How to apply Zorn's Lemma to prove cardinalities are a total order?
39708
Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
52451
Ordered Triples and Set Theory
62687
Proving Cardinality of Cosets in Abstract Algebra
117047
exponentiation of cardinal number
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
12436
The cardinality of the set of all finite subsets of an infinite set
120522
Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
29668
Why doesn't Zorn's lemma apply to $[0,1)$?
93330
Cardinality of all cardinalities
69724
Is Zorn's lemma necessary to show discontinuous $f\colon {\mathbb R} \to {\mathbb R}$ satisfying $f(x+y) = f(x) + f(y)$?
55978
Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
106325
Question about Cardinality
39514
how do I prove that $1 > 0$ in an ordered field?
74734
(Enderton set theory) Hartog's theorem and cardinal numbers
52614
(exercise from Tao's analysis book) Proof of a lemma relating to power set of X
118189
Proving the pairing axiom from the rest of ZF
74377
Is the natural order relation on an idempotent semiring total/linear?