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

score 41 · Answer 1 · 2019-03-26 12:31:10

41

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

Published on 26 Mar 2019 - 12:31

score 164 · Answer 2 · 2019-03-31 15:36:33

164

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

Published on 31 Mar 2019 - 15:36

score 37 · Answer 3 · 2019-04-01 15:18:27

37

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

Published on 01 Apr 2019 - 15:18

score 71 · Answer 4 · 2019-04-02 14:44:39

71

Views

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

Published on 02 Apr 2019 - 14:44

score 132 · Answer 5 · 2019-04-10 18:54:58

132

Views

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

Published on 10 Apr 2019 - 18:54

score 241 · Answer 6 · 2019-04-18 23:17:26

241

Views

What is the Galois group of the Hyperreal Numbers?

Published on 18 Apr 2019 - 23:17

score 380 · Answer 7 · 2019-04-26 05:37:32

380

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 26 Apr 2019 - 5:37

score 286 · Answer 8 · 2019-04-26 11:50:37

286

Views

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

Published on 26 Apr 2019 - 11:50

score 70 · Answer 9 · 2026-03-24 23:45:17

70

Views

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

Published on 24 Mar 2026 - 23:45

score 129 · Answer 10 · 2019-05-03 17:13:52

129

Views

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

Published on 03 May 2019 - 17:13

score 214 · Answer 11 · 2019-05-12 21:54:00

214

Views

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

Published on 12 May 2019 - 21:54

score 76 · Answer 12 · 2019-05-19 12:55:57

76

Views

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

Published on 19 May 2019 - 12:55

score 103 · Answer 13 · 2019-05-20 21:24:32

103

Views

Lacunary Sequence with positive upper density

Published on 20 May 2019 - 21:24

score 59 · Answer 14 · 2026-03-03 09:46:36

59

Views

What hyperreal functions satisfy this condition involving positive infinitesimals?

Published on 03 Mar 2026 - 9:46

score 102 · Answer 15 · 2026-03-02 22:41:28

102

Views

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

Published on 02 Mar 2026 - 22:41

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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