Infinite powers of aleph-omega
120010
Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$
79349
The Aleph numbers and infinity in calculus.
153935
A weaker Axiom of Infinity?
53525
Infiniteness of non-twin primes.
29214
Infinite DeMorgan laws
3902
Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?
138279
Multiplicative order and powers
5035
Can unprovability unprovable? Is there an $\omega$-fold unprovability?
56143
Proof of a basic $AC_\omega$ equivalence
109801
multiplicative group of infinite fields
83185
How to show countability of $\omega^\omega$ or $\epsilon_0$ in ZF?
30519
"Real" cardinality, say, $\aleph_\pi$?
35855
Closed form for an infinite product
63315
Limit to infinity and infinite logarithms?
23442
Cardinality of the union of infinite and countable sets
99526
Is $\lim\limits_{n\rightarrow\infty} n$ comparable to $\aleph_0$?
9651
Cardinality of cartesian product of an infinite set with N