What is the argument to say that $\aleph_0$ is the smallest infinity? Can it be done whitout AC?
60004
Why is $\omega$ the smallest $\infty$?
86926
Why isn't this a well ordering of $\{A\subseteq\mathbb N\mid A\text{ is infinite}\}$?
31889
The limit as $n$ approaches infinity of $n(a^{1/n}-1)$
57969
Prove that $0$ is not an essential singularity (UW Madison Qualifying exam)
112910
Is the set of real numbers really uncountably infinite?
68233
Fermat's little theorem's proof for a negative integer
87366
How can infinity be an accumulation point?
137564
What exactly is meant by infinity?
55995
Why is the supremum of the empty set $-\infty$ and the infimum $\infty$?
3902
Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?
116776
Opposite of "infinitesimal"
63315
Limit to infinity and infinite logarithms?
64797
Does an absolutely integrable function tend to $0$ as its argument tends to infinity?
30519
"Real" cardinality, say, $\aleph_\pi$?
126569
Can we find a well ordering on an infinite set with no largest element?
129813
Is there an easy proof for ${\aleph_\omega} ^ {\aleph_1} = {2}^{\aleph_1}\cdot{\aleph_\omega}^{\aleph_0}$?
146432
If $2^{\aleph_0}=\aleph_2$, what is known about $2^{\aleph_1}$?