Can we have calculus without axiom of choice
131889
Axiom of choice and calculus
20252
The Axiom of Choice and the Cartesian Product.
123132
Counterexample for a non-measurable function?
34674
Does the proof of Bolzano-Weierstrass theorem require axiom of choice?
49276
Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
65371
Does $2^X \cong 2^Y$ imply $X \cong Y$ without assuming the axiom of choice?
81509
The cardinality of a countable union of countable sets, without the axiom of choice
65308
Axiom of Choice: Family of non-empty sets mutually disjoint or not?
78290
Countable axiom of choice: why you can't prove it from just ZF
126862
Confused about $x \notin x$ example in Axiom of Specification
99168
Does Hilbert's $\varepsilon$-calculus have any real problem when using for incomplete systems?
142219
Does the splitting lemma hold without the axiom of choice?
69337
Zorn's Lemma And Axiom of Choice
125615
Defining the derivative without limits
29755
Power set equivalency of Axiom of Choice
34045
3 Statements of axiom of choice are equivalent
58631
Continuity and the Axiom of Choice