15 Answered Questions

[SOLVED] Why worry about the axiom of choice?

2 Answered Questions

[SOLVED] Does ZFC prove the universe is linearly orderable?

2 Answered Questions

[SOLVED] Does every non-empty set admit a group structure (in ZF)?

0 Answered Questions

4 Answered Questions

4 Answered Questions

3 Answered Questions

16 Answered Questions

[SOLVED] Most 'unintuitive' application of the Axiom of Choice?

3 Answered Questions

[SOLVED] Existence of prime ideals and Axiom of Choice.

2 Answered Questions

[SOLVED] What is a Choice Principle, really?

1 Answered Questions

[SOLVED] Does $2^X=2^Y\Rightarrow |X|=|Y|$ imply the axiom of choice?

1 Answered Questions

[SOLVED] Dual Schroeder-Bernstein theorem

1 Answered Questions

2 Answered Questions

4 Answered Questions

[SOLVED] Are all sets totally ordered ?

2 Answered Questions

0 Answered Questions

The axiom $I_0$ in the absence of $AC$

2 Answered Questions

[SOLVED] Sizes of bases of vector spaces without the axiom of choice

4 Answered Questions

2 Answered Questions

5 Answered Questions

[SOLVED] Does k(X) have a k-basis for every set X, without AC?

0 Answered Questions

Cardinal characteristics without choice