Question

How to show $\chi_{{}^{}P} ={}^{}\chi_{P}$ by transfer principle?

score 89 · Answer 1 · 2013-05-10 08:11:30

89

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How to show $\chi_{{}^{}P} ={}^{}\chi_{P}$ by transfer principle?

Published on 10 May 2013 - 8:11

score 358 · Answer 2 · 2013-05-12 16:11:06

358

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Is ${}^{}\mathbb{Q}={}^{}\mathbb{R}$?

Published on 12 May 2013 - 16:11

score 61 · Answer 3 · 2013-05-13 17:26:20

61

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Is it true $\operatorname{st}(^\ast A) = \overline{A}$, when $A$ is a bounded subset of $\mathbb{R}$?

Published on 13 May 2013 - 17:26

score 66 · Answer 4 · 2013-05-15 05:08:49

66

Views

What is $(\operatorname{monad}(0), \leq)$ isomorphic to?

Published on 15 May 2013 - 5:08

score 131 · Answer 5 · 2013-05-15 08:45:44

131

Views

Can't that every standard positive real number is limited be proved?

Published on 15 May 2013 - 8:45

score 138 · Answer 6 · 2013-05-17 07:53:59

138

Views

Is there an element in $^* \Bbb N$ is Dedekind-infinite?

Published on 17 May 2013 - 7:53

score 139 · Answer 7 · 2013-05-20 09:37:19

139

Views

Can a set containing non-standard elements only, have a legal set formation?

Published on 20 May 2013 - 9:37

score 97 · Answer 8 · 2013-05-20 10:55:27

97

Views

How to show that $f : {}^\ast \Bbb R \to {}^\ast \Bbb R$ is bounded, if it obtains a limited value everywhere?

Published on 20 May 2013 - 10:55

score 653 · Answer 9 · 2013-05-21 23:03:21

653

Views

Are definitions these of Big-O notation equivalent to the standard?

Published on 21 May 2013 - 23:03

score 390 · Answer 10 · 2013-05-22 13:00:07

390

Views

Ultrapower construction of ${}^{\ast \ast}\Bbb R$

Published on 22 May 2013 - 13:00

score 1.2k · Answer 11 · 2013-05-25 12:39:08

1.2k

Views

Why continuum hypothesis implies the unique hyperreal system, ${}^{\ast}{\Bbb R}$?

Published on 25 May 2013 - 12:39

score 1k · Answer 12 · 2013-05-29 07:25:22

1k

Views

A few questions on nonstandard analysis

Published on 29 May 2013 - 7:25

score 2.5k · Answer 13 · 2013-05-29 07:38:01

2.5k

Views

I would like to know an intuitive way to understand a Cauchy sequence and the Cauchy criterion.

Published on 29 May 2013 - 7:38

score 311 · Answer 14 · 2026-02-26 08:31:22

311

Views

Nonstandard structure of Presburger arithmetic

Published on 26 Feb 2026 - 8:31

score 426 · Answer 15 · 2013-06-12 19:17:37

426

Views

Are real numbers also hyperreal? Are there hyperreal $\epsilon$ between $-a$ and $a$ for any positive real $a$?

Published on 12 Jun 2013 - 19:17

List Question

How to show $\chi_{{}^{}P} ={}^{}\chi_{P}$ by transfer principle?

Is ${}^{}\mathbb{Q}={}^{}\mathbb{R}$?

Is it true $\operatorname{st}(^\ast A) = \overline{A}$, when $A$ is a bounded subset of $\mathbb{R}$?

What is $(\operatorname{monad}(0), \leq)$ isomorphic to?

Can't that every standard positive real number is limited be proved?

Is there an element in $^* \Bbb N$ is Dedekind-infinite?

Can a set containing non-standard elements only, have a legal set formation?

How to show that $f : {}^\ast \Bbb R \to {}^\ast \Bbb R$ is bounded, if it obtains a limited value everywhere?

Are definitions these of Big-O notation equivalent to the standard?

Ultrapower construction of ${}^{\ast \ast}\Bbb R$

Why continuum hypothesis implies the unique hyperreal system, ${}^{\ast}{\Bbb R}$?

A few questions on nonstandard analysis

I would like to know an intuitive way to understand a Cauchy sequence and the Cauchy criterion.

Nonstandard structure of Presburger arithmetic

Are real numbers also hyperreal? Are there hyperreal $\epsilon$ between $-a$ and $a$ for any positive real $a$?

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