An important and fundamental axiom in set theory sometimes called Zermelo's axiom of choice. It was formulated by Zermelo in 1904 and states that, given any set of mutually disjoint nonempty sets, there exists at least one set that contains exactly one element in common with each of the nonempty sets. The axiom of choice is related to the first of Hilbert's problems.
Stats
created |
6 years ago by Charles Stewart |
viewed |
20 times |
active |
1 month ago |
editors |
2 |
Top Answerers
more »Recent Hot Answers
Does every non-empty set admit a group structure (in ZF)?Most 'unintuitive' application of the Axiom of Choice?
Why worry about the axiom of choice?
Why worry about the axiom of choice?
Why worry about the axiom of choice?
more »
Related Tags
set-theory × 197
lo.logic × 112
forcing × 21
reference-request × 19
large-cardinals × 16
ct.category-theory × 12
gn.general-topology × 11
measure-theory × 11
linear-algebra × 10
fields × 8
axioms × 5
model-theory × 5
order-theory × 4
topos-theory × 4
real-analysis × 4
gr.group-theory × 4
pr.probability × 4
ultrafilters × 4
more related tags