof of well-ordering theorem in "Set Theory and General Topology" by Fuichi Uchida.

Published on 11 Jul 2020 - 7:12

score 139 · Answer 3 · 2020-07-13 02:25:03

139

Views

Why is the well-ordering theorem so important in the set theory?

Published on 13 Jul 2020 - 2:25

score 957 · Answer 4 · 2016-10-20 12:17:42

957

Views

Well ordering theorem, partial ordering

Published on 20 Oct 2016 - 12:17

score 633 · Answer 5 · 2016-10-24 07:23:07

633

Views

For every ordinal $\alpha$, there is a cardinal number greater than $\alpha$ without AC

Published on 24 Oct 2016 - 7:23

score 4.3k · Answer 6 · 2016-10-24 20:25:22

4.3k

Views

"There is no well-ordered uncountable set of real numbers"

Published on 24 Oct 2016 - 20:25

score 123 · Answer 7 · 2016-10-30 04:20:37

123

Views

How to solve a particular well ordering problem

Published on 30 Oct 2016 - 4:20

score 373 · Answer 8 · 2016-10-31 05:23:54

373

Views

Well order proof that a² -a is divisible by 2 if a is a natural number

Published on 31 Oct 2016 - 5:23

score 3k · Answer 9 · 2016-11-08 23:33:32

3k

Views

Every well-ordered set is isomorphic to a unique ordinal

Published on 08 Nov 2016 - 23:33

score 634 · Answer 10 · 2016-11-16 16:39:45

634

Views

Is an algorithm known for ordering natural numbers in the $\epsilon_0$ ordinal?

Published on 16 Nov 2016 - 16:39

score 905 · Answer 11 · 2016-11-17 02:11:47

905

Views

Proving a set $(X, \le)$ is well ordered.

Published on 17 Nov 2016 - 2:11

score 264 · Answer 12 · 2016-11-22 11:42:20

264

Views

How do we know that the algorithm for polynomial division terminates after finitely many steps?

Published on 22 Nov 2016 - 11:42

score 218 · Answer 13 · 2016-12-02 00:12:23

218

Views

Direct Proof of Mathematical Induction Using Well-Ordering Principle

Published on 02 Dec 2016 - 0:12

score 57 · Answer 14 · 2016-12-05 13:05:06

57

Views

Explanation of a proof of $\mathbb{N}$ being well-ordered by $\in$

Published on 05 Dec 2016 - 13:05

score 140 · Answer 15 · 2016-12-07 13:56:30

140

Views

Is there any set-theoretic axiom that is equivalent to "there exists a well-order on $\mathbb{R}$"?

Published on 07 Dec 2016 - 13:56

List Question

Questions about the Strong Induction Principle and the Well Ordering Principle

A proof of well-ordering theorem in "Set Theory and General Topology" by Fuichi Uchida.

Why is the well-ordering theorem so important in the set theory?

Well ordering theorem, partial ordering

For every ordinal $\alpha$, there is a cardinal number greater than $\alpha$ without AC

"There is no well-ordered uncountable set of real numbers"

How to solve a particular well ordering problem

Well order proof that a² -a is divisible by 2 if a is a natural number

Every well-ordered set is isomorphic to a unique ordinal

Is an algorithm known for ordering natural numbers in the $\epsilon_0$ ordinal?

Proving a set $(X, \le)$ is well ordered.

How do we know that the algorithm for polynomial division terminates after finitely many steps?

Direct Proof of Mathematical Induction Using Well-Ordering Principle

Explanation of a proof of $\mathbb{N}$ being well-ordered by $\in$

Is there any set-theoretic axiom that is equivalent to "there exists a well-order on $\mathbb{R}$"?

Trending Questions

Popular # Hahtags

Popular Questions