List questions from ordered-fields

Published on 14 Apr 2026 - 2:21

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The complete ordered field is unique up to isomorphism

Published on 17 Apr 2026 - 3:05

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The isomorphism between two complete ordered fields is unique

Published on 12 Apr 2026 - 13:56

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A complete ordered field has a unique ordering

Published on 14 Apr 2026 - 20:46

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

Published on 15 Apr 2026 - 6:50

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Intuitive Understanding of Order of Hyperreals

Published on 17 Apr 2026 - 9:27

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Basic things in Archimedean ordered fields

Published on 14 Apr 2026 - 13:38

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Examples of non-orderable fields.

Published on 13 Apr 2026 - 2:03

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

Published on 16 Apr 2026 - 14:30

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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 14 Apr 2026 - 23:01

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

Published on 12 Apr 2026 - 2:04

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

Published on 11 Apr 2026 - 20:38

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

Published on 11 Apr 2026 - 17:52

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Uniqueness of $\mathbb{R}$

Published on 12 Apr 2026 - 22:29

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What is Tarski’s definition of real number multiplication?

Published on 17 Apr 2026 - 0:55

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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