Does GCH imply the power set of every well ordered set is well ordering
42314
Without appealing to choice, can we prove that if $X$ is well-orderable, then so too is $2^X$?
35022
When do we need composite order groups for bilinear maps and when prime order?
76521
Every partial order can be extended to a linear ordering
124060
Are these subsets of the powerset P(N) countable?
79974
The cardinality of Lebesgue sets
144735
Possible cardinality of power sets
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
138279
Multiplicative order and powers
3217
Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
56492
Does the order of $f(x)$ divide the order of $x$ if $f$ is a group homomorphism?
55978
Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
127200
Are there fields and ordered fields of every infinite cardinality?
122684
How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
87830
Relating the union of the power set of a set to the set itself
6478
Prove that for any infinite poset there is an infinite subset which is either linearly ordered or antichain.
57592
Does existence of $\gcd$ implies PID?