Question

i want reference about the method(below) of describing Infinity...

score 44 · Answer 1 · 2026-04-12 19:08:51

44

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i want reference about the method(below) of describing Infinity...

Published on 12 Apr 2026 - 19:08

score 169 · Answer 2 · 2026-05-10 14:07:27

169

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Can we define the unordered sum of a set of hyperreal numbers?

Published on 10 May 2026 - 14:07

score 40 · Answer 3 · 2026-04-15 22:46:16

40

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Is there an element of the hyperreals minus the reals that isn't a hyperirrational?

Published on 15 Apr 2026 - 22:46

score 76 · Answer 4 · 2026-04-17 09:46:57

76

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Does it make sense to talk about rationality and countability when dealing with nonstandard quantities?

Published on 17 Apr 2026 - 9:46

score 136 · Answer 5 · 2026-05-10 18:29:10

136

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Bound for roots of a polynomial with coefficients in a non-Archimedean valued field

Published on 10 May 2026 - 18:29

score 244 · Answer 6 · 2026-04-10 06:51:47

244

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What is the Galois group of the Hyperreal Numbers?

Published on 10 Apr 2026 - 6:51

score 383 · Answer 7 · 2026-04-14 12:21:00

383

Views

Is this elementary, nilpotent-free approach to automatic differentiation strong enough for real analysis? How similar is it to Newton's system?

Published on 14 Apr 2026 - 12:21

score 289 · Answer 8 · 2026-04-14 15:16:58

289

Views

In Non-standard analysis, is the number of natural numbers a hyperreal number?

Published on 14 Apr 2026 - 15:16

score 71 · Answer 9 · 2026-05-10 14:55:35

71

Views

Hyperfinite intervals are uncountable but nonstandard models of Peano arithmetic can be countable?

Published on 10 May 2026 - 14:55

score 132 · Answer 10 · 2026-04-14 16:15:22

132

Views

Finding functions $f:\Bbb{R}\to\Bbb{R}$ for which $\sum_{x\in\Bbb{R}}f(x)$ converges

Published on 14 Apr 2026 - 16:15

score 218 · Answer 11 · 2026-05-10 15:45:55

218

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Can the real numbers be embedded into all non-Archimedean real closed fields?

Published on 10 May 2026 - 15:45

score 79 · Answer 12 · 2026-04-11 18:11:04

79

Views

It would be possible to define an uniform distribution on $\Bbb N$ using infinitesimals?

Published on 11 Apr 2026 - 18:11

score 106 · Answer 13 · 2026-04-11 09:39:36

106

Views

Lacunary Sequence with positive upper density

Published on 11 Apr 2026 - 9:39

score 60 · Answer 14 · 2026-03-25 07:43:37

60

Views

What hyperreal functions satisfy this condition involving positive infinitesimals?

Published on 25 Mar 2026 - 7:43

score 103 · Answer 15 · 2026-03-25 06:06:25

103

Views

Using hyperreals to express the interval of uniform convergence of $x^n$ in a closed form

Published on 25 Mar 2026 - 6:06

List Question

i want reference about the method(below) of describing Infinity...

Can we define the unordered sum of a set of hyperreal numbers?

Is there an element of the hyperreals minus the reals that isn't a hyperirrational?

Does it make sense to talk about rationality and countability when dealing with nonstandard quantities?

Bound for roots of a polynomial with coefficients in a non-Archimedean valued field

What is the Galois group of the Hyperreal Numbers?

Is this elementary, nilpotent-free approach to automatic differentiation strong enough for real analysis? How similar is it to Newton's system?

In Non-standard analysis, is the number of natural numbers a hyperreal number?

Hyperfinite intervals are uncountable but nonstandard models of Peano arithmetic can be countable?

Finding functions $f:\Bbb{R}\to\Bbb{R}$ for which $\sum_{x\in\Bbb{R}}f(x)$ converges

Can the real numbers be embedded into all non-Archimedean real closed fields?

It would be possible to define an uniform distribution on $\Bbb N$ using infinitesimals?

Lacunary Sequence with positive upper density

What hyperreal functions satisfy this condition involving positive infinitesimals?

Using hyperreals to express the interval of uniform convergence of $x^n$ in a closed form

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