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

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

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