Related articles:
Set theory
Axiom
Cardinality
Functional analysis
Field (mathematics)
Cartesian product
Basis (linear algebra)
Vector space
Key terms:
zf
axiom of choice
zfc
set theory
choice function
provable
maximal
real numbers
negation
measurable
zorn
countable
zermelo
baire
least element
nonempty sets
s lemma
there exists a model
vector space
zf plus
natural numbers
hausdorff
determinacy
weaker than
other axioms
nonconstructive
generalized continuum hypothesis
independent of zf
lebesgue measurable
totally ordered subset
require the axiom of choice
if zf
provable in zf
definable
without the axiom of choice
functional analysis
partially ordered set
element from each set
our choice function
gch
infinite set
cartesian product
using the axiom of choice
maximal principle
negation of the axiom
counterintuitive
axioms of set theory
proven to exist
mathematical logic
bins
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