An example of totally ordered field with cardinality larger than continuum.
127200
Are there fields and ordered fields of every infinite cardinality?
115449
Inclusion of Fields whose order is a prime power
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
116146
A cardinal $\kappa$ such that $2^{\lambda}<\kappa$ for all $\lambda<\kappa$ is regular?
42464
How can I change a field cardinality?
47159
Wanted: example of an increasing sequence of $\sigma$-fields whose union is not a $\sigma$-field
7007
If $\alpha$ is a regular cardinal, the union of an elementary chain of $\alpha$-saturated models is also a $\alpha$-saturated model
19414
Uncountable subset with uncountable complement, without the Axiom of Choice
140868
Axiomatization of $\mathbb{Z}$ via well-ordering of positives.
6189
Examples of infinite groups such that all their respective elements are of finite order.
3217
Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
63489
The class of cardinal numbers is well ordered
139826
arbitrary large finite sums of an uncountable set.
10839
Problem in Cardinality and Order
12436
The cardinality of the set of all finite subsets of an infinite set
149673
Cardinality of an infinite union of finite sets
132537
Class of sets of a given infinite cardinality