List questions from surreal-numbers

Published on 28 Feb 2022 - 15:13

39

Views

Is there any theory looking at infinitesimal probabilities as surreal numbers??

Published on 11 Mar 2022 - 21:52

83

Views

Transfinitely iterating the Puiseux, Levi-Civita, or Hahn series constructions

Published on 05 Apr 2022 - 9:52

175

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Inductive hypothesis in surreal multiplication proof

Published on 23 Apr 2022 - 21:30

96

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What's wrong with the following definition of $\lim$ and derivative for the surreal numbers?

Published on 28 Apr 2022 - 18:58

87

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Attempt do define a limit of a function for surreal numbers?

Published on 29 Apr 2022 - 7:18

110

Views

Surreal numbers ordering and false inequality $1\le0$

Published on 22 Jun 2022 - 8:05

206

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Can the hyper hyper real numbers be constructed?

Published on 28 Jun 2022 - 4:00

282

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Can the surreal numbers be completed to form an ordered field?

Published on 28 Jun 2022 - 17:09

44

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Is $No^2$ or $(\mathbb{R}^*)^2$ rotation invariant?

Published on 06 Jul 2022 - 21:14

157

Views

What is the “maximal hyperreal field”?

Published on 16 Aug 2022 - 4:00

254

Views

In the field $No$ of surreal numbers, does $\underbrace {\frac 1 \omega + \frac 1 \omega + ...}_{\omega\text{ times}}= 1?$

Published on 30 Aug 2022 - 22:54

55

Views

Hyper-extensions of Hom space

Published on 17 Oct 2022 - 7:39

97

Views

Can the Surreals be Cauchy complete by allowing for ordinal length sequences?

Published on 23 Oct 2022 - 17:34

142

Views

Hyperreals and Suslin problem

Published on 10 Dec 2022 - 19:22

List Question

How much arithmetic can we find definably in the surreals?

Is there any theory looking at infinitesimal probabilities as surreal numbers??

Transfinitely iterating the Puiseux, Levi-Civita, or Hahn series constructions

Inductive hypothesis in surreal multiplication proof

What's wrong with the following definition of $\lim$ and derivative for the surreal numbers?

Attempt do define a limit of a function for surreal numbers?

Surreal numbers ordering and false inequality $1\le0$

Can the hyper hyper real numbers be constructed?

Can the surreal numbers be completed to form an ordered field?

Is $No^2$ or $(\mathbb{R}^*)^2$ rotation invariant?

What is the “maximal hyperreal field”?

In the field $No$ of surreal numbers, does $\underbrace {\frac 1 \omega + \frac 1 \omega + ...}_{\omega\text{ times}}= 1?$

Hyper-extensions of Hom space

Can the Surreals be Cauchy complete by allowing for ordinal length sequences?

Hyperreals and Suslin problem

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