Question

Question on the hierarchy of named Ordinals

score 63 · Answer 1 · 2021-12-18 18:50:49

63

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Question on the hierarchy of named Ordinals

Published on 18 Dec 2021 - 18:50

score 135 · Answer 2 · 2021-12-24 12:55:13

135

Views

Is there a pathological continuous function $\ f:\mathbb{R}\to\mathbb{R}\ $ that is nowhere increasing or decreasing and has no local extrema?

Published on 24 Dec 2021 - 12:55

score 119 · Answer 3 · 2021-12-27 02:43:02

119

Views

How to prove the following inequality with "real" or "continuous" induction?

Published on 27 Dec 2021 - 2:43

score 116 · Answer 4 · 2022-02-21 23:18:10

116

Views

Exercises on transfinite induction

Published on 21 Feb 2022 - 23:18

score 96 · Answer 5 · 2022-03-18 13:50:39

96

Views

Explain why transfinite induction does not assume that a property must be true for zero.

Published on 18 Mar 2022 - 13:50

score 146 · Answer 6 · 2022-03-20 00:33:57

146

Views

Questions about the induction on cardinals

Published on 20 Mar 2022 - 0:33

score 126 · Answer 7 · 2022-04-09 00:52:44

126

Views

Transfinite Construction, an intuitive interpretation.

Published on 09 Apr 2022 - 0:52

score 57 · Answer 8 · 2022-05-03 05:25:44

57

Views

Obscure question in Smullyan and Fitting: "strengthening of definition by finite recurrence"

Published on 03 May 2022 - 5:25

score 94 · Answer 9 · 2022-05-07 22:34:44

94

Views

Where do I use finiteness in this proof of: In ZF, the compactness theorem implies the Axiom of Choice for collections of finite sets?

Published on 07 May 2022 - 22:34

score 51 · Answer 10 · 2022-05-23 20:32:02

51

Views

Is this proof of the First Transfinite Induction Principle incomplete or incorrect?

Published on 23 May 2022 - 20:32

score 222 · Answer 11 · 2022-06-21 20:34:33

222

Views

I have some questions about the Ross-Littlewood Paradox

Published on 21 Jun 2022 - 20:34

score 121 · Answer 12 · 2022-07-11 20:33:39

121

Views

What are some examples of fixed point problems where transfinite constructions elucidated the problem?

Published on 11 Jul 2022 - 20:33

score 125 · Answer 13 · 2022-08-09 18:59:54

125

Views

Construct a function that will be disjoint with continuum many lines

Published on 09 Aug 2022 - 18:59

score 1.8k · Answer 14 · 2022-08-20 23:01:22

1.8k

Views

Can you prove that proof-by-induction is invalid for the real interval [0, 1]?

Published on 20 Aug 2022 - 23:01

score 73 · Answer 15 · 2022-09-04 15:58:13

73

Views

if $\omega^{\alpha} =A \cup B$ then $A$ or $B$ has order type $\omega^{\alpha}$

Published on 04 Sep 2022 - 15:58

List Question

Question on the hierarchy of named Ordinals

Is there a pathological continuous function $\ f:\mathbb{R}\to\mathbb{R}\ $ that is nowhere increasing or decreasing and has no local extrema?

How to prove the following inequality with "real" or "continuous" induction?

Exercises on transfinite induction

Explain why transfinite induction does not assume that a property must be true for zero.

Questions about the induction on cardinals

Transfinite Construction, an intuitive interpretation.

Obscure question in Smullyan and Fitting: "strengthening of definition by finite recurrence"

Where do I use finiteness in this proof of: In ZF, the compactness theorem implies the Axiom of Choice for collections of finite sets?

Is this proof of the First Transfinite Induction Principle incomplete or incorrect?

I have some questions about the Ross-Littlewood Paradox

What are some examples of fixed point problems where transfinite constructions elucidated the problem?

Construct a function that will be disjoint with continuum many lines

Can you prove that proof-by-induction is invalid for the real interval [0, 1]?

if $\omega^{\alpha} =A \cup B$ then $A$ or $B$ has order type $\omega^{\alpha}$

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