New posts in Axiom Of Choice

Axiom of choice and cartesian product

Regarding the Post: "Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?"

Is there any way to avoid using Axiom of Choice in proving this theorem?

What is a good argument for rejecting the axiom of choice?

Axiom of Choice in General Topology

Models of set theory where not every set can be linearly ordered

Do I need axiom of choice to construct $\sqrt x$?

Finding a basis of an infinite dimensional vector space with a given vector

Why does Zorn's Lemma fail to produce a largest group?

Cambridge Tripos 2015: Zorn's Lemma Proof Requiring Axiom of Choice