Question

Showing that it is impossible to prove a statement from some facts.

score 55 · Answer 1 · 2020-09-16 22:24:44

55

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Showing that it is impossible to prove a statement from some facts.

Published on 16 Sep 2020 - 22:24

score 212 · Answer 2 · 2020-09-17 06:21:29

212

Views

Spivak's Calculus Chapter 28-1 (Fields)

Published on 17 Sep 2020 - 6:21

score 70 · Answer 3 · 2020-09-18 14:03:24

70

Views

$\mathbb{R}(x)$ as non o-minimal structure

Published on 18 Sep 2020 - 14:03

score 34 · Answer 4 · 2020-09-21 03:36:04

34

Views

Ordered field with two embeddings

Published on 21 Sep 2020 - 3:36

score 309 · Answer 5 · 2026-03-25 14:28:53

309

Views

What is Arithmetic Continuum

Published on 25 Mar 2026 - 14:28

score 305 · Answer 6 · 2020-10-09 05:05:03

305

Views

Assume $x,y \in F$ and F is an ordered field, if $x<0$ and $y<0$, then $xy>0$.

Published on 09 Oct 2020 - 5:05

score 38 · Answer 7 · 2020-10-29 09:49:33

38

Views

Every cofinal real closed subfield is dense?

Published on 29 Oct 2020 - 9:49

score 100 · Answer 8 · 2020-12-03 12:43:10

100

Views

Formal proof about ordered fields

Published on 03 Dec 2020 - 12:43

score 70 · Answer 9 · 2020-12-26 00:09:12

70

Views

Relaxation of valuation axioms?

Published on 26 Dec 2020 - 0:09

score 359 · Answer 10 · 2021-01-01 16:44:21

359

Views

How can you prove $\mathbb Q$ is Archimedean directly from its axiomatization as the minimal ordered field?

Published on 01 Jan 2021 - 16:44

score 30 · Answer 11 · 2021-01-05 08:58:31

30

Views

A corollary of the Nested Interval Property.

Published on 05 Jan 2021 - 8:58

score 197 · Answer 12 · 2021-01-05 09:47:40

197

Views

Is Nested Interval Property $\iff$ Order Completeness in any Ordered Field?

Published on 05 Jan 2021 - 9:47

score 165 · Answer 13 · 2021-01-06 19:21:28

165

Views

Is Nested Interval Property $\iff$ Monotone Convergence Property in an ordered field?

Published on 06 Jan 2021 - 19:21

score 163 · Answer 14 · 2021-01-08 04:13:44

163

Views

Monotone Convergence Property $\iff$ Order Completeness in an arbitrary ordered field.

Published on 08 Jan 2021 - 4:13

score 1.4k · Answer 15 · 2021-01-08 12:14:36

1.4k

Views

Does the set of all formal Laurent series form an ordered field?

Published on 08 Jan 2021 - 12:14

List Question

Showing that it is impossible to prove a statement from some facts.

Spivak's Calculus Chapter 28-1 (Fields)

$\mathbb{R}(x)$ as non o-minimal structure

Ordered field with two embeddings

What is Arithmetic Continuum

Assume $x,y \in F$ and F is an ordered field, if $x<0$ and $y<0$, then $xy>0$.

Every cofinal real closed subfield is dense?

Formal proof about ordered fields

Relaxation of valuation axioms?

How can you prove $\mathbb Q$ is Archimedean directly from its axiomatization as the minimal ordered field?

A corollary of the Nested Interval Property.

Is Nested Interval Property $\iff$ Order Completeness in any Ordered Field?

Is Nested Interval Property $\iff$ Monotone Convergence Property in an ordered field?

Monotone Convergence Property $\iff$ Order Completeness in an arbitrary ordered field.

Does the set of all formal Laurent series form an ordered field?

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