Question

Absolutely defined ordering on the set of all infinite sequences is not well ordered

score 180 · Answer 1 · 2020-10-06 04:12:35

180

Views

Absolutely defined ordering on the set of all infinite sequences is not well ordered

Published on 06 Oct 2020 - 4:12

score 273 · Answer 2 · 2020-10-07 18:01:06

273

Views

Well Ordering Principle proof for amount of postage

Published on 07 Oct 2020 - 18:01

score 53 · Answer 3 · 2020-10-08 11:36:17

53

Views

Let $ \;(E,\leq) \;$ be a well ordered set, and $ f \, : \, E \to E \; $ a strictly increasing bijection. Show that $ \; f=Id_E$.

Published on 08 Oct 2020 - 11:36

score 42 · Answer 4 · 2020-10-16 23:03:26

42

Views

Poset of a given set

Published on 16 Oct 2020 - 23:03

score 363 · Answer 5 · 2020-10-19 20:59:26

363

Views

Prove the Well-Ordering Principle by Mathematical Induction.

Published on 19 Oct 2020 - 20:59

score 138 · Answer 6 · 2020-10-20 03:44:51

138

Views

Can the well-ordering principle of the natural numbers replace the principle of mathematical induction in Peano axioms?

Published on 20 Oct 2020 - 3:44

score 51 · Answer 7 · 2020-10-27 13:07:26

51

Views

well-ordered subset of a linearly ordered set and its results

Published on 27 Oct 2020 - 13:07

score 285 · Answer 8 · 2020-11-20 16:08:12

285

Views

Does a bounded well-ordered set have a maximum?

Published on 20 Nov 2020 - 16:08

score 79 · Answer 9 · 2020-11-20 16:42:32

79

Views

Does "normal" induction work in any well-ordered set?

Published on 20 Nov 2020 - 16:42

score 172 · Answer 10 · 2020-11-21 23:26:39

172

Views

Is my proof that the Sharkovsky Ordering is a total ordering, correct?

Published on 21 Nov 2020 - 23:26

score 56 · Answer 11 · 2020-11-30 02:40:55

56

Views

Confusion Regarding Notation in a Proof about two Well-Ordered Sets

Published on 30 Nov 2020 - 2:40

score 121 · Answer 12 · 2020-12-21 10:53:24

121

Views

Do I understand this proof for AoC $\implies$ well-ordering theorem correctly?

Published on 21 Dec 2020 - 10:53

score 504 · Answer 13 · 2020-12-25 22:45:57

504

Views

Any set can be well-ordered; doesn't that imply $(0,1)$ has a smallest real number?

Published on 25 Dec 2020 - 22:45

score 66 · Answer 14 · 2020-12-30 20:28:04

66

Views

Given three equivalent statements, prove equality between two sets of variables

Published on 30 Dec 2020 - 20:28

score 181 · Answer 15 · 2021-01-03 16:04:33

181

Views

A linear order that every proper initial segment is $\operatorname{seg}(x)$ for some $x$ is a well-order

Published on 03 Jan 2021 - 16:04

List Question

Absolutely defined ordering on the set of all infinite sequences is not well ordered

Well Ordering Principle proof for amount of postage

Let $ \;(E,\leq) \;$ be a well ordered set, and $ f \, : \, E \to E \; $ a strictly increasing bijection. Show that $ \; f=Id_E$.

Poset of a given set

Prove the Well-Ordering Principle by Mathematical Induction.

Can the well-ordering principle of the natural numbers replace the principle of mathematical induction in Peano axioms?

well-ordered subset of a linearly ordered set and its results

Does a bounded well-ordered set have a maximum?

Does "normal" induction work in any well-ordered set?

Is my proof that the Sharkovsky Ordering is a total ordering, correct?

Confusion Regarding Notation in a Proof about two Well-Ordered Sets

Do I understand this proof for AoC $\implies$ well-ordering theorem correctly?

Any set can be well-ordered; doesn't that imply $(0,1)$ has a smallest real number?

Given three equivalent statements, prove equality between two sets of variables

A linear order that every proper initial segment is $\operatorname{seg}(x)$ for some $x$ is a well-order

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