axiom of infinity
axiom of pairing
axiom of union
axiom of extensionality
Grothendieck universe
axiom of choice
Zermelo-Fraenkel set theory
axiom of regularity
computable
Matiyasevich's theorem
set theoretically
set theory
axiom of countable choice
algebraic structure
algebraic variety
quotient set
coefficient
uncountable set
all-knowing
superintuitionistic
determinate
sets
omniscient
cardinal number
set
hypercontinuum
collection
order type
Zenonism
abstract universal
Zermelo set theory
Cantor-Bendixson theorem
subshift
IP set
multialgebra
sethood
axiom of power set
series
maximal ideal
NBG
theory
axiomatic system
pseudointersection
pseudoinfinite
Gleason's theorem
normed
Löwenheim-Skolem theorem
group
axiomatically
mathematical group
setwise
amorphous
non-classical logic
semicreative
Feit-Thompson theorem
setoid
Curry's paradox
Kruskal's tree theorem
partial sum
diagonal argument
productive
creative
Zorn's lemma
Girard's paradox
paddable
Herbrand universe
infiniteness
Knaster-Tarski theorem
infinitude
cofinite topology
Ramsey number
infinitism
limitlessness
unboundedness
real
boundlessness
divergence
crystal radio receiver
divergency
presemifield
universe of discourse
crystal radio
perfect set
subset classifier
cat's whisker receiver
foundherentism
Peano arithmetic
whatever
extensionality
whatsoever
chain
constructivism
diffeology
infinitesimal analysis
countable
Büchi automaton
any

English words for 'One of the axioms in axiomatic set theory that guarantees the existence of an infinite set.'

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