List questions from ordered-fields

Published on 13 Jan 2019 - 6:03

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The complete ordered field is unique up to isomorphism

Published on 15 Jan 2019 - 3:55

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The isomorphism between two complete ordered fields is unique

Published on 16 Jan 2019 - 0:42

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A complete ordered field has a unique ordering

Published on 17 Jan 2019 - 4:31

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Using the order axioms of $\mathbb{R}$ to prove the semi-definite positivity property for the absolute value?

Published on 05 Feb 2019 - 15:46

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Intuitive Understanding of Order of Hyperreals

Published on 25 Mar 2026 - 6:05

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Basic things in Archimedean ordered fields

Published on 03 Mar 2019 - 17:26

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Examples of non-orderable fields.

Published on 14 Mar 2019 - 23:12

25

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Prove that $f^{-1}\mathbb{R}^+f\subsetneqq Aut(\mathbb{I})$!

Published on 28 Mar 2019 - 15:37

50

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Prove $x=y ⇔ x≤y ∧ x≥y$ with $x,y \in \mathbb{K}$ if $ \mathbb{K}$ is an ordered field.

Published on 04 May 2019 - 20:50

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

Published on 12 May 2019 - 21:54

104

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Is there a subfield of $\mathbb{R}$ that admits a non-Archimedean order?

Published on 23 May 2019 - 19:45

97

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Is there an ordering on $\mathrm Z$ to make it dense?

Published on 30 May 2019 - 22:26

317

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Uniqueness of $\mathbb{R}$

Published on 02 Jun 2019 - 21:54

891

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What is Tarski’s definition of real number multiplication?

Published on 17 Mar 2026 - 9:56

List Question

The smallest subfield of a complete ordered field is dense in itself

The complete ordered field is unique up to isomorphism

The isomorphism between two complete ordered fields is unique

A complete ordered field has a unique ordering

Using the order axioms of $\mathbb{R}$ to prove the semi-definite positivity property for the absolute value?

Intuitive Understanding of Order of Hyperreals

Basic things in Archimedean ordered fields

Examples of non-orderable fields.

Prove that $f^{-1}\mathbb{R}^+f\subsetneqq Aut(\mathbb{I})$!

Prove $x=y ⇔ x≤y ∧ x≥y$ with $x,y \in \mathbb{K}$ if $ \mathbb{K}$ is an ordered field.

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

Is there a subfield of $\mathbb{R}$ that admits a non-Archimedean order?

Is there an ordering on $\mathrm Z$ to make it dense?

Uniqueness of $\mathbb{R}$

What is Tarski’s definition of real number multiplication?

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