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New posts in cardinals
What is the cardinality of the set of all sequences in $\mathbb{R}$ converging to a real number?
elementary-set-theory
cardinals
A proper subset of a set $S$ is equinumerous to $S$. Is this a contradiction? [duplicate]
elementary-set-theory
intuition
cardinals
What's the difference between saying that there is no cardinal between $\aleph_0$ and $\aleph_1$ as opposed to saying that...
set-theory
cardinals
axiom-of-choice
How does equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ in $\sf{ZF}$ relate to the axiom of choice?
set-theory
cardinals
axiom-of-choice
A simple bijection between $\mathbb{R}$ and $\mathbb{R}^4$ or $\mathbb{R}^n$?
cardinals
Is aleph-$0$ a natural number?
elementary-set-theory
cardinals
natural-numbers
How to reach $\aleph_1$ without power sets?
soft-question
set-theory
cardinals
Cardinality of a locally compact Hausdorff space without isolated points
general-topology
cardinals
axiom-of-choice
compactness
Cardinality Of $n^{\aleph_0}$ for cardinals $n$ up to $\aleph_0$?
set-theory
cardinals
How many non-isomorphic abelian groups of order $\kappa$ are there for $\kappa$ infinite?
cardinals
abelian-groups
More numbers between $[0,1]$ or $[1,\infty)$?
cardinals
infinity
infinitesimals
Medial Limit of Mokobodzki (case of Banach Limit)
functional-analysis
measure-theory
set-theory
cardinals
Arithmetics of cardinalities: if $|A|=|C|$ and $|B|=|D|$ then $|A\times B|=|D\times C|$
elementary-set-theory
discrete-mathematics
cardinals
Is a limit ordinal necessarily a cardinal?
elementary-set-theory
cardinals
ordinals
How many non-differentiable functions exist?
real-analysis
functions
elementary-set-theory
derivatives
cardinals
Ordinals that satisfy $\alpha = \aleph_\alpha$ with cofinality $\kappa$
set-theory
cardinals
"Real" cardinality, say, $\aleph_\pi$?
elementary-set-theory
cardinals
infinity
Does ZF prove that there are more cardinals than elements of any set?
set-theory
cardinals
axiom-of-choice
What is the cardinality of countable union of infinite sets?
cardinals
bound on the cardinality of the continuum? I hope not
set-theory
cardinals
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